Small comma: Difference between revisions

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VisualWikitext
TallKite (talk | contribs)
autopatrolled, Sysops
4,192 edits
added more color names
TallKite (talk | contribs)
autopatrolled, Sysops
4,192 edits
added 17-limit and 19-limit commas, added color names
Line 185: Line 185:
| 92.179
| 92.179
|-
|-
| ripple
| ripple, quintgu 2nd
|g<sup>5</sup>2
|g<sup>5</sup>2
| 6561 / 6250
| 6561 / 6250
Line 215: Line 215:
| 74.580
| 74.580
|-
|-
| chromatic semitone
| chromatic semitone, yoyo semitone
|yy1
|yy1
| [[25/24|25 / 24]]
| [[25/24|25 / 24]]
Line 227: Line 227:
| 68.719
| 68.719
|-
|-
| major diesis, diminished comma
| major diesis, diminished comma, quintgu 2nd
|g<sup>4</sup>2
|g<sup>4</sup>2
| [[648/625|648 / 625]]
| [[648/625|648 / 625]]
Line 233: Line 233:
| 62.565
| 62.565
|-
|-
| passion
| passion, small quintgu 3rd
|sg<sup>5</sup>3
|sg<sup>5</sup>3
| 262144 / 253125
| 262144 / 253125
Line 263: Line 263:
| 51.120
| 51.120
|-
|-
| maximal diesis, porcupine comma
| maximal diesis, porcupine / triple-yo comma
|y<sup>3</sup>1
|y<sup>3</sup>1
| [[250/243|250 / 243]]
| [[250/243|250 / 243]]
Line 269: Line 269:
| 49.166
| 49.166
|-
|-
| immunity
| immunity, yoyo comma
|ssyy2
|ssyy2
| 1638400 / 1594323
| 1638400 / 1594323
Line 275: Line 275:
| 47.212
| 47.212
|-
|-
| diesis, augmented comma
| diesis, augmented comma, triple-gu comma
|g<sup>3</sup>2
|g<sup>3</sup>2
| [[128/125|128 / 125]]
| [[128/125|128 / 125]]
Line 317: Line 317:
| 31.567
| 31.567
|-
|-
| small diesis, [[magic comma]]
| small diesis, [[magic comma]], quintyo comma
|Ly<sup>5</sup>-2
|Ly<sup>5</sup>-2
| 3125 / 3072
| 3125 / 3072
Line 323: Line 323:
| 29.614
| 29.614
|-
|-
| minimal diesis, [[tetracot comma]]
| minimal diesis, [[tetracot comma]], quadyo comma
|sy<sup>4</sup>1
|sy<sup>4</sup>1
| 20000 / 19683
| 20000 / 19683
Line 341: Line 341:
| 22.368
| 22.368
|-
|-
| syntonic / Didymos / meantone comma
| syntonic / Didymos / meantone / gu comma
|g1
|g1
| [[81/80|81 / 80]]
| [[81/80|81 / 80]]
Line 353: Line 353:
| 20.937
| 20.937
|-
|-
| [[diaschisma]]
| [[diaschisma]], gugu comma
|sgg2
|sgg2
| 2048 / 2025
| 2048 / 2025
Line 413: Line 413:
| 9.4916
| 9.4916
|-
|-
| [[kleisma]], semicomma majeur
| [[kleisma]], semicomma majeur, sixfold yo comma
|y<sup>6</sup>-2
|y<sup>6</sup>-2
| 15625 / 15552
| 15625 / 15552
Line 573: Line 573:
| 82.024
| 82.024
|-
|-
| 5-21-comma
| 5-21-comma, quintru comma
|sr<sup>5</sup>-2
|sr<sup>5</sup>-2
| 4194304 / 4084101
| 4194304 / 4084101
Line 657: Line 657:
| 50.724
| 50.724
|-
|-
| keega
| keega, triple-zogu comma
|z<sup>3</sup>g<sup>3</sup>3
|z<sup>3</sup>g<sup>3</sup>3
| 1029 / 1000
| 1029 / 1000
Line 663: Line 663:
| 49.492
| 49.492
|-
|-
| septimal quarter tone
| septimal quarter tone, rugu comma
|rg1
|rg1
| [[36/35|36 / 35]]
| [[36/35|36 / 35]]
Line 675: Line 675:
| 19.260
| 19.260
|-
|-
| cloudy
| cloudy, quintzo comma
|Lz<sup>5</sup>3
|Lz<sup>5</sup>3
| 16807 / 16384
| 16807 / 16384
Line 681: Line 681:
| 44.130
| 44.130
|-
|-
| Avicenna, Avicenna's enharmonic diesis
| Avicenna, Avicenna's enharmonic diesis, zoyoyo comma
|Lzyy1
|Lzyy1
| 525 / 512
| 525 / 512
Line 687: Line 687:
| 43.408
| 43.408
|-
|-
| slendro diesis
| slendro diesis, zozo comma
|zz2
|zz2
| [[49/48|49 / 48]]
| [[49/48|49 / 48]]
Line 705: Line 705:
| 10.829
| 10.829
|-
|-
| tritonic diesis, jubilisma
| tritonic diesis, jubilisma, double-ruyo comma
|rryy-2
|rryy-2
| [[50/49|50 / 49]]
| [[50/49|50 / 49]]
Line 712: Line 712:
|-
|-
| eric
| eric
|
|r<sup>7</sup>-4
| 839808 / 823543
| 839808 / 823543
| {{Monzo| 7 8 0 -7 }}
| {{Monzo| 7 8 0 -7 }}
| 33.859
| 33.859
|-
|-
| senga
| senga, triple-zo gugu comma
|z<sup>3</sup>gg3
|z<sup>3</sup>gg3
| 686 / 675
| 686 / 675
Line 723: Line 723:
| 27.985
| 27.985
|-
|-
| septimal comma, Archytas' comma, Leipziger Komma
| septimal / ru / Archytas' comma, Leipziger Komma
|r1
|r1
| [[64/63|64 / 63]]
| [[64/63|64 / 63]]
Line 741: Line 741:
| 22.227
| 22.227
|-
|-
| keema
| keema, zo-triple-yo comma
|zy<sup>3</sup>1
|zy<sup>3</sup>1
| 875 / 864
| 875 / 864
Line 748: Line 748:
|-
|-
| gariboh
| gariboh
|
|r<sup>3</sup>y<sup>5</sup>-3
| 3125 / 3087
| 3125 / 3087
| {{Monzo| 0 -2 5 -3 }}
| {{Monzo| 0 -2 5 -3 }}
Line 754: Line 754:
|-
|-
| nuwell
| nuwell
|
|r<sup>4</sup>y-3
| 2430 / 2401
| 2430 / 2401
| {{Monzo| 1 5 1 -4 }}
| {{Monzo| 1 5 1 -4 }}
Line 760: Line 760:
|-
|-
| tolerma
| tolerma
|
|szyy2
| 179200 / 177147
| 179200 / 177147
| {{Monzo| 10 -11 2 1 }}
| {{Monzo| 10 -11 2 1 }}
| 19.948
| 19.948
|-
|-
| mirwomo
| mirwomo, double-zoyo comma
|
|Lzzyy1
| 33075 / 32768
| 33075 / 32768
| {{Monzo| -15 3 2 2 }}
| {{Monzo| -15 3 2 2 }}
| 16.144
| 16.144
|-
|-
| trimyna
| trimyna, quintzogu comma
|
|z<sup>5</sup>g<sup>5</sup>4
| 50421 / 50000
| 50421 / 50000
| {{Monzo| -4 1 -5 5 }}
| {{Monzo| -4 1 -5 5 }}
| 14.516
| 14.516
|-
|-
| sensamagic
| sensamagic, zozoyo comma
|zzy2
|zzy2
| 245 / 243
| 245 / 243
Line 783: Line 783:
| 14.191
| 14.191
|-
|-
| septimal semicomma, starling comma
| septimal semicomma, starling / zogugugu comma
|zggg2
|zg<sup>3</sup>2
| [[126/125|126 / 125]]
| [[126/125|126 / 125]]
| {{Monzo| 1 2 -3 1 }}
| {{Monzo| 1 2 -3 1 }}
| 13.795
| 13.795
|-
|-
| octagar
| octagar, ruru-triple-yo comma
|rry<sup>3</sup>-2
|rry<sup>3</sup>-2
| 4000 / 3969
| 4000 / 3969
Line 795: Line 795:
| 13.469
| 13.469
|-
|-
| orwellisma, orwell comma
| orwellisma, orwell comma, triple-ru gu comma
|r<sup>3</sup>g-2
|r<sup>3</sup>g-2
| 1728 / 1715
| 1728 / 1715
Line 813: Line 813:
| 8.4327
| 8.4327
|-
|-
| varunisma
| varunisma, zozoquadgu comma
|
|Lzzg<sup>4</sup>2
| 321489 / 320000
| 321489 / 320000
| {{Monzo| -9 8 -4 2 }}
| {{Monzo| -9 8 -4 2 }}
| 8.0370
| 8.0370
|-
|-
| septimal kleisma, marvel comma
| septimal kleisma, marvel comma, ruyoyo comma
|ryy-2
|ryy-2
| [[225/224|225 / 224]]
| [[225/224|225 / 224]]
Line 844: Line 844:
|-
|-
| stearnsma
| stearnsma
|
|Lr<sup>6</sup>-4
| 118098 / 117649
| 118098 / 117649
| {{Monzo| 1 10 0 -6 }}
| {{Monzo| 1 10 0 -6 }}
Line 850: Line 850:
|-
|-
| hemimage
| hemimage
|
|sz<sup>3</sup>g3
| 10976 / 10935
| 10976 / 10935
| {{Monzo| 5 -7 -1 3 }}
| {{Monzo| 5 -7 -1 3 }}
Line 856: Line 856:
|-
|-
| hemimean
| hemimean
|
|zzg<sup>5</sup>3
| 3136 / 3125
| 3136 / 3125
| {{Monzo| 6 0 -5 2 }}
| {{Monzo| 6 0 -5 2 }}
| 6.0832
| 6.0832
|-
|-
| hemifamity
| hemifamity, small ruyo comma
|sry1
|sry1
| 5120 / 5103
| 5120 / 5103
Line 874: Line 874:
|-
|-
| porwell
| porwell
|
|srrg<sup>3</sup>1
| 6144 / 6125
| 6144 / 6125
| {{Monzo| 11 1 -3 -2 }}
| {{Monzo| 11 1 -3 -2 }}
Line 880: Line 880:
|-
|-
| garischisma
| garischisma
|
|ssr2
| 33554432 / 33480783
| 33554432 / 33480783
| {{Monzo| 25 -14 0 -1 }}
| {{Monzo| 25 -14 0 -1 }}
Line 903: Line 903:
| 11.982
| 11.982
|-
|-
| bapbo
| bapbo, rurugu comma
|rrg1
|rrg1
| 256 / 245
| 256 / 245
Line 918: Line 918:
! Monzo
! Monzo
! Cents
! Cents
|-
| 11-cycle major seventh prote, 35-11-comma
|
|
| {{Monzo| -121 0 0 0 35 }}
| 96.128
|-
|-
| 11-cycle chroma, 11-11-comma
| 11-cycle chroma, 11-11-comma
Line 925: Line 931:
| 64.497
| 64.497
|-
|-
| 11-cycle major seventh prote, 35-11-comma
|Large lu unison
|
|L1u1
|  
|729/704
| {{Monzo| -121 0 0 0 35 }}
|{{Monzo| -38 0 0 0 11 }}
| 96.128
|60.412
|-
|-
| Hunt 11-cycle comma
| Hunt 11-cycle comma
Line 937: Line 943:
| 31.631
| 31.631
|-
|-
| Hunt flat 5 comma
| Hunt flat 5 comma, lu comma
|
|s1u2
| 8192 / 8019
| 8192 / 8019
| {{Monzo| 13 -6 0 0 -1 }}
| {{Monzo| 13 -6 0 0 -1 }}
| 36.952
| 36.952
|-
|-
| sterno
| sterno, lorururu comma
|1or<sup>3</sup>-2
|1or<sup>3</sup>-2
| 352 / 343
| 352 / 343
| {{Monzo| 5 0 0 -3 1 }}
| {{Monzo| 5 0 0 -3 1 }}
| 44.840
| 44.840
|-
|luyo comma
|1uy1
|45 / 44
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|38.906
|-
|-
| the Igs boson, 13-11-comma
| the Igs boson, 13-11-comma
Line 955: Line 967:
| 32.867
| 32.867
|-
|-
| telepathma
|luzogu comma
|1uzg2
|56 / 55
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|31.194
|-
| telepathma, loyo comma
|1oy1
|1oy1
| 55 / 54
| 55 / 54
Line 962: Line 980:
|-
|-
| thuja comma
| thuja comma
|
|s1u<sup>5</sup>y2
| 163840 / 161051
| 163840 / 161051
| {{Monzo| 15 0 1 0 -5 }}
| {{Monzo| 15 0 1 0 -5 }}
Line 985: Line 1,003:
| 21.330
| 21.330
|-
|-
| [[mothwellsmic triad|mothwellsma]]
| [[mothwellsmic triad|mothwellsma]], loruru comma
|1orr-2
|1orr-2
| 99 / 98
| 99 / 98
Line 991: Line 1,009:
| 17.576
| 17.576
|-
|-
| [[ptolemismic triad|ptolemisma]]
| [[ptolemismic triad|ptolemisma]], luyoyo comma
|1uyy1
|1uyy1
| [[100/99|100 / 99]]
| [[100/99|100 / 99]]
Line 997: Line 1,015:
| 17.399
| 17.399
|-
|-
| hemimin
| hemimin, lululuzo comma
|1u<sup>3</sup>z2
|1u<sup>3</sup>z2
| 1344 / 1331
| 1344 / 1331
Line 1,003: Line 1,021:
| 16.827
| 16.827
|-
|-
| biyatisma
| biyatisma, lologu comma
|1oog1
|1oog1
| 121 / 120
| 121 / 120
Line 1,010: Line 1,028:
|-
|-
| aphrowe
| aphrowe
|
|1o<sup>3</sup>rr-2
| 1331 / 1323
| 1331 / 1323
| {{Monzo| 0 -3 0 -2 3 }}
| {{Monzo| 0 -3 0 -2 3 }}
| 10.437
| 10.437
|-
|-
| [[valinorsmic chords|valinorsma]]
| [[valinorsmic chords|valinorsma]], lorugugu comma
|
|1orgg1
| 176 / 175
| 176 / 175
| {{Monzo| 4 0 -2 -1 1 }}
| {{Monzo| 4 0 -2 -1 1 }}
| 9.8646
| 9.8646
|-
|-
| [[pentacircle comma|pentacircle]]
| [[pentacircle comma|pentacircle]], luzo comma
|s1uz2
|s1uz2
| 896 / 891
| 896 / 891
Line 1,028: Line 1,046:
|-
|-
| orgonisma
| orgonisma
|
|s1u<sup>3</sup>rr1
| 65536 / 65219
| 65536 / 65219
| {{Monzo| 16 0 0 -2 -3 }}
| {{Monzo| 16 0 0 -2 -3 }}
| 8.3944
| 8.3944
|-
|-
| [[rastmic chords|rastma]]
| [[rastmic chords|rastma]], lulu comma
|1uu1
|1uu1
| 243 / 242
| 243 / 242
Line 1,040: Line 1,058:
|-
|-
| myhemiwell
| myhemiwell
|
|1oozg<sup>3</sup>2
| 3388 / 3375
| 3388 / 3375
| {{Monzo| 2 -3 -3 1 2 }}
| {{Monzo| 2 -3 -3 1 2 }}
| 6.6556
| 6.6556
|-
|-
| [[keenanismic chords|keenanisma]]
| [[keenanismic chords|keenanisma]], lozoyo comma
|1ozy1
|1ozy1
| [[385/384|385 / 384]]
| [[385/384|385 / 384]]
Line 1,051: Line 1,069:
| 4.5026
| 4.5026
|-
|-
| [[werckismic chords|werckisma]]
| [[werckismic chords|werckisma]], luzozogu comma
|1uzzg2
|1uzzg2
| 441 / 440
| 441 / 440
Line 1,058: Line 1,076:
|-
|-
| moctdel
| moctdel
|
|1or<sup>3</sup>y<sup>3</sup>-3
| 1375 / 1372
| 1375 / 1372
| {{Monzo| -2 0 3 -3 1 }}
| {{Monzo| -2 0 3 -3 1 }}
Line 1,074: Line 1,092:
|-
|-
| Sinbadma
| Sinbadma
|
|3o1ozg<sup>3</sup>2
| 1001 / 1000
| 1001 / 1000
| {{Monzo| -3 0 -3 1 1 1 }}
| {{Monzo| -3 0 -3 1 1 1 }}
Line 1,096: Line 1,114:
| {{Monzo| -10 4 0 0 0 1 }}
| {{Monzo| -10 4 0 0 0 1 }}
| 48.348
| 48.348
|-
|thuyo comma
|3uy1
|40 / 39
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|43.831
|-
|-
| astburyp
| astburyp
|
|L3o<sup>6</sup>2
| 4826809 / 4718592
| 4826809 / 4718592
| {{Monzo| -19 -2 0 0 0 6 }}
| {{Monzo| -19 -2 0 0 0 6 }}
| 39.255
| 39.255
|-
|-
| wilsorma
| wilsorma, thoyo comma
|3oy1
|3oy1
| 65 / 64
| 65 / 64
Line 1,109: Line 1,133:
| 26.841
| 26.841
|-
|-
| winmeanma
| winmeanma, thulogu comma
|3u1og1
|3u1og1
| 66 / 65
| 66 / 65
Line 1,115: Line 1,139:
| 26.432
| 26.432
|-
|-
| negustma
| negustma, tholuru comma
|3o1ur1
|3o1ur1
| 78 / 77
| 78 / 77
Line 1,121: Line 1,145:
| 22.339
| 22.339
|-
|-
| superleap
| superleap, thozogu comma
|3ozg2
|3ozg2
| 91 / 90
| 91 / 90
Line 1,127: Line 1,151:
| 19.130
| 19.130
|-
|-
| animist
| animist, thuzoyo comma
|3uzy1
|3uzy1
| 105 / 104
| 105 / 104
Line 1,134: Line 1,158:
|-
|-
| secorian
| secorian
|
|s3uz2
| 28672 / 28431
| 28672 / 28431
| {{Monzo| 12 -7 0 1 0 -1 }}
| {{Monzo| 12 -7 0 1 0 -1 }}
Line 1,140: Line 1,164:
|-
|-
| mosaic
| mosaic
|
|L3orr-2
| 3159 / 3136
| 3159 / 3136
| {{Monzo| -6 5 0 -2 0 1}}
| {{Monzo| -6 5 0 -2 0 1}}
Line 1,151: Line 1,175:
| 12.637
| 12.637
|-
|-
| [[grossma]]
| [[grossma]], thulu comma
|3u1u1
|3u1u1
| 144 / 143
| 144 / 143
Line 1,163: Line 1,187:
| 10.274
| 10.274
|-
|-
| catadictma
| catadictma, thologu comma
|3o1og1
|3o1og1
| 1287 / 1280
| 1287 / 1280
Line 1,169: Line 1,193:
| 9.4419
| 9.4419
|-
|-
| [[mynucumic chords|mynucuma]]
| [[mynucumic chords|mynucuma]], thuzozogu comma
|3uzzg2
|3uzzg2
| 196 / 195
| 196 / 195
Line 1,175: Line 1,199:
| 8.8554
| 8.8554
|-
|-
| [[huntmic chords|huntma]]
| [[huntmic chords|huntma]], thururuyo comma
|3urry-2
|3urry-2
| 640 / 637
| 640 / 637
Line 1,181: Line 1,205:
| 8.1342
| 8.1342
|-
|-
| [[threedie]]
| [[threedie]], triple-tho comma
|s3o<sup>3</sup>2
|s3o<sup>3</sup>2
| 2197 / 2187
| 2197 / 2187
Line 1,188: Line 1,212:
|-
|-
| [[kestrel chords|kestrel comma]]
| [[kestrel chords|kestrel comma]]
|
|3uu1or-2
| 1188 / 1183
| 1188 / 1183
| {{Monzo| 2 3 0 -1 1 -2 }}
| {{Monzo| 2 3 0 -1 1 -2 }}
| 7.3017
| 7.3017
|-
|-
| [[marveltwin]]
| [[marveltwin]], thoyoyo comma
|3oyy1
|3oyy1
| 325 / 324
| 325 / 324
Line 1,199: Line 1,223:
| 5.3351
| 5.3351
|-
|-
| [[ratwolf triad|ratwolfsma]]
| [[ratwolf triad|ratwolfsma]], thorugugu comma
|3orgg1
|3orgg1
| 351 / 350
| 351 / 350
Line 1,205: Line 1,229:
| 4.9393
| 4.9393
|-
|-
| [[minthmic chords|minthma]]
| [[minthmic chords|minthma]], thulo comma
|3u1o1
|3u1o1
| 352 / 351
| 352 / 351
Line 1,218: Line 1,242:
|-
|-
| [[cuthbert triad|cuthbert]]
| [[cuthbert triad|cuthbert]]
|
|3uu1oozg1
| 847 / 845
| 847 / 845
| {{Monzo| 0 0 -1 1 2 -2 }}
| {{Monzo| 0 0 -1 1 2 -2 }}
Line 1,263: Line 1,287:
| 3.5672
| 3.5672
|-
|-
| Hunt flat 2 comma
|sogugu comma
|17ogg2
|51 / 50
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|34.283
|-
|sutho comma
|17u3o1
|52 / 51
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|33.617
|-
|soruyo comma
|17ory1
|85 / 84
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|20.488
|-
| Hunt flat 2 comma, so comma
|L17o1
|L17o1
| 4131 / 4096
| 4131 / 4096
Line 1,269: Line 1,311:
| 14.730
| 14.730
|-
|-
| Blume comma
|suruyo comma
|17ury-2
|120 / 119
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|14.487
|-
| Blume comma, sololo comma
|17o1oo1
|17o1oo1
| 2057 / 2048
| 2057 / 2048
Line 1,275: Line 1,323:
| 7.5913
| 7.5913
|-
|-
| Septendecimal integer cents comma
|sugu comma
|17oo2
|17ug1
| 289 / 288
|256 / 255
| {{Monzo| -5 -2 0 0 0 0 2 }}
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
| 6.0008
|6.776
|-
|-
| Tannisma
| Tannisma, suthozo comma
|17u3oz1
|17u3oz1
| 273 / 272
| 273 / 272
| {{Monzo| -4 1 0 1 0 1 -1}}
| {{Monzo| -4 1 0 1 0 1 -1}}
| 6.3532
| 6.3532
|-
| Septendecimal integer cents / soso comma
|17oo2
| 289 / 288
| {{Monzo| -5 -2 0 0 0 0 2 }}
| 6.0008
|}
|}


Line 1,297: Line 1,351:
! Cents
! Cents
|-
|-
| Hunt 19-cycle comma
|nutho comma
|19u3o1
|39 / 38
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|44.970
|-
|noru comma
|19or1
|57 / 56
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|30.642
|-
|nuruyo comma
|19ury-2
|135 / 133
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|25.840
|-
|nogugu comma
|19ogg2
|76 / 75
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|22.931
|-
|nulozo comma
|19u1o1
|77 / 76
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|22.631
|-
|nugu comma
|19ug1
|96 / 95
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|18.128
|-
|noluzo comma
|19o1uz2
|133 / 132
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|13.066
|-
|nuso comma
|19u17o1
|153 / 152
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|11.352
|-
|nosugu comma
|19o17ug1
|171 / 170
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|10.154
|-
| Hunt 19-cycle comma, quadnu comma
|s19u<sup>4</sup>-2
|s19u<sup>4</sup>-2
| 131072 / 130321
| 131072 / 130321
Line 1,303: Line 1,411:
| 9.9479
| 9.9479
|-
|-
| spleen comma
| spleen comma, nuluzoyo comma
|19u1uzy1
|19u1uzy1
| 210 / 209
| 210 / 209
Line 1,309: Line 1,417:
| 8.2637
| 8.2637
|-
|-
| go comma
|nusu comma
|19u17u-2
|324 / 323
|{{Monzo| 1 1 1 1 -1 0 0 -1 }}
|5.352
|-
| go comma, nonogu comma
|19oog2
|19oog2
| 361 / 360
| 361 / 360
| {{Monzo| -3 -2 -1 0 0 0 0 2 }}
| {{Monzo| -3 -2 -1 0 0 0 0 2 }}
| 4.8023
| 4.8023
|-
|ino comma
|L19o1
|513 / 512
|{{Monzo| 17 0 0 0 0 0 0 -4 }}
|3.378
|}
|}


Revision as of 08:21, 21 November 2018

Definition

A comma is a small interval that occurs in just intonation, between two intervals which are close in pitch. Commas are always greater than 1 (0 cents) and not a power such as a square or cube of any other interval, and generally in a low prime limit. The word is often used in reference to regular tempering when the comma is tempered out, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by meantone temperament. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in cents.

For commas over 100 cents in size, see Large commas; and for commas under 3.5 cents in size, see Unnoticeable commas

Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the convention elsewhere on the wiki.

List of commas, by prime limit

3-limit commas

Name(s) Color Name Ratio Monzo Cents
limma, Pythagorean minor second sw2 small wa 2nd 256 / 243 [8 -5⟩ 90.225
Pythagorean comma LLw-2 wa comma 531441 / 524288 [-19 12⟩ 23.460
17-comma ssw3 wa-17 comma 134217728 / 129140163 [27 -17⟩ 66.765
29-comma s4w4 wa-29 comma 70368744177664 / 68630377364883 [46 -29⟩ 43.305
41-comma s6w5 wa-41 comma 36893488147419103232 /
36472996377170786403 		[65 -41⟩ 19.845
Mercator's comma, 53-comma L8w-6 wa-53 comma 19383245667680019896796723 /
19342813113834066795298816 		[-84 53⟩ 3.6150
70-comma s10w8 wa-70 comma [111 -70⟩ 63.150
Pythagorean integer cents comma w-200 wa-200 comma [317 -200⟩ 8.9998

5-limit commas

Name(s) Color Name Ratio Monzo Cents
Twenty-two thirds limma L3y22-6 [-51 0 22⟩ 98.902
sibbolet L4y25-7 [-58 0 25⟩ 57.843
Hunt 5-cycle comma L4y28-8 [-65 0 28⟩ 16.784
acute thirds comma s4g319 [72 0 -31⟩ 24.275
34-5-comma s5g3410 [79 0 -34⟩ 65.334
Schismic thirds chromatic semitone L8y53-14 [-123 0 53⟩ 74.627
59-5-comma s9g5916 [137 0 -59⟩ 7.4909
10-15-comma L3y10-4 [-39 10 10⟩ 82.687
11-15-comma s3g115 [43 -11 -11⟩ 29.044
21-15-comma [-82 21 21⟩ 53.643
32-15-comma [-125 32 32⟩ 24.599
Huntian 15-cycle comma [168 -43 -43⟩ 4.4453
56-syntonic comma [-225 224 -56⟩ 4.3522
53-15-comma [-207 53 53⟩ 78.242
54-15-comma [211 -54 -54⟩ 33.489
76-15-comma [297 -76 -76⟩ 91.578
major chroma, major limma, pelogic comma Ly1 135 / 128 [-7 3 1⟩ 92.179
ripple, quintgu 2nd g52 6561 / 6250 [-1 8 -5⟩ 84.071
doublewide y8-2 390625 / 373248 [-9 -6 8⟩ 78.780
sevond sy71 5000000 / 4782969 [6 -14 7⟩ 76.826
nusecond g113 51018336 / 48828125 [5 13 -11⟩ 75.964
sentinel L3y4-3 8968066875 / 8589934592 [-33 15 4⟩ 74.580
chromatic semitone, yoyo semitone yy1 25 / 24 [-3 -1 2⟩ 70.672
superpyth, grave minor second sy2 20480 / 19683 [12 -9 1⟩ 68.719
major diesis, diminished comma, quintgu 2nd g42 648 / 625 [3 4 -4⟩ 62.565
passion, small quintgu 3rd sg53 262144 / 253125 [18 -4 -5⟩ 60.611
shibboleth y9-2 1953125 / 1889568 [-5 -10 9⟩ 57.273
mynic g103 10077696 / 9765625 [9 9 -10⟩ 54.458
tritonic LLy5-3 553584375 / 536870912 [-29 11 5⟩ 53.074
negri comma, double augmentation diesis Ly4-2 16875 / 16384 [-14 3 4⟩ 51.120
maximal diesis, porcupine / triple-yo comma y31 250 / 243 [1 -5 3⟩ 49.166
immunity, yoyo comma ssyy2 1638400 / 1594323 [16 -13 2⟩ 47.212
diesis, augmented comma, triple-gu comma g32 128 / 125 [7 0 -3⟩ 41.059
wizard LLy12-4 2197265625 / 2147483648 [-31 2 12⟩ 39.675
sycamore Ly11-3 48828125 / 47775744 [-16 -6 11⟩ 37.721
fifive sy10-2 9765625 / 9565938 [-1 -14 10⟩ 35.767
unicorn Lg82 1594323 / 1562500 [-2 13 -8⟩ 34.905
valensixthtone sg93 1990656 / 1953125 [13 5 -9⟩ 32.952
ampersand, Ampersand's comma LLy6-3 34171875 / 33554432 [-25 7 6⟩ 31.567
small diesis, magic comma, quintyo comma Ly5-2 3125 / 3072 [-10 -1 5⟩ 29.614
minimal diesis, tetracot comma, quadyo comma sy41 20000 / 19683 [5 -9 4⟩ 27.660
roda ssy32 131072000 / 129140163 [20 -17 3⟩ 25.706
maja sy17-3 762939453125 / 753145430616 [-3 -23 17⟩ 22.368
syntonic / Didymos / meantone / gu comma g1 81 / 80 [-4 4 -1⟩ 21.506
maquila comma s3g176 562949953421312 / 556182861328125 [49 -6 -17⟩ 20.937
diaschisma, gugu comma sgg2 2048 / 2025 [11 -4 -2⟩ 19.553
ditonma LLy13-4 1220703125 / 1207959552 [-27 -2 13⟩ 18.168
misty comma ssg33 67108864 / 66430125 [26 -12 -3⟩ 17.599
pental comma L3g5-2 847288609443 / 838860800000 [-28 25 -5⟩ 17.306
graviton, gravity comma LLg61 129140163 / 128000000 [-13 17 -6⟩ 15.353
quartonic sy11-2 390625000 / 387420489 [3 -18 11⟩ 14.261
medium semicomma, sensipent comma g72 78732 / 78125 [2 9 -7⟩ 13.399
Würschmidt comma sg83 393216 / 390625 [17 1 -8⟩ 11.445
semicomma, Fokker comma Ly7-3 2109375 / 2097152 [-21 3 7⟩ 10.061
escapade comma ssg94 4294967296 / 4271484375 [32 -7 -9⟩ 9.4916
kleisma, semicomma majeur, sixfold yo comma y6-2 15625 / 15552 [-6 -5 6⟩ 8.1073
qintosec comma s4g105 140737488355328 / 140126044921875 [47 -15 -10⟩ 7.5378
unidecma Lg122 31381059609 / 31250000000 [-7 22 -12⟩ 7.2455
mutt comma L3y21-6 476837158203125 / 474989023199232 [-44 -3 21⟩ 6.7230
amity comma sy51 1600000 / 1594323 [9 -13 5⟩ 6.1536
parakleisma g133 1224440064 / 1220703125 [8 14 -13⟩ 5.2917
gammic comma Ly20-5 95105071448064 / 95367431640625 [-29 -11 20⟩ 4.7693
vulture comma ssy42 10485760000 / 10460353203 [24 -21 4⟩ 4.1998
23-3/5-comma g235 [17 23 -23⟩ 59.750
34-3/5-comma y343 [-25 -34 34⟩ 68.196
53-3/5-comma y537 [-39 -53 53⟩ 71.012

7-limit commas

Name(s) Color Name Ratio Monzo Cents
hexadecatone comma, 16-7-comma [45 0 0 -16⟩ 98.785
21-7-comma [59 0 0 -21⟩ 54.656
Hunt 7-cycle comma [73 0 0 -26⟩ 10.526
German sixth comma [-87 0 0 31⟩ 33.603
large ruru negative 2nd Lrr-2 6561 / 6272 [-7, 8, 0 -2⟩ 77.988
36-7-comma [-101 0 0 36⟩ 77.736
47-7-comma [132 0 0 -47⟩ 65.182
slendro integer cents comma [1123 0 0 -400⟩ 69.637
29-7/5-comma [-14 0 -29 29⟩ 92.854
31-7/5-comma [-15 0 -31 31⟩ 57.878
33-7/5-comma [-16 0 -33 33⟩ 22.902
35-7/5-comma [17 0 35 -35⟩ 12.073
37-7/5-comma [18 0 37 -37⟩ 47.049
39-7/5-comma [19 0 39 -39⟩ 82.024
5-21-comma, quintru comma sr5-2 4194304 / 4084101 [22 -5 0 -5⟩ 46.095
18-21-comma [-79 18 0 18⟩ 74.056
23-21-comma [-101 23 0 23⟩ 27.961
Huntian 21-cycle comma [123 -28 0 -28⟩ 18.135
33-21-comma [145 -33 0 -33⟩ 64.230
8-35-comma LLz8y82 [-41 0 8 8⟩ 41.117
15-35-comma [77 0 -15 -15⟩ 72.906
23-35-comma [118 0 -23 -23⟩ 31.789
31-35-comma [-159 0 31 31⟩ 9.3282
39-35-comma [-200 0 39 39⟩ 50.445
47-35-comma [-241 0 47 47⟩ 91.562
Huntian 35-cycle comma [277 0 -54 -54⟩ 22.461
greenwoodma rry-2 405 / 392 [-3 4 1 -2⟩ 56.482
Harrison's comma Lr-2 59049 / 57344 [-13 10 0 -1⟩ 50.724
keega, triple-zogu comma z3g33 1029 / 1000 [-3 1 -3 3⟩ 49.492
septimal quarter tone, rugu comma rg1 36 / 35 [2 2 -1 -1⟩ 48.770
quarter tone comma [49 50 -25 -25⟩ 19.260
cloudy, quintzo comma Lz53 16807 / 16384 [-14 0 0 5⟩ 44.130
Avicenna, Avicenna's enharmonic diesis, zoyoyo comma Lzyy1 525 / 512 [-9 1 2 1⟩ 43.408
slendro diesis, zozo comma zz2 49 / 48 [-4 -1 0 2⟩ 35.697
slendro 34-comma [-137 -34 0 68⟩ 13.692
34-jubilismic comma [-33 0 -68 68⟩ 10.829
tritonic diesis, jubilisma, double-ruyo comma rryy-2 50 / 49 [1 0 2 -2⟩ 34.976
eric r7-4 839808 / 823543 [7 8 0 -7⟩ 33.859
senga, triple-zo gugu comma z3gg3 686 / 675 [1 -3 -2 3⟩ 27.985
septimal / ru / Archytas' comma, Leipziger Komma r1 64 / 63 [6 -2 0 -1⟩ 27.264
blackjackisma 854296875 / 843308032 [-10 7 8 -7⟩ 22.413
squalentine 64827 / 64000 [-9 3 -3 4⟩ 22.227
keema, zo-triple-yo comma zy31 875 / 864 [-5 -3 3 1⟩ 21.902
gariboh r3y5-3 3125 / 3087 [0 -2 5 -3⟩ 21.181
nuwell r4y-3 2430 / 2401 [1 5 1 -4⟩ 20.785
tolerma szyy2 179200 / 177147 [10 -11 2 1⟩ 19.948
mirwomo, double-zoyo comma Lzzyy1 33075 / 32768 [-15 3 2 2⟩ 16.144
trimyna, quintzogu comma z5g54 50421 / 50000 [-4 1 -5 5⟩ 14.516
sensamagic, zozoyo comma zzy2 245 / 243 [0 -5 1 2⟩ 14.191
septimal semicomma, starling / zogugugu comma zg32 126 / 125 [1 2 -3 1⟩ 13.795
octagar, ruru-triple-yo comma rry3-2 4000 / 3969 [5 -4 3 -2⟩ 13.469
orwellisma, orwell comma, triple-ru gu comma r3g-2 1728 / 1715 [6 3 -1 -3⟩ 13.074
quince 823543 / 819200 [-15 0 -2 7⟩ 9.1539
gamelisma Lz32 1029 / 1024 [-10 1 0 3⟩ 8.4327
varunisma, zozoquadgu comma Lzzg42 321489 / 320000 [-9 8 -4 2⟩ 8.0370
septimal kleisma, marvel comma, ruyoyo comma ryy-2 225 / 224 [-5 2 2 -1⟩ 7.7115
dimcomp 390625 / 388962 [-1 -4 8 -4⟩ 7.3861
cataharry Lrrgg-2 19683 / 19600 [-4 9 -2 -2⟩ 7.3158
mirkwai 16875 / 16807 [0 3 4 -5⟩ 6.9903
stearnsma Lr6-4 118098 / 117649 [1 10 0 -6⟩ 6.5946
hemimage sz3g3 10976 / 10935 [5 -7 -1 3⟩ 6.4790
hemimean zzg53 3136 / 3125 [6 0 -5 2⟩ 6.0832
hemifamity, small ruyo comma sry1 5120 / 5103 [10 -6 1 -1⟩ 5.7578
linus [11 -10 -10 10⟩ 5.5719
porwell srrg31 6144 / 6125 [11 1 -3 -2⟩ 5.3620
garischisma ssr2 33554432 / 33480783 [25 -14 0 -1⟩ 3.8041
wadisma 201768035 / 201326592 [-26 -1 1 9⟩ 3.7919
quasiorwellisma 29360128 / 29296875 [22 -1 -10 1⟩ 3.7338
218edo (stacked 7/4 and 10/9) comma [22 -32 16 -3⟩ 11.982
bapbo, rurugu comma rrg1 256 / 245 [8 0 -1 -2⟩ 76.034

11-limit commas

Name(s) Color Name Ratio Monzo Cents
11-cycle major seventh prote, 35-11-comma [-121 0 0 0 35⟩ 96.128
11-cycle chroma, 11-11-comma [-38 0 0 0 11⟩ 64.497
Large lu unison L1u1 729/704 [-38 0 0 0 11⟩ 60.412
Hunt 11-cycle comma [-83 0 0 0 24⟩ 31.631
Hunt flat 5 comma, lu comma s1u2 8192 / 8019 [13 -6 0 0 -1⟩ 36.952
sterno, lorururu comma 1or3-2 352 / 343 [5 0 0 -3 1⟩ 44.840
luyo comma 1uy1 45 / 44 [17 0 0 0 0 0 0 -4⟩ 38.906
the Igs boson, 13-11-comma [45 0 0 0 -13⟩ 32.867
luzogu comma 1uzg2 56 / 55 [17 0 0 0 0 0 0 -4⟩ 31.194
telepathma, loyo comma 1oy1 55 / 54 [-1 -3 1 0 1⟩ 31.767
thuja comma s1u5y2 163840 / 161051 [15 0 1 0 -5⟩ 29.724
sensmus s1ozg2 1232 / 1215 [4 -5 -1 1 1⟩ 24.055
sevnothrush 1og52 3168 / 3125 [5 2 -5 0 1⟩ 23.659
cassacot 1uuzzy2 245 / 242 [-1 0 1 2 -2⟩ 21.330
mothwellsma, loruru comma 1orr-2 99 / 98 [-1 2 0 -2 1⟩ 17.576
ptolemisma, luyoyo comma 1uyy1 100 / 99 [2 -2 2 0 -1⟩ 17.399
hemimin, lululuzo comma 1u3z2 1344 / 1331 [6 1 0 1 -3⟩ 16.827
biyatisma, lologu comma 1oog1 121 / 120 [-3 -1 -1 0 2⟩ 14.367
aphrowe 1o3rr-2 1331 / 1323 [0 -3 0 -2 3⟩ 10.437
valinorsma, lorugugu comma 1orgg1 176 / 175 [4 0 -2 -1 1⟩ 9.8646
pentacircle, luzo comma s1uz2 896 / 891 [7 -4 0 1 -1⟩ 9.6880
orgonisma s1u3rr1 65536 / 65219 [16 0 0 -2 -3⟩ 8.3944
rastma, lulu comma 1uu1 243 / 242 [-1 5 0 0 -2⟩ 7.1391
myhemiwell 1oozg32 3388 / 3375 [2 -3 -3 1 2⟩ 6.6556
keenanisma, lozoyo comma 1ozy1 385 / 384 [-7 -1 1 1 1⟩ 4.5026
werckisma, luzozogu comma 1uzzg2 441 / 440 [-3 2 -1 2 -1⟩ 3.9302
moctdel 1or3y3-3 1375 / 1372 [-2 0 3 -3 1⟩ 3.7814

13-limit commas

Name(s) Color Name Ratio Monzo Cents
Sinbadma 3o1ozg32 1001 / 1000 [-3 0 -3 1 1 1⟩ 1.7304
Hunt 13-cycle comma L3o102 [-37 0 0 0 0 10⟩ 5.2766
silver half cents comma [-8881 0 0 0 0 2400⟩ 66.389
Hunt minor submediant comma L3o1 1053 / 1024 [-10 4 0 0 0 1⟩ 48.348
thuyo comma 3uy1 40 / 39 [17 0 0 0 0 0 0 -4⟩ 43.831
astburyp L3o62 4826809 / 4718592 [-19 -2 0 0 0 6⟩ 39.255
wilsorma, thoyo comma 3oy1 65 / 64 [-6 0 1 0 0 1⟩ 26.841
winmeanma, thulogu comma 3u1og1 66 / 65 [1 1 -1 0 1 -1⟩ 26.432
negustma, tholuru comma 3o1ur1 78 / 77 [1 1 0 -1 -1 1⟩ 22.339
superleap, thozogu comma 3ozg2 91 / 90 [-1 -2 -1 1 0 1⟩ 19.130
animist, thuzoyo comma 3uzy1 105 / 104 [-3 1 1 1 0 -1⟩ 16.567
secorian s3uz2 28672 / 28431 [12 -7 0 1 0 -1⟩ 14.613
mosaic L3orr-2 3159 / 3136 [-6 5 0 -2 0 1⟩ 12.651
gassorma 3u1oryy-2 275 / 273 [0 -1 2 -1 1 -1⟩ 12.637
grossma, thulu comma 3u1u1 144 / 143 [4 2 0 0 -1 -1⟩ 12.064
buzurgisma, dhanvantarisma 3oor1 169 / 168 [-3 -1 0 -1 0 2⟩ 10.274
catadictma, thologu comma 3o1og1 1287 / 1280 [-8 2 -1 0 1 1⟩ 9.4419
mynucuma, thuzozogu comma 3uzzg2 196 / 195 [2 -1 -1 2 0 -1⟩ 8.8554
huntma, thururuyo comma 3urry-2 640 / 637 [7 0 1 -2 0 -1⟩ 8.1342
threedie, triple-tho comma s3o32 2197 / 2187 [0 -7 0 0 0 3⟩ 7.8980
kestrel comma 3uu1or-2 1188 / 1183 [2 3 0 -1 1 -2⟩ 7.3017
marveltwin, thoyoyo comma 3oyy1 325 / 324 [-2 -4 2 0 0 1⟩ 5.3351
ratwolfsma, thorugugu comma 3orgg1 351 / 350 [-1 3 -2 -1 0 1⟩ 4.9393
minthma, thulo comma 3u1o1 352 / 351 [5 -3 0 0 1 -1⟩ 4.9253
gentle comma 3o1uuz2 364 / 363 [2 -1 0 1 -2 1⟩ 4.7627
cuthbert 3uu1oozg1 847 / 845 [0 0 -1 1 2 -2⟩ 4.0928

17-limit commas

Name(s) Color Name Ratio Monzo Cents
11 semitone comma [45 0 0 0 0 0 -11⟩ 45.490
12 semitone comma [-49 0 0 0 0 0 12⟩ 59.465
23 semitone comma [-94 0 0 0 0 0 23⟩ 13.974
Hunt 17-cycle comma [139 0 0 0 0 0 -34⟩ 31.516
17-ripple integer cents comma [327 0 0 0 0 0 -80⟩ 3.5672
sogugu comma 17ogg2 51 / 50 [17 0 0 0 0 0 0 -4⟩ 34.283
sutho comma 17u3o1 52 / 51 [17 0 0 0 0 0 0 -4⟩ 33.617
soruyo comma 17ory1 85 / 84 [17 0 0 0 0 0 0 -4⟩ 20.488
Hunt flat 2 comma, so comma L17o1 4131 / 4096 [-12 5 0 0 0 0 1⟩ 14.730
suruyo comma 17ury-2 120 / 119 [17 0 0 0 0 0 0 -4⟩ 14.487
Blume comma, sololo comma 17o1oo1 2057 / 2048 [-11 0 0 0 2 0 1⟩ 7.5913
sugu comma 17ug1 256 / 255 [17 0 0 0 0 0 0 -4⟩ 6.776
Tannisma, suthozo comma 17u3oz1 273 / 272 [-4 1 0 1 0 1 -1⟩ 6.3532
Septendecimal integer cents / soso comma 17oo2 289 / 288 [-5 -2 0 0 0 0 2⟩ 6.0008

19-limit commas

Name(s) Color Name Ratio Monzo Cents
nutho comma 19u3o1 39 / 38 [17 0 0 0 0 0 0 -4⟩ 44.970
noru comma 19or1 57 / 56 [17 0 0 0 0 0 0 -4⟩ 30.642
nuruyo comma 19ury-2 135 / 133 [17 0 0 0 0 0 0 -4⟩ 25.840
nogugu comma 19ogg2 76 / 75 [17 0 0 0 0 0 0 -4⟩ 22.931
nulozo comma 19u1o1 77 / 76 [17 0 0 0 0 0 0 -4⟩ 22.631
nugu comma 19ug1 96 / 95 [17 0 0 0 0 0 0 -4⟩ 18.128
noluzo comma 19o1uz2 133 / 132 [17 0 0 0 0 0 0 -4⟩ 13.066
nuso comma 19u17o1 153 / 152 [17 0 0 0 0 0 0 -4⟩ 11.352
nosugu comma 19o17ug1 171 / 170 [17 0 0 0 0 0 0 -4⟩ 10.154
Hunt 19-cycle comma, quadnu comma s19u4-2 131072 / 130321 [17 0 0 0 0 0 0 -4⟩ 9.9479
spleen comma, nuluzoyo comma 19u1uzy1 210 / 209 [1 1 1 1 -1 0 0 -1⟩ 8.2637
nusu comma 19u17u-2 324 / 323 [1 1 1 1 -1 0 0 -1⟩ 5.352
go comma, nonogu comma 19oog2 361 / 360 [-3 -2 -1 0 0 0 0 2⟩ 4.8023
ino comma L19o1 513 / 512 [17 0 0 0 0 0 0 -4⟩ 3.378
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