List of English interval names. 1/1 unison, perfect prime 2/1 octave 3/2 perfect fifth 4/3 perfect fourth 5/3 major sixth, BP sixth 5/4 major third 6/5 minor third 7/3 minimal tenth, BP tenth 7/4 harmonic seventh 7/5 septimal or Huygens' tritone, BP fourth 7/6 septimal minor third 8/5 minor sixth 8/7 septimal whole tone 9/4 major ninth 9/5 just minor seventh, BP seventh 9/7 septimal major third, BP third 9/8 major whole tone 10/7 Euler's tritone 10/9 minor whole tone 11/5 neutral ninth 11/6 undecimal neutral seventh, 21/4-tone 11/7 undecimal augmented fifth 11/8 undecimal semi-augmented fourth 11/9 undecimal neutral third 11/10 Ptolemy's second, 4/5-tone 12/7 septimal major sixth 12/11 undecimal neutral second, 3/4-tone 13/7 16/3-tone 13/8 tridecimal neutral sixth 13/9 tridecimal diminished fifth 13/10 tridecimal semi-diminished fourth 13/11 tridecimal minor third 13/12 tridecimal 2/3-tone 14/9 septimal minor sixth 14/11 undecimal diminished fourth or major third 14/13 2/3-tone 15/7 septimal minor ninth, BP ninth 15/8 classic major seventh 15/11 undecimal augmented fourth 15/13 tridecimal 5/4-tone 15/14 major diatonic semitone 16/7 septimal major ninth 16/9 Pythagorean minor seventh 16/11 undecimal semi-diminished fifth 16/13 tridecimal neutral third 16/15 minor diatonic semitone 17/8 septendecimal minor ninth 17/9 septendecimal major seventh 17/10 septendecimal diminished seventh 17/12 2nd septendecimal tritone 17/14 supraminor third 17/15 septendecimal whole tone 17/16 17th harmonic 18/11 undecimal neutral sixth 18/13 tridecimal augmented fourth 18/17 Arabic lute index finger 19/10 undevicesimal major seventh 19/12 undevicesimal minor sixth 19/15 undevicesimal ditone 19/16 19th harmonic 19/17 quasi-meantone 19/18 undevicesimal semitone 20/9 small ninth 20/11 large minor seventh 20/13 tridecimal semi-augmented fifth 20/17 septendecimal augmented second 20/19 small undevicesimal semitone 21/11 undecimal major seventh 21/16 narrow fourth 21/17 submajor third 21/20 minor semitone 22/13 tridecimal major sixth 22/15 undecimal diminished fifth 22/19 Godzilla third 22/21 undecimal minor semitone 23/12 vicesimotertial major seventh 23/16 23rd harmonic 23/18 vicesimotertial major third 24/13 tridecimal neutral seventh 24/17 1st septendecimal tritone 24/19 smaller undevicesimal major third 24/23 vicesimotertial minor semitone 25/9 classic augmented eleventh, BP twelfth 25/12 classic augmented octave 25/14 middle minor seventh 25/16 classic augmented fifth 25/18 classic augmented fourth 25/21 BP second, quasi-equal minor third 25/22 undecimal acute whole tone 25/24 classic chromatic semitone, minor chroma 26/15 tridecimal semi-augmented sixth 26/25 tridecimal 1/3-tone 27/14 septimal major seventh 27/16 Pythagorean major sixth 27/17 septendecimal minor sixth 27/20 acute fourth 27/22 neutral third, Zalzal wosta of al-Farabi 27/23 vicesimotertial minor third 27/25 large limma, BP small semitone, Zarlino semitone 27/26 tridecimal comma 28/15 grave major seventh 28/17 submajor sixth 28/19 Hendrix fifth 28/25 middle second 28/27 Archytas' 1/3-tone 29/16 29th harmonic 30/17 septendecimal minor seventh 30/19 smaller undevicesimal minor sixth 31/16 31st harmonic 31/30 31st-partial chroma 32/15 minor ninth 32/17 17th subharmonic 32/19 19th subharmonic 32/21 wide fifth 32/23 23rd subharmonic 32/25 classic diminished fourth 32/27 Pythagorean minor third 32/29 29th subharmonic 32/31 Greek enharmonic 1/4-tone 33/20 undecimal submajor sixth 33/25 2 pentatones 33/26 tridecimal major third 33/28 undecimal minor third 33/32 undecimal comma, al-Farabi's 1/4-tone 34/19 quasi-mean seventh 34/21 supraminor sixth 34/27 septendecimal major third 35/18 septimal semi-diminished octave 35/24 septimal semi-diminished fifth 35/27 septimal semi-diminished fourth, 9/4-tone 35/32 septimal neutral second 35/34 septendecimal 1/4-tone 36/19 smaller undevicesimal major seventh 36/25 classic diminished fifth 36/35 septimal diesis, 1/4-tone 37/32 37th harmonic 39/32 39th harmonic, Zalzal wosta of Ibn Sina 40/21 acute major seventh 40/27 grave fifth 40/33 undecimal supraminor third 40/39 tridecimal minor diesis 42/25 quasi-equal major sixth 44/25 undecimal grave minor seventh 44/27 neutral sixth 45/28 septimale wide minor sixth 45/32 diatonic tritone 45/44 1/5-tone 46/45 23rd-partial chroma 48/25 classic diminished octave 48/35 septimal semi-augmented fourth 49/25 BP eighth 49/30 larger approximation to neutral sixth 49/36 Arabic lute acute fourth 49/40 larger approximation to neutral third 49/45 BP minor semitone 49/44 undecimal minor whole tone 49/48 slendro diesis, septimal 1/6-tone 50/27 grave major seventh 50/33 3 pentatones 50/49 Erlich's decatonic comma, tritonic diesis 51/40 septendecimal diminished fourth 51/50 17th-partial chroma 52/33 tridecimal minor sixth 54/35 septimal semi-augmented fifth 54/49 Zalzal's mujannab 55/36 undecimal semi-augmented fifth 55/48 undecimal semi-augmented whole tone 55/49 quasi-equal major second 55/54 telepathma 56/45 septimal narrow major third 56/55 undecimal diesis, konbini comma 57/32 undevicesimal minor seventh 57/56 Hendrix comma 60/49 smaller approximation to neutral third 63/25 quasi-equal major tenth, BP eleventh 63/32 octave - septimal comma 63/34 submajor seventh 63/40 narrow minor sixth 63/50 quasi-equal major third 64/33 33rd subharmonic 64/35 septimal neutral seventh 64/37 37th subharmonic 64/39 39th subharmonic 64/45 2nd tritone 64/49 2 septatones or septatonic major third 64/63 septimal comma, Archytas' comma 65/64 13th-partial chroma 66/65 Winmeanma 68/35 23/4-tone 68/63 supraminor second 68/65 Valentine semitone 72/49 Arabic lute grave fifth 72/55 undecimal semi-diminished fourth 72/59 Ibn Sina's neutral third 74/73 approximation to Pythagorean comma 75/49 BP fifth 75/56 marvelous fourth 75/64 classic augmented second 77/64 Keemun minor third 77/72 undecimal secor 77/76 approximation to 53-tone comma 78/71 porcupine neutral second 78/77 tridecimal minor third comma 80/49 smaller approximation to neutral sixth 80/63 wide major third 81/44 2nd undecimal neutral seventh 81/50 acute minor sixth 81/64 Pythagorean major third 81/68 Persian wosta 81/70 Al-Hwarizmi's lute middle finger 81/80 syntonic comma, Didymus comma 85/72 septendecimal minor third 88/49 undecimal minor seventh 88/81 2nd undecimal neutral second 89/84 quasi-equal semitone 91/59 15/4-tone 91/90 medium tridecimal comma, superleap 96/95 19th-partial chroma 98/55 quasi-equal minor seventh 99/70 2nd quasi-equal tritone 99/98 small undecimal comma 100/63 quasi-equal minor sixth 100/81 grave major third 100/99 Ptolemy's comma 105/64 septimal neutral sixth 105/104 small tridecimal comma 112/75 marvelous fifth 112/99 undecimal major second 117/88 tridecimal gentle fourth 121/64 Alpharabian major seventh 121/120 undecimal seconds comma, biyatisma 125/64 classic augmented seventh, octave - minor diesis 125/72 classic augmented sixth 125/96 classic augmented third 125/108 semi-augmented whole tone 125/112 classic augmented semitone 126/125 septimal semicomma, Starling comma 128/75 diminished seventh 128/81 Pythagorean minor sixth 128/105 septimal neutral third 128/121 undecimal semitone 128/125 minor diesis, diesis 135/112 septimal wide minor third 135/128 major chroma, major limma 140/99 quasi-equal tritone 144/125 classic diminished third 144/143 Grossma 145/144 29th-partial chroma 153/125 7/4-tone 153/152 Ganassi's comma 160/81 octave - syntonic comma 160/107 Milliet de Chales 1/4-comma fifth 161/93 19/4-tone 162/149 Persian neutral second 168/89 quasi-equal major seventh 169/162 tridecimal tritonic third tone 169/168 Schulter's comma 176/175 valinorsma 192/125 classic diminished sixth 192/175 septimal 4/5-tone 196/195 mynucuma 210/209 spleen comma 216/125 semi-augmented sixth 224/135 narrow septimal major sixth 225/128 augmented sixth 225/224 septimal kleisma 231/200 5/4-tone 241/221 Meshaqah's 3/4-tone 243/125 octave - maximal diesis 243/128 Pythagorean major seventh 243/160 acute fifth 243/200 acute minor third 243/224 Archytas' 2/3-tone 243/242 neutral third comma, rastma 245/242 Nautilus comma 245/243 minor BP diesis, Sensamagic comma 246/239 Meshaqah's 1/4-tone 248/243 tricesoprimal comma 250/153 17/4-tone 250/243 maximal diesis, Porcupine comma 256/135 octave - major chroma 256/225 Neapolitan diminished third 256/243 limma, Pythagorean minor second 256/245 septimal minor semitone 256/255 septendecimal kleisma 261/256 vicesimononal comma 270/161 Kirnberger's sixth 272/243 Persian whole tone 273/256 Ibn Sina's minor second 273/272 Tannisma 275/273 Garibert comma 289/288 septendecimal minor second comma 320/243 grave fourth 321/320 Milliet de Chales 1/4-comma 325/324 marveltwin 351/350 ratwolf comma 352/343 supracomma 352/351 minthma 361/360 Dudon comma 364/363 gentle comma 375/256 double augmented fourth 375/343 BP major semitone, minor BP chroma 385/384 undecimal kleisma, Keemun comma 400/243 grave major sixth 405/256 wide augmented fifth 405/392 greenwoodma 441/440 Werckmeister's undecimal septenarian schisma 512/343 3 septatones or septatonic fifth 512/375 double diminished fifth 512/405 narrow diminished fourth 512/507 tridecimal neutral third comma 513/512 undevicesimal comma, Boethius' comma 525/512 Avicenna enharmonic diesis 540/539 Swets' comma 561/560 Tsaharuk comma 621/620 owowhatsthisma 625/324 octave - major diesis 625/512 classic neutral third 625/567 BP great semitone, major BP chroma 640/637 huntma 648/625 major diesis 675/512 wide augmented third 676/675 island comma 686/675 senga 687/500 11/4-tone 715/714 septendecimal bridge comma 729/400 acute minor seventh 729/512 Pythagorean tritone 729/640 acute major second 729/704 undecimal major diesis 729/728 squbema 736/729 vicesimotertial comma 749/500 ancient Chinese quasi-equal fifth 750/749 ancient Chinese tempering 800/729 grave whole tone 847/845 Cuthbert comma 875/864 keema 896/891 undecimal semicomma, pentacircle 936/935 ainos comma 1001/1000 fairytale comma 1024/675 narrow diminished sixth 1024/729 Pythagorean diminished fifth 1029/1000 keega 1029/1024 gamelan residue 1053/1024 tridecimal major diesis 1125/1024 double augmented prime 1188/1183 kestrel comma 1215/1024 wide augmented second 1216/1215 Eratosthenes' comma 1225/1224 noema 1232/1215 sensmus 1280/729 grave minor seventh 1288/1287 triaphonisma 1331/1323 aphrowe 1344/1331 hemimin 1375/1372 moctdel 1445/1444 quasi-meantone comma 1575/1573 Nicola 1716/1715 lummic comma 1728/1715 Orwell comma 1729/1728 Ramajunanisma 1732/1731 approximation to 1 cent 1875/1024 double augmented sixth 2025/1024 2 tritones 2048/1125 double diminished octave 2048/1215 narrow diminished seventh 2048/1875 double diminished third 2048/2025 diaschisma 2057/2048 Blume comma 2058/2057 xenisma 2080/2079 ibnsinma 2187/1280 acute major sixth 2187/2000 Gorgo limma 2187/2048 apotome 2187/2176 septendecimal comma 2192/2187 Fine Structure comma 2200/2197 Parizek comma, petrma 2401/2400 Breedsma 2430/2401 nuwell comma 2432/2431 Blumeyer comma 2560/2187 grave minor third 3025/3024 Lehmerisma 3125/2916 quasi-equal 10-tone semitone 3125/3072 small diesis, magic comma 3125/3087 major BP diesis, gariboh comma 3136/3125 middle second comma 3375/2048 double augmented fifth 3388/3375 myhemiwell 3645/2048 wide augmented sixth 4000/3969 small septimal comma 4000/3993 undecimal schisma 4096/2187 Pythagorean diminished octave 4096/2401 4 septatones or septatonic major sixth 4096/3375 double diminished fourth 4096/3645 narrow diminished third 4096/3993 Alpharabian paralimma 4096/4095 tridecimal schisma, Sagittal schismina 4131/4096 Hunt flat 2 comma 4225/4224 leprechaun comma 4375/4374 ragisma 4608/4235 Arabic neutral second 5120/5103 Beta 5, Garibaldi comma 5625/4096 double augmented third 5632/5625 vishdel 6144/3125 octave - small diesis 6144/6125 porwell comma 6561/4096 Pythagorean augmented fifth 6561/5120 acute major third 6561/6125 BP major link 6561/6250 ripple 6561/6400 Mathieu superdiesis 6655/6561 Triple BP comma 6656/6655 jacobin comma 8019/8000 Catakleismic comma 8192/5625 double diminished sixth 8192/6561 Pythagorean diminished fourth 8192/8019 undecimal minor diesis 9801/9800 kalisma, Gauss' comma 10125/8192 double augmented second 10240/6561 grave minor sixth 10648/10647 harmonisma 10935/8192 fourth + schisma, 5-limit approximation to ET fourth 10976/10935 hemimage 10985/10976 cantonisma 12376/12375 flashma 14400/14399 sparkisma 14641/14580 semicanousma 15625/15309 great BP diesis 15625/15552 kleisma, semicomma majeur 16384/10125 double diminished seventh 16384/10935 fifth - schisma, 5-limit approximation to ET fifth 16807/16384 cloudy 16875/16384 double augmentation diesis, Negri comma 16875/16807 small BP diesis, mirkwai comma 17496/16807 septimal major diesis 18225/16807 minimal BP chroma 19657/19656 greater harmonisma 19683/10000 octave - minimal diesis 19683/10240 acute major seventh 19683/16384 Pythagorean augmented second 19683/19208 Laquadru comma 19683/19600 cataharry comma 20000/19683 minimal diesis 20480/19683 grave minor second 21875/19683 maximal BP chroma 23232/23231 lesser harmonisma 24576/24565 mavka comma 26411/26244 mechanism comma 28672/28431 Secorian 32768/16875 octave - double augmentation diesis 32768/19683 Pythagorean diminished seventh 32768/16807 5 septatones or septatonic diminished octave 32805/32768 schisma 33075/32768 mirwomo comma 43923/43904 hemigail 48013/48000 undevicesimal schisma 50421/50000 trimyna 52973/50000 Mersenne's quasi-equal semitone 59049/32768 Pythagorean augmented sixth 59049/57344 Harrison's comma 64827/64000 Squalentine 65536/32805 octave - schisma 65536/59049 Pythagorean diminished third 65536/64827 Saquadru comma 65536/65219 orgonisma 65625/65536 horwell comma 78125/73728 Woolhouse semitone 78732/78125 medium semicomma, Sensi comma 83349/78125 BP minor link 100000/99873 Fine Structure schisma 118098/117649 stearnsma 123201/123200 chalmersia 131072/130321 Hunt 19-cycle comma 131769/131072 Alpharabian comma 147456/78125 Woolhouse major seventh 151263/151250 odiheim 160083/160000 bilozogugu 177147/131072 Pythagorean augmented third 177147/175000 secanticornisma 177147/175616 Latriru comma 179200/177147 tolerma 194481/194480 supraminor scintillisma 234375/234256 sesdecal 235298/234375 triwellisma 250047/250000 Landscape comma 262144/177147 Pythagorean diminished sixth 262144/253125 Passion comma 264627/262144 Betarabian comma 321489/320000 varunisma 390625/196608 octave - Würschmidt's comma 390625/373248 doublewide 390625/388962 dimcomp comma 393216/390625 Würschmidt's comma 413343/390625 BP small link 420175/419904 wizma 458752/455625 mistisma 531441/262144 Pythagorean augmented seventh 531441/500000 wronecki 531441/524288 Pythagorean comma, ditonic comma 537824/531441 Saquinzo comma 589824/588245 hewuermera 823543/819200 quince 823543/820125 complementary BP diesis 839808/823543 Sepru comma 1048576/531441 Pythagorean diminished ninth 1594323/1048576 Pythagorean double augmented fourth 1594323/1562500 Unicorn comma 1600000/1594323 Amity comma, kleisma - schisma 1638400/1594323 Immunity comma 1771561/1771470 parimo 1990656/1953125 Valentine comma 2097152/1594323 Pythagorean double diminished fifth 2097152/2083725 bronzisma 2097152/2093663 bean 2100875/2097152 rainy comma 2109375/2097152 semicomma, Fokker's comma 3294225/3294172 ultimo 4782969/4194304 Pythagorean double augmented prime 4802000/4782969 Canou comma 5000000/4782969 sevond 8388608/4782969 Pythagorean double diminished octave 9765625/9565938 Fifives comma 10077696/9765625 mynic 14348907/8388608 Pythagorean double augmented fifth 16777216/14348907 Pythagorean double diminished fourth 29360128/29296875 Freivald comma 33554432/33480783 Beta 2, septimal schisma 34171875/33554432 Ampersand's comma 43046721/33554432 Pythagorean double augmented second 43046721/41943040 Lalagu comma 48828125/47775744 Sycamore comma 51018336/48828125 nusecond 67108864/43046721 Pythagorean double diminished seventh 67108864/66430125 Misty comma, diaschisma - schisma 78125000/78121827 euzenius 129140163/67108864 Pythagorean double augmented sixth 129140163/128000000 graviton, gravity comma 131072000/129140163 roda 134217728/119574225 whole tone - 2 schismas, 5-limit approximation to ET whole tone 134217728/129140163 Pythagorean double diminished third 134217728/133984375 vorwell comma 201768035/201326592 wadisma 387420489/268435456 Pythagorean double augmented third 390625000/387420489 quartonic comma 536870912/387420489 Pythagorean double diminished sixth 645700815/645657712 starscape 854296875/843308032 Blackjack comma 1162261467/536870912 Pythagorean double augmented seventh 1162261467/1073741824 Pythagorean-19 comma 1220703125/1162261467 Trithagorean comma 1220703125/1207959552 ditonma 1224440064/1220703125 parakleisma 6115295232/6103515625 Vishnu comma 34359738368/31381059609 Pythagorean-22 comma 274877906944/274658203125 semithirds comma 7629394531250/7625597484987 ennealimmal comma 19073486328125/19042491875328 '19-tone' comma 450359962737049600/450283905890997363 monzisma 36893488147419103232/36472996377170786403 '41-tone' comma 19383245667680019896796723/19342813113834066795298816 Mercator's comma
"BP" stands for Bohlen-Pierce, see the Bohlen-Pierce site.
For this compilation various sources were used such as Helmholtz' On the Sensations of Tone and Fokker's Rekenkundige bespiegeling der muziek.
A consistent system of nomenclature is described in Dave Keenan: A note on the naming of musical intervals.
Compiled by Manuel Op de Coul.