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List of pitch intervals - Wikipedia

Cents Note (from C) Freq. ratio Prime factors Interval name TET Limit M S

0.00

C[2] 1 : 1 1 : 1 playⓘ Unison,[3] monophony,[4] perfect prime/first, [3] tonic,[5] or fundamental 1, 12 3 M

0.03

65537 : 65536 65537 : 216 playⓘ Sixty-five-thousand-five-hundred-thirty-seventh harmonic 65537 S

0.40

C♯− 4375 : 4374 54×7 : 2×37 playⓘ Ragisma[3][6] 7 S

0.72

E+ 2401 : 2400 74 : 25×3×52 playⓘ Breedsma[3][6] 7 S

1.00

21/1200 21/1200 playⓘ Cent[7] 1200

1.20

21/1000 21/1000 playⓘ Millioctave 1000

1.95

B♯++ 32805 : 32768 38×5 : 215 playⓘ Schisma[3][5] 5

1.96

3:2÷(27/12) 3 : 219/12 Grad, Werckmeister[8]

3.99

101/1000 21/1000×51/1000 playⓘ Savart or eptaméride 301.03

7.71

B♯ 225 : 224 32×52 : 25×7 playⓘ Septimal kleisma,[3][6] marvel comma 7 S

8.11

B− 15625 : 15552 56 : 26×35 playⓘ Kleisma or semicomma majeur[3][6] 5

10.06

A++ 2109375 : 2097152 33×57 : 221 playⓘ Semicomma,[3][6] Fokker's comma[3] 5

10.85

C 160 : 159 25×5 : 3×53 playⓘ Difference between 5:3 & 53:32 53 S

11.98

C 145 : 144 5×29 : 24×32 playⓘ Difference between 29:16 & 9:5 29 S

12.50

21/96 21/96 playⓘ Sixteenth tone 96

13.07

B− 1728 : 1715 26×33 : 5×73 playⓘ Orwell comma[3][9] 7

13.47

C 129 : 128 3×43 : 27 playⓘ Hundred-twenty-ninth harmonic 43 S

13.79

D 126 : 125 2×32×7 : 53 playⓘ Small septimal semicomma,[6] small septimal comma,[3] starling comma 7 S

14.37

C♭↑↑− 121 : 120 112 : 23×3×5 playⓘ Undecimal seconds comma[3] 11 S

16.67

C↑[a] 21/72 21/72 playⓘ 1 step in 72 equal temperament 72

18.13

C 96 : 95 25×3 : 5×19 playⓘ Difference between 19:16 & 6:5 19 S

19.55

D--[2] 2048 : 2025 211 : 34×52 playⓘ Diaschisma,[3][6] minor comma 5

21.51

C+[2] 81 : 80 34 : 24×5 playⓘ Syntonic comma,[3][5][6] major comma, komma, chromatic diesis, or comma of Didymus[3][6][10][11] 5 S

22.64

21/53 21/53 playⓘ Holdrian comma, Holder's comma, 1 step in 53 equal temperament 53

23.46

B♯+++ 531441 : 524288 312 : 219 playⓘ Pythagorean comma,[3][5][6][10][11] ditonic comma, Pythagorean augmented seventh[3][6] 3

25.00

21/48 21/48 playⓘ Eighth tone 48

26.84

C 65 : 64 5×13 : 26 playⓘ Sixty-fifth harmonic,[5] 13th-partial chroma[3] 13 S

27.26

C− 64 : 63 26 : 32×7 playⓘ Septimal comma,[3][6][11] Archytas' comma,[3] 63rd subharmonic 7 S

29.27

21/41 21/41 playⓘ 1 step in 41 equal temperament 41

31.19

D♭↓ 56 : 55 23×7 : 5×11 playⓘ Undecimal diesis,[3] Ptolemy's enharmonic:[5] difference between (11 : 8) and (7 : 5) tritone 11 S

33.33

C/D♭[a] 21/36 21/36 playⓘ Sixth tone 36, 72

34.28

C 51 : 50 3×17 : 2×52 playⓘ Difference between 17:16 & 25:24 17 S

34.98

B♯- 50 : 49 2×52 : 72 playⓘ Septimal sixth tone or jubilisma, Erlich's decatonic comma or tritonic diesis[3][6] 7 S

35.70

D♭ 49 : 48 72 : 24×3 playⓘ Septimal diesis, slendro diesis or septimal 1/6-tone[3] 7 S

38.05

C 46 : 45 2×23 : 32×5 playⓘ Inferior quarter tone,[5] difference between 23:16 & 45:32 23 S

38.71

21/31 21/31 playⓘ 1 step in 31 equal temperament or Normal Diesis 31

38.91

C↓♯+ 45 : 44 32×5 : 4×11 playⓘ Undecimal diesis or undecimal fifth tone 11 S

40.00

21/30 21/30 playⓘ Fifth tone 30

41.06

D− 128 : 125 27 : 53 playⓘ Enharmonic diesis or 5-limit limma, minor diesis,[6] diminished second,[5][6] minor diesis or diesis,[3] 125th subharmonic 5

41.72

D♭ 42 : 41 2×3×7 : 41 playⓘ Lesser 41-limit fifth tone 41 S

42.75

C 41 : 40 41 : 23×5 playⓘ Greater 41-limit fifth tone 41 S

43.83

C♯ 40 : 39 23×5 : 3×13 playⓘ Tridecimal fifth tone 13 S

44.97

C 39 : 38 3×13 : 2×19 playⓘ Superior quarter-tone,[5] novendecimal fifth tone 19 S

46.17

D- 38 : 37 2×19 : 37 playⓘ Lesser 37-limit quarter tone 37 S

47.43

C♯ 37 : 36 37 : 22×32 playⓘ Greater 37-limit quarter tone 37 S

48.77

C 36 : 35 22×32 : 5×7 playⓘ Septimal quarter tone, septimal diesis,[3][6] septimal chroma,[2] superior quarter tone[5] 7 S

49.98

246 : 239 3×41 : 239 playⓘ Just quarter tone[11] 239

50.00

C/D 21/24 21/24 playⓘ Equal-tempered quarter tone 24

50.18

D♭ 35 : 34 5×7 : 2×17 playⓘ ET quarter-tone approximation,[5] lesser 17-limit quarter tone 17 S

50.72

B♯++ 59049 : 57344 310 : 213×7 playⓘ Harrison's comma (10 P5s – 1 H7)[3] 7

51.68

C↓♯ 34 : 33 2×17 : 3×11 playⓘ Greater 17-limit quarter tone 17 S

53.27

C↑ 33 : 32 3×11 : 25 playⓘ Thirty-third harmonic,[5] undecimal comma, undecimal quarter tone 11 S

54.96

D♭- 32 : 31 25 : 31 playⓘ Inferior quarter-tone,[5] thirty-first subharmonic 31 S

56.55

B♯+ 529 : 512 232 : 29 playⓘ Five-hundred-twenty-ninth harmonic 23

56.77

C 31 : 30 31 : 2×3×5 playⓘ Greater quarter-tone,[5] difference between 31:16 & 15:8 31 S

58.69

C♯ 30 : 29 2×3×5 : 29 playⓘ Lesser 29-limit quarter tone 29 S

60.75

C 29 : 28 29 : 22×7 playⓘ Greater 29-limit quarter tone 29 S

62.96

D♭- 28 : 27 22×7 : 33 playⓘ Septimal minor second, small minor second, inferior quarter tone[5] 7 S

63.81

(3 : 2)1/11 31/11 : 21/11 playⓘ Beta scale step 18.80

65.34

C♯+ 27 : 26 33 : 2×13 playⓘ Chromatic diesis,[12] tridecimal comma[3] 13 S

66.34

D♭ 133 : 128 7×19 : 27 playⓘ One-hundred-thirty-third harmonic 19

66.67

C↑/C♯[a] 21/18 21/18 playⓘ Third tone 18, 36, 72

67.90

D- 26 : 25 2×13 : 52 playⓘ Tridecimal third tone, third tone[5] 13 S

70.67

C♯[2] 25 : 24 52 : 23×3 playⓘ Just chromatic semitone or minor chroma,[3] lesser chromatic semitone, small (just) semitone[11] or minor second,[4] minor chromatic semitone,[13] or minor semitone,[5] 2⁄7-comma meantone chromatic semitone, augmented unison 5 S

73.68

D♭- 24 : 23 23×3 : 23 playⓘ Lesser 23-limit semitone 23 S

75.00

21/16 23/48 playⓘ 1 step in 16 equal temperament, 3 steps in 48 16, 48

76.96

C↓♯+ 23 : 22 23 : 2×11 playⓘ Greater 23-limit semitone 23 S

78.00

(3 : 2)1/9 31/9 : 21/9 playⓘ Alpha scale step 15.39

79.31

67 : 64 67 : 26 playⓘ Sixty-seventh harmonic[5] 67

80.54

C↑- 22 : 21 2×11 : 3×7 playⓘ Hard semitone,[5] two-fifth tone small semitone 11 S

84.47

D♭ 21 : 20 3×7 : 22×5 playⓘ Septimal chromatic semitone, minor semitone[3] 7 S

88.80

C♯ 20 : 19 22×5 : 19 playⓘ Novendecimal augmented unison 19 S

90.22

D♭−−[2] 256 : 243 28 : 35 playⓘ Pythagorean minor second or limma,[3][6][11] Pythagorean diatonic semitone, Low Semitone[14] 3

92.18

C♯+[2] 135 : 128 33×5 : 27 playⓘ Greater chromatic semitone, chromatic semitone, semitone medius, major chroma or major limma,[3] small limma,[11] major chromatic semitone,[13] limma ascendant[5] 5

93.60

D♭- 19 : 18 19 : 2×32 Novendecimal minor secondplayⓘ 19 S

97.36

D↓↓ 128 : 121 27 : 112 playⓘ 121st subharmonic,[5][6] undecimal minor second 11

98.95

D♭ 18 : 17 2×32 : 17 playⓘ Just minor semitone, Arabic lute index finger[3] 17 S

100.00

C♯/D♭ 21/12 21/12 playⓘ Equal-tempered minor second or semitone 12 M

104.96

C♯[2] 17 : 16 17 : 24 playⓘ Minor diatonic semitone, just major semitone, overtone semitone,[5] 17th harmonic,[3] limma[citation needed] 17 S

111.45

25√5 (5 : 1)1/25 playⓘ Studie II interval (compound just major third, 5:1, divided into 25 equal parts) 10.77

111.73

D♭-[2] 16 : 15 24 : 3×5 playⓘ Just minor second,[15] just diatonic semitone, large just semitone or major second,[4] major semitone,[5] limma, minor diatonic semitone,[3] diatonic second[16] semitone,[14] diatonic semitone,[11] 1⁄6-comma meantone minor second 5 S

113.69

C♯++ 2187 : 2048 37 : 211 playⓘ Apotome[3][11] or Pythagorean major semitone,[6] Pythagorean augmented unison, Pythagorean chromatic semitone, or Pythagorean apotome 3

116.72

(18 : 5)1/19 21/19×32/19 : 51/19 playⓘ Secor 10.28

119.44

C♯ 15 : 14 3×5 : 2×7 playⓘ Septimal diatonic semitone, major diatonic semitone,[3] Cowell semitone[5] 7 S

125.00

25/48 25/48 playⓘ 5 steps in 48 equal temperament 48

128.30

D 14 : 13 2×7 : 13 playⓘ Lesser tridecimal 2/3-tone[17] 13 S

130.23

C♯+ 69 : 64 3×23 : 26 playⓘ Sixty-ninth harmonic[5] 23

133.24

D♭ 27 : 25 33 : 52 playⓘ Semitone maximus, minor second, large limma or Bohlen-Pierce small semitone,[3] high semitone,[14] alternate Renaissance half-step,[5] large limma, acute minor second[citation needed] 5

133.33

C♯/D♭[a] 21/9 22/18 playⓘ Two-third tone 9, 18, 36, 72

138.57

D♭- 13 : 12 13 : 22×3 playⓘ Greater tridecimal 2/3-tone,[17] Three-quarter tone[5] 13 S

150.00

C/D 23/24 21/8 playⓘ Equal-tempered neutral second 8, 24

150.64

D↓[2] 12 : 11 22×3 : 11 playⓘ 3⁄4 tone or Undecimal neutral second,[3][5] trumpet three-quarter tone,[11] middle finger [between frets][14] 11 S

155.14

D 35 : 32 5×7 : 25 playⓘ Thirty-fifth harmonic[5] 7

160.90

D−− 800 : 729 25×52 : 36 playⓘ Grave whole tone,[3] neutral second, grave major second[citation needed] 5

165.00

D↑♭−[2] 11 : 10 11 : 2×5 playⓘ Greater undecimal minor/major/neutral second, 4/5-tone[6] or Ptolemy's second[3] 11 S

171.43

21/7 21/7 playⓘ 1 step in 7 equal temperament 7

175.00

27/48 27/48 playⓘ 7 steps in 48 equal temperament 48

179.70

71 : 64 71 : 26 playⓘ Seventy-first harmonic[5] 71

180.45

E−−− 65536 : 59049 216 : 310 playⓘ Pythagorean diminished third,[3][6] Pythagorean minor tone 3

182.40

D−[2] 10 : 9 2×5 : 32 playⓘ Small just whole tone or major second,[4] minor whole tone,[3][5] lesser whole tone,[16] minor tone,[14] minor second,[11] half-comma meantone major second 5 S

200.00

D 22/12 21/6 playⓘ Equal-tempered major second 6, 12 M

203.91

D[2] 9 : 8 32 : 23 playⓘ Pythagorean major second, Large just whole tone or major second[11] (sesquioctavan),[4] tonus, major whole tone,[3][5] greater whole tone,[16] major tone[14] 3 S

215.89

D 145 : 128 5×29 : 27 playⓘ Hundred-forty-fifth harmonic 29

223.46

E−[2] 256 : 225 28 : 32×52 playⓘ Just diminished third,[16] 225th subharmonic 5

225.00

23/16 29/48 playⓘ 9 steps in 48 equal temperament 16, 48

227.79

73 : 64 73 : 26 playⓘ Seventy-third harmonic[5] 73

231.17

D−[2] 8 : 7 23 : 7 playⓘ Septimal major second,[4] septimal whole tone[3][5] 7 S

240.00

21/5 21/5 playⓘ 1 step in 5 equal temperament 5

247.74

D♯ 15 : 13 3×5 : 13 playⓘ Tridecimal 5⁄4 tone[3] 13

250.00

D/E 25/24 25/24 playⓘ 5 steps in 24 equal temperament 24

251.34

D♯ 37 : 32 37 : 25 playⓘ Thirty-seventh harmonic[5] 37

253.08

D♯− 125 : 108 53 : 22×33 playⓘ Semi-augmented whole tone,[3] semi-augmented second[citation needed] 5

262.37

E↓♭ 64 : 55 26 : 5×11 playⓘ 55th subharmonic[5][6] 11

266.87

E♭[2] 7 : 6 7 : 2×3 playⓘ Septimal minor third[3][4][11] or Sub minor third[14] 7 S

268.80

D 299 : 256 13×23 : 28 playⓘ Two-hundred-ninety-ninth harmonic 23

274.58

D♯[2] 75 : 64 3×52 : 26 playⓘ Just augmented second,[16] Augmented tone,[14] augmented second[5][13] 5

275.00

211/48 211/48 playⓘ 11 steps in 48 equal temperament 48

289.21

E↓♭ 13 : 11 13 : 11 playⓘ Tridecimal minor third[3] 13

294.13

E♭−[2] 32 : 27 25 : 33 playⓘ Pythagorean minor third[3][5][6][14][16] semiditone, or 27th subharmonic 3

297.51

E♭[2] 19 : 16 19 : 24 playⓘ 19th harmonic,[3] 19-limit minor third, overtone minor third[5] 19

300.00

D♯/E♭ 23/12 21/4 playⓘ Equal-tempered minor third 4, 12 M

301.85

D♯- 25 : 21[5] 52 : 3×7 playⓘ Quasi-equal-tempered minor third, 2nd 7-limit minor third, Bohlen-Pierce second[3][6] 7

310.26

6:5÷(81:80)1/4 22 : 53/4 playⓘ Quarter-comma meantone minor third M

311.98

(3 : 2)4/9 34/9 : 24/9 playⓘ Alpha scale minor third 15.39

315.64

E♭[2] 6 : 5 2×3 : 5 playⓘ Just minor third,[3][4][5][11][16] minor third,[14] 1⁄3-comma meantone minor third 5 M S

317.60

D♯++ 19683 : 16384 39 : 214 playⓘ Pythagorean augmented second[3][6] 3

320.14

E♭↑ 77 : 64 7×11 : 26 playⓘ Seventy-seventh harmonic[5] 11

325.00

213/48 213/48 playⓘ 13 steps in 48 equal temperament 48

336.13

D♯- 17 : 14 17 : 2×7 playⓘ Superminor third[18] 17

337.15

E♭+ 243 : 200 35 : 23×52 playⓘ Acute minor third[3] 5

342.48

E♭ 39 : 32 3×13 : 25 playⓘ Thirty-ninth harmonic[5] 13

342.86

22/7 22/7 playⓘ 2 steps in 7 equal temperament 7

342.91

E♭- 128 : 105 27 : 3×5×7 playⓘ 105th subharmonic,[5] septimal neutral third[6] 7

347.41

E↑♭−[2] 11 : 9 11 : 32 playⓘ Undecimal neutral third[3][5] 11

350.00

D/E 27/24 27/24 playⓘ Equal-tempered neutral third 24

354.55

E↓+ 27 : 22 33 : 2×11 playⓘ Zalzal's wosta[6] 12:11 X 9:8[14] 11

359.47

E[2] 16 : 13 24 : 13 playⓘ Tridecimal neutral third[3] 13

364.54

79 : 64 79 : 26 playⓘ Seventy-ninth harmonic[5] 79

364.81

E− 100 : 81 22×52 : 34 playⓘ Grave major third[3] 5

375.00

25/16 215/48 playⓘ 15 steps in 48 equal temperament 16, 48

384.36

F♭−− 8192 : 6561 213 : 38 playⓘ Pythagorean diminished fourth,[3][6] Pythagorean 'schismatic' third[5] 3

386.31

E[2] 5 : 4 5 : 22 playⓘ Just major third,[3][4][5][11][16] major third,[14] quarter-comma meantone major third 5 M S

397.10

E+ 161 : 128 7×23 : 27 playⓘ One-hundred-sixty-first harmonic 23

400.00

E 24/12 21/3 playⓘ Equal-tempered major third 3, 12 M

402.47

E 323 : 256 17×19 : 28 playⓘ Three-hundred-twenty-third harmonic 19

407.82

E+[2] 81 : 64 34 : 26 playⓘ Pythagorean major third,[3][5][6][14][16] ditone 3

417.51

F↓+[2] 14 : 11 2×7 : 11 playⓘ Undecimal diminished fourth or major third[3] 11

425.00

217/48 217/48 playⓘ 17 steps in 48 equal temperament 48

427.37

F♭[2] 32 : 25 25 : 52 playⓘ Just diminished fourth,[16] diminished fourth,[5][13] 25th subharmonic 5

429.06

E 41 : 32 41 : 25 playⓘ Forty-first harmonic[5] 41

435.08

E[2] 9 : 7 32 : 7 playⓘ Septimal major third,[3][5] Bohlen-Pierce third,[3] Super major Third[14] 7

444.77

F↓ 128 : 99 27 : 32×11 playⓘ 99th subharmonic[5][6] 11

450.00

E/F 29/24 29/24 playⓘ 9 steps in 24 equal temperament 8, 24

450.05

83 : 64 83 : 26 playⓘ Eighty-third harmonic[5] 83

454.21

F♭ 13 : 10 13 : 2×5 playⓘ Tridecimal major third or diminished fourth 13

456.99

E♯[2] 125 : 96 53 : 25×3 playⓘ Just augmented third, augmented third[5] 5

462.35

E- 64 : 49 26 : 72 playⓘ 49th subharmonic[5][6] 7

470.78

F+[2] 21 : 16 3×7 : 24 playⓘ Twenty-first harmonic, narrow fourth,[3] septimal fourth,[5] wide augmented third,[citation needed] H7 on G 7

475.00

219/48 219/48 playⓘ 19 steps in 48 equal temperament 48

478.49

E♯+ 675 : 512 33×52 : 29 playⓘ Six-hundred-seventy-fifth harmonic, wide augmented third[3] 5

480.00

22/5 22/5 playⓘ 2 steps in 5 equal temperament 5

491.27

E♯ 85 : 64 5×17 : 26 playⓘ Eighty-fifth harmonic[5] 17

498.04

F[2] 4 : 3 22 : 3 playⓘ Perfect fourth,[3][5][16] Pythagorean perfect fourth, Just perfect fourth or diatessaron[4] 3 S

500.00

F 25/12 25/12 playⓘ Equal-tempered perfect fourth 12 M

501.42

F+ 171 : 128 32×19 : 27 playⓘ One-hundred-seventy-first harmonic 19

510.51

(3 : 2)8/11 38/11 : 28/11 playⓘ Beta scale perfect fourth 18.80

511.52

F 43 : 32 43 : 25 playⓘ Forty-third harmonic[5] 43

514.29

23/7 23/7 playⓘ 3 steps in 7 equal temperament 7

519.55

F+[2] 27 : 20 33 : 22×5 playⓘ 5-limit wolf fourth, acute fourth,[3] imperfect fourth[16] 5

521.51

E♯+++ 177147 : 131072 311 : 217 playⓘ Pythagorean augmented third[3][6] (F+ (pitch)) 3

525.00

27/16 221/48 playⓘ 21 steps in 48 equal temperament 16, 48

531.53

F+ 87 : 64 3×29 : 26 playⓘ Eighty-seventh harmonic[5] 29

536.95

F↓♯+ 15 : 11 3×5 : 11 playⓘ Undecimal augmented fourth[3] 11

550.00

F/G 211/24 211/24 playⓘ 11 steps in 24 equal temperament 24

551.32

F↑[2] 11 : 8 11 : 23 playⓘ eleventh harmonic,[5] undecimal tritone,[5] lesser undecimal tritone, undecimal semi-augmented fourth[3] 11

563.38

F♯+ 18 : 13 2×9 : 13 playⓘ Tridecimal augmented fourth[3] 13

568.72

F♯[2] 25 : 18 52 : 2×32 playⓘ Just augmented fourth[3][5] 5

570.88

89 : 64 89 : 26 playⓘ Eighty-ninth harmonic[5] 89

575.00

223/48 223/48 playⓘ 23 steps in 48 equal temperament 48

582.51

G♭[2] 7 : 5 7 : 5 playⓘ Lesser septimal tritone, septimal tritone[3][4][5] Huygens' tritone or Bohlen-Pierce fourth,[3] septimal fifth,[11] septimal diminished fifth[19] 7

588.27

G♭−− 1024 : 729 210 : 36 playⓘ Pythagorean diminished fifth,[3][6] low Pythagorean tritone[5] 3

590.22

F♯+[2] 45 : 32 32×5 : 25 playⓘ Just augmented fourth, just tritone,[4][11] tritone,[6] diatonic tritone,[3] 'augmented' or 'false' fourth,[16] high 5-limit tritone,[5] 1⁄6-comma meantone augmented fourth 5

595.03

G♭ 361 : 256 192 : 28 playⓘ Three-hundred-sixty-first harmonic 19

600.00

F♯/G♭ 26/12 21/2=√2 playⓘ Equal-tempered tritone 2, 12 M

609.35

G♭ 91 : 64 7×13 : 26 playⓘ Ninety-first harmonic[5] 13

609.78

G♭−[2] 64 : 45 26 : 32×5 playⓘ Just tritone,[4] 2nd tritone,[6] 'false' fifth,[16] diminished fifth,[13] low 5-limit tritone,[5] 45th subharmonic 5

611.73

F♯++ 729 : 512 36 : 29 playⓘ Pythagorean tritone,[3][6] Pythagorean augmented fourth, high Pythagorean tritone[5] 3

617.49

F♯[2] 10 : 7 2×5 : 7 playⓘ Greater septimal tritone, septimal tritone,[4][5] Euler's tritone[3] 7

625.00

225/48 225/48 playⓘ 25 steps in 48 equal temperament 48

628.27

F♯+ 23 : 16 23 : 24 playⓘ Twenty-third harmonic,[5] classic diminished fifth[citation needed] 23

631.28

G♭[2] 36 : 25 22×32 : 52 playⓘ Just diminished fifth[5] 5

646.99

F♯+ 93 : 64 3×31 : 26 playⓘ Ninety-third harmonic[5] 31

648.68

G↓[2] 16 : 11 24 : 11 playⓘ ` undecimal semi-diminished fifth[3] 11

650.00

F/G 213/24 213/24 playⓘ 13 steps in 24 equal temperament 24

665.51

G 47 : 32 47 : 25 playⓘ Forty-seventh harmonic[5] 47

675.00

29/16 227/48 playⓘ 27 steps in 48 equal temperament 16, 48

678.49

A−−− 262144 : 177147 218 : 311 playⓘ Pythagorean diminished sixth[3][6] 3

680.45

G− 40 : 27 23×5 : 33 playⓘ 5-limit wolf fifth,[5] or diminished sixth, grave fifth,[3][6][11] imperfect fifth,[16] 5

683.83

G 95 : 64 5×19 : 26 playⓘ Ninety-fifth harmonic[5] 19

684.82

E++ 12167 : 8192 233 : 213 playⓘ 12167th harmonic 23

685.71

24/7 : 1 playⓘ 4 steps in 7 equal temperament 7

691.20

3:2÷(81:80)1/2 2×51/2 : 3 playⓘ Half-comma meantone perfect fifth M

694.79

3:2÷(81:80)1/3 21/3×51/3 : 31/3 playⓘ 1⁄3-comma meantone perfect fifth M

695.81

3:2÷(81:80)2/7 21/7×52/7 : 31/7 playⓘ 2⁄7-comma meantone perfect fifth M

696.58

3:2÷(81:80)1/4 51/4 playⓘ Quarter-comma meantone perfect fifth M

697.65

3:2÷(81:80)1/5 31/5×51/5 : 21/5 playⓘ 1⁄5-comma meantone perfect fifth M

698.37

3:2÷(81:80)1/6 31/3×51/6 : 21/3 playⓘ 1⁄6-comma meantone perfect fifth M

700.00

G 27/12 27/12 playⓘ Equal-tempered perfect fifth 12 M

701.89

231/53 231/53 playⓘ 53-TET perfect fifth 53

701.96

G[2] 3 : 2 3 : 2 playⓘ Perfect fifth,[3][5][16] Pythagorean perfect fifth, Just perfect fifth or diapente,[4] fifth,[14] Just fifth[11] 3 S

702.44

224/41 224/41 playⓘ 41-TET perfect fifth 41

703.45

217/29 217/29 playⓘ 29-TET perfect fifth 29

719.90

97 : 64 97 : 26 playⓘ Ninety-seventh harmonic[5] 97

720.00

23/5 : 1 playⓘ 3 steps in 5 equal temperament 5

721.51

A− 1024 : 675 210 : 33×52 playⓘ Narrow diminished sixth[3] 5

725.00

229/48 229/48 playⓘ 29 steps in 48 equal temperament 48

729.22

G- 32 : 21 24 : 3×7 playⓘ 21st subharmonic,[5][6] septimal diminished sixth 7

733.23

F+ 391 : 256 17×23 : 28 playⓘ Three-hundred-ninety-first harmonic 23

737.65

A♭+ 49 : 32 7×7 : 25 playⓘ Forty-ninth harmonic[5] 7

743.01

A 192 : 125 26×3 : 53 playⓘ Classic diminished sixth[3] 5

750.00

G/A 215/24 215/24 playⓘ 15 steps in 24 equal temperament 8, 24

755.23

G↑ 99 : 64 32×11 : 26 playⓘ Ninety-ninth harmonic[5] 11

764.92

A♭[2] 14 : 9 2×7 : 32 playⓘ Septimal minor sixth[3][5] 7

772.63

G♯ 25 : 16 52 : 24 playⓘ Just augmented fifth[5][16] 5

775.00

231/48 231/48 playⓘ 31 steps in 48 equal temperament 48

781.79

π : 2 playⓘ Wallis product

782.49

G↑-[2] 11 : 7 11 : 7 playⓘ Undecimal minor sixth,[5] undecimal augmented fifth,[3] Lucas numbers 11

789.85

101 : 64 101 : 26 playⓘ Hundred-first harmonic[5] 101

792.18

A♭−[2] 128 : 81 27 : 34 playⓘ Pythagorean minor sixth,[3][5][6] 81st subharmonic 3

798.40

A♭+ 203 : 128 7×29 : 27 playⓘ Two-hundred-third harmonic 29

800.00

G♯/A♭ 28/12 22/3 playⓘ Equal-tempered minor sixth 3, 12 M

806.91

G♯ 51 : 32 3×17 : 25 playⓘ Fifty-first harmonic[5] 17

813.69

A♭[2] 8 : 5 23 : 5 playⓘ Just minor sixth[3][4][11][16] 5

815.64

G♯++ 6561 : 4096 38 : 212 playⓘ Pythagorean augmented fifth,[3][6] Pythagorean 'schismatic' sixth[5] 3

823.80

103 : 64 103 : 26 playⓘ Hundred-third harmonic[5] 103

825.00

211/16 233/48 playⓘ 33 steps in 48 equal temperament 16, 48

832.18

G♯+ 207 : 128 32×23 : 27 playⓘ Two-hundred-seventh harmonic 23

833.09

(51/2+1)/2 φ : 1 playⓘ Golden ratio (833 cents scale)

835.19

A♭+ 81 : 50 34 : 2×52 playⓘ Acute minor sixth[3] 5

840.53

A♭[2] 13 : 8 13 : 23 playⓘ Tridecimal neutral sixth, [3]Fibonacci numbers, overtone sixth,[5] thirteenth harmonic 13

848.83

A♭↑ 209 : 128 11×19 : 27 playⓘ Two-hundred-ninth harmonic 19

850.00

G/A 217/24 217/24 playⓘ Equal-tempered neutral sixth 24

852.59

A↓+[2] 18 : 11 2×32 : 11 playⓘ Undecimal neutral sixth,[3][5] Zalzal's neutral sixth 11

857.09

A+ 105 : 64 3×5×7 : 26 playⓘ Hundred-fifth harmonic[5] 7

857.14

25/7 25/7 playⓘ 5 steps in 7 equal temperament 7

862.85

A− 400 : 243 24×52 : 35 playⓘ Grave major sixth[3] 5

873.50

A 53 : 32 53 : 25 playⓘ Fifty-third harmonic[5] 53

875.00

235/48 235/48 playⓘ 35 steps in 48 equal temperament 48

879.86

A↓ 128 : 77 27 : 7×11 playⓘ 77th subharmonic[5][6] 11

882.40

B−−− 32768 : 19683 215 : 39 playⓘ Pythagorean diminished seventh[3][6] 3

884.36

A[2] 5 : 3 5 : 3 playⓘ Just major sixth,[3][4][5][11][16] Bohlen-Pierce sixth,[3] 1⁄3-comma meantone major sixth 5 M

889.76

107 : 64 107 : 26 playⓘ Hundred-seventh harmonic[5] 107

892.54

B 6859 : 4096 193 : 212 playⓘ 6859th harmonic 19

900.00

A 29/12 23/4 playⓘ Equal-tempered major sixth 4, 12 M

902.49

A 32 : 19 25 : 19 playⓘ 19th subharmonic[5][6] 19

905.87

A+[2] 27 : 16 33 : 24 playⓘ Pythagorean major sixth[3][5][11][16] 3

921.82

109 : 64 109 : 26 playⓘ Hundred-ninth harmonic[5] 109

925.00

237/48 237/48 playⓘ 37 steps in 48 equal temperament 48

925.42

B−[2] 128 : 75 27 : 3×52 playⓘ Just diminished seventh,[16] diminished seventh,[5][13] 75th subharmonic 5

925.79

A+ 437 : 256 19×23 : 28 playⓘ Four-hundred-thirty-seventh harmonic 23

933.13

A[2] 12 : 7 22×3 : 7 playⓘ Septimal major sixth[3][4][5] 7

937.63

A↑ 55 : 32 5×11 : 25 playⓘ Fifty-fifth harmonic[5][20] 11

950.00

A/B 219/24 219/24 playⓘ 19 steps in 24 equal temperament 24

953.30

A♯+ 111 : 64 3×37 : 26 playⓘ Hundred-eleventh harmonic[5] 37

955.03

A♯[2] 125 : 72 53 : 23×32 playⓘ Just augmented sixth[5] 5

957.21

(3 : 2)15/11 315/11 : 215/11 playⓘ 15 steps in Beta scale 18.80

960.00

24/5 24/5 playⓘ 4 steps in 5 equal temperament 5

968.83

B♭[2] 7 : 4 7 : 22 playⓘ Septimal minor seventh,[4][5][11] harmonic seventh,[3][11] augmented sixth[citation needed] 7

975.00

213/16 239/48 playⓘ 39 steps in 48 equal temperament 16, 48

976.54

A♯+[2] 225 : 128 32×52 : 27 playⓘ Just augmented sixth[16] 5

984.21

113 : 64 113 : 26 playⓘ Hundred-thirteenth harmonic[5] 113

996.09

B♭−[2] 16 : 9 24 : 32 playⓘ Pythagorean minor seventh,[3] Small just minor seventh,[4] lesser minor seventh,[16] just minor seventh,[11] Pythagorean small minor seventh[5] 3

999.47

B♭ 57 : 32 3×19 : 25 playⓘ Fifty-seventh harmonic[5] 19

1000.00

A♯/B♭ 210/12 25/6 playⓘ Equal-tempered minor seventh 6, 12 M

1014.59

A♯+ 115 : 64 5×23 : 26 playⓘ Hundred-fifteenth harmonic[5] 23

1017.60

B♭[2] 9 : 5 32 : 5 playⓘ Greater just minor seventh,[16] large just minor seventh,[4][5] Bohlen-Pierce seventh[3] 5

1019.55

A♯+++ 59049 : 32768 310 : 215 playⓘ Pythagorean augmented sixth[3][6] 3

1025.00

241/48 241/48 playⓘ 41 steps in 48 equal temperament 48

1028.57

26/7 26/7 playⓘ 6 steps in 7 equal temperament 7

1029.58

B♭ 29 : 16 29 : 24 playⓘ Twenty-ninth harmonic,[5] minor seventh[citation needed] 29

1035.00

B↓[2] 20 : 11 22×5 : 11 playⓘ Lesser undecimal neutral seventh, large minor seventh[3] 11

1039.10

B♭+ 729 : 400 36 : 24×52 playⓘ Acute minor seventh[3] 5

1044.44

B♭ 117 : 64 32×13 : 26 playⓘ Hundred-seventeenth harmonic[5] 13

1044.86

B♭- 64 : 35 26 : 5×7 playⓘ 35th subharmonic,[5] septimal neutral seventh[6] 7

1049.36

B↑♭−[2] 11 : 6 11 : 2×3 playⓘ 21⁄4-tone or Undecimal neutral seventh,[3] undecimal 'median' seventh[5] 11

1050.00

A/B 221/24 27/8 playⓘ Equal-tempered neutral seventh 8, 24

1059.17

59 : 32 59 : 25 playⓘ Fifty-ninth harmonic[5] 59

1066.76

B− 50 : 27 2×52 : 33 playⓘ Grave major seventh[3] 5

1071.70

B♭- 13 : 7 13 : 7 playⓘ Tridecimal neutral seventh[21] 13

1073.78

B 119 : 64 7×17 : 26 playⓘ Hundred-nineteenth harmonic[5] 17

1075.00

243/48 243/48 playⓘ 43 steps in 48 equal temperament 48

1086.31

C′♭−− 4096 : 2187 212 : 37 playⓘ Pythagorean diminished octave[3][6] 3

1088.27

B[2] 15 : 8 3×5 : 23 playⓘ Just major seventh,[3][5][11][16] small just major seventh,[4] 1⁄6-comma meantone major seventh 5

1095.04

C♭ 32 : 17 25 : 17 playⓘ 17th subharmonic[5][6] 17

1100.00

B 211/12 211/12 playⓘ Equal-tempered major seventh 12 M

1102.64

B↑↑♭- 121 : 64 112 : 26 playⓘ Hundred-twenty-first harmonic[5] 11

1107.82

C′♭− 256 : 135 28 : 33×5 playⓘ Octave − major chroma,[3] 135th subharmonic, narrow diminished octave[citation needed] 5

1109.78

B+[2] 243 : 128 35 : 27 playⓘ Pythagorean major seventh[3][5][6][11] 3

1116.88

61 : 32 61 : 25 playⓘ Sixty-first harmonic[5] 61

1125.00

215/16 245/48 playⓘ 45 steps in 48 equal temperament 16, 48

1129.33

C′♭[2] 48 : 25 24×3 : 52 playⓘ Classic diminished octave,[3][6] large just major seventh[4] 5

1131.02

B 123 : 64 3×41 : 26 playⓘ Hundred-twenty-third harmonic[5] 41

1137.04

B 27 : 14 33 : 2×7 playⓘ Septimal major seventh[5] 7

1138.04

C♭ 247 : 128 13×19 : 27 playⓘ Two-hundred-forty-seventh harmonic 19

1145.04

B 31 : 16 31 : 24 playⓘ Thirty-first harmonic,[5] augmented seventh[citation needed] 31

1146.73

C↓ 64 : 33 26 : 3×11 playⓘ 33rd subharmonic[6] 11

1150.00

B/C 223/24 223/24 playⓘ 23 steps in 24 equal temperament 24

1151.23

C 35 : 18 5×7 : 2×32 playⓘ Septimal supermajor seventh, septimal quarter tone inverted 7

1158.94

B♯[2] 125 : 64 53 : 26 playⓘ Just augmented seventh,[5] 125th harmonic 5

1172.74

C+ 63 : 32 32×7 : 25 playⓘ Sixty-third harmonic[5] 7

1175.00

247/48 247/48 playⓘ 47 steps in 48 equal temperament 48

1178.49

C′− 160 : 81 25×5 : 34 playⓘ Octave − syntonic comma,[3] semi-diminished octave[citation needed] 5

1179.59

B↑ 253 : 128 11×23 : 27 playⓘ Two-hundred-fifty-third harmonic[5] 23

1186.42

127 : 64 127 : 26 playⓘ Hundred-twenty-seventh harmonic[5] 127

1200.00

C′ 2 : 1 2 : 1 playⓘ Octave,[3][11] perfect eighth or diapason[4] 1, 12 3 M S

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