Unnoticeable comma: Difference between revisions

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'''Unnoticeable commas''' are very small intervals. These commas are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the average peak [http://musictheory.zentral.zone/huntsystem2.html#2 JND] (just-noticeable difference) of human pitch perception, as illustrated by the research of [[Aaron_Andrew_Hunt|Aaron Andrew Hunt]]. It is improbable that even a trained listener would be able to notice these intervals, and as such they a prime target for psychoacoustically informed [[Microtempering|microtempering]].
'''Unnoticeable commas''' are very small intervals. These commas are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the average peak [http://musictheory.zentral.zone/huntsystem2.html#2 JND] (just-noticeable difference) of human pitch perception, as illustrated by the research of [[Aaron_Andrew_Hunt|Aaron Andrew Hunt]]. It is improbable that even a trained listener would be able to notice these intervals, and as such they a prime target for psychoacoustically informed [[Microtempering|microtempering]].


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 [[conventions|convention]] elsewhere on the wiki.
For commas over 100 cents in size, see [[Large commas]]; and for commas over 3.5 cents in size, see [[Comma|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 [[conventions|convention]] elsewhere on the wiki. Except for the 3-limit commas, the [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out.


== 3-limit commas ==
== 3-limit commas ==
Line 8: Line 10:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 13: Line 16:
|-
|-
| Sasktel comma, 51-Pythagorean comma
| Sasktel comma, 51-Pythagorean comma
|wa-306 comma
|   
|   
| {{Monzo|485 -306}}
| {{Monzo|485 -306}}
Line 18: Line 22:
|-
|-
| [[Satanic comma]]
| [[Satanic comma]]
|wa-665 comma
|
|
| {{Monzo|-1054 665}}
| {{Monzo|-1054 665}}
Line 28: Line 33:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 33: Line 39:
|-
|-
| dodifo
| dodifo
|quadla-sepquinyo
|   
|   
| {{Monzo|-67 -9 35}}
| {{Monzo|-67 -9 35}}
Line 38: Line 45:
|-
|-
| [[vishnuzma]], semisuper
| [[vishnuzma]], semisuper
| sasepbigu
| 6115295232 / 6103515625
| 6115295232 / 6103515625
| {{Monzo|23 6 -14}}
| {{Monzo|23 6 -14}}
Line 43: Line 51:
|-
|-
| [[enneadeca]], 19-tone-comma
| [[enneadeca]], 19-tone-comma
| neyo
| 19073486328125 / 19042491875328
| 19073486328125 / 19042491875328
| {{Monzo|-14 -19 19}}
| {{Monzo|-14 -19 19}}
Line 48: Line 57:
|-
|-
| vavoom
| vavoom
| quinla-seyo
|  
|  
| {{Monzo|-68 18 17}}
| {{Monzo|-68 18 17}}
Line 53: Line 63:
|-
|-
| tricot comma
| tricot comma
| quadsa-triyo
| 68719476736000 / 68630377364883
| 68719476736000 / 68630377364883
| {{Monzo|39 -29 3}}
| {{Monzo|39 -29 3}}
Line 58: Line 69:
|-
|-
| schisma
| schisma
| layo
| 32805 / 32768
| 32805 / 32768
| {{Monzo|-15 8 1}}
| {{Monzo|-15 8 1}}
Line 63: Line 75:
|-
|-
| counterschisma
| counterschisma
| tribilagu
|  
|  
| {{Monzo|-69 45 -1}}
| {{Monzo|-69 45 -1}}
Line 68: Line 81:
|-
|-
| septendecima
| septendecima
| lala-sebiyo
|  
|  
| {{Monzo|-52 -17 34}}
| {{Monzo|-52 -17 34}}
Line 73: Line 87:
|-
|-
| hemithirds comma, lunama
| hemithirds comma, lunama
| sasa-quintrigu
| 274877906944 / 274658203125
| 274877906944 / 274658203125
| {{Monzo|38 -2 -15}}
| {{Monzo|38 -2 -15}}
Line 78: Line 93:
|-
|-
| minortonic comma
| minortonic comma
| trila-segu
| 50031545098999707 / 50000000000000000
| 50031545098999707 / 50000000000000000
| {{Monzo|-16 35 -17}}
| {{Monzo|-16 35 -17}}
Line 83: Line 99:
|-
|-
| [[ennealimmal]]
| [[ennealimmal]]
| satritribiyo
| 7629394531250 / 7625597484987
| 7629394531250 / 7625597484987
| {{Monzo|1 -27 18}}
| {{Monzo|1 -27 18}}
Line 88: Line 105:
|-
|-
| astro
| astro
|tribisa-thirty-wegu
|  
|  
| {{Monzo|91 -12 -31}}
| {{Monzo|91 -12 -31}}
Line 93: Line 111:
|-
|-
| kwazy
| kwazy
| quadla-quadquadyo
| 9010162353515625 / 9007199254740992  
| 9010162353515625 / 9007199254740992  
| {{Monzo|-53 10 16}}
| {{Monzo|-53 10 16}}
Line 98: Line 117:
|-
|-
| whoosh
| whoosh
| saletrigu
|  
|  
| {{Monzo|37 25 -33}}
| {{Monzo|37 25 -33}}
Line 103: Line 123:
|-
|-
| egads
| egads
| setriyo
|  
|  
| {{Monzo|-36 -52 51}}
| {{Monzo|-36 -52 51}}
Line 108: Line 129:
|-
|-
| [[Very high accuracy temperaments|monzisma]]
| [[Very high accuracy temperaments|monzisma]]
| quinsa-yoyo
| 450359962737049600 / 450283905890997363
| 450359962737049600 / 450283905890997363
| {{Monzo|54 -37 2}}
| {{Monzo|54 -37 2}}
Line 113: Line 135:
|-
|-
| fortune
| fortune
| tritrila-sepbiyo
|  
|  
| {{Monzo|-107 47 14}}
| {{Monzo|-107 47 14}}
Line 118: Line 141:
|-
|-
| gross
| gross
|
|  
|  
| {{Monzo|144 -22 -47}}
| {{Monzo|144 -22 -47}}
Line 123: Line 147:
|-
|-
| senior
| senior
| quadla-sepquingu
|  
|  
| {{Monzo|-17 62 -35}}
| {{Monzo|-17 62 -35}}
Line 128: Line 153:
|-
|-
| 665&3684 comma
| 665&3684 comma
| quintritrlayo
|
|
| {{Monzo|-500 314 1}}
| {{Monzo|-500 314 1}}
Line 133: Line 159:
|-
|-
| raider
| raider
|
|  
|  
| {{Monzo|71 -99 37}}
| {{Monzo|71 -99 37}}
Line 138: Line 165:
|-
|-
| pirate
| pirate
|
|  
|  
| {{Monzo|-90 -15 49}}
| {{Monzo|-90 -15 49}}
Line 143: Line 171:
|-
|-
| viking
| viking
|
|  
|  
| {{Monzo|-251 69 61}}
| {{Monzo|-251 69 61}}
Line 148: Line 177:
|-
|-
| [[Kirnberger's atom]]
| [[Kirnberger's atom]]
| sepbisa-quadtrigu
|  
|  
| {{Monzo|161 -84 -12}}
| {{Monzo|161 -84 -12}}
Line 153: Line 183:
|-
|-
| selenia
| selenia
|
|  
|  
| {{Monzo|-433 -137 280}}
| {{Monzo|-433 -137 280}}
Line 158: Line 189:
|-
|-
| titania
| titania
|
|  
|  
| {{Monzo|2746 -521 -827}}
| {{Monzo|2746 -521 -827}}
Line 163: Line 195:
|-
|-
| quark
| quark
|
|  
|  
| {{Monzo|-573 237 85}}
| {{Monzo|-573 237 85}}
Line 168: Line 201:
|-
|-
| scamp
| scamp
|
|  
|  
| {{Monzo|-5836 4293 -417}}
| {{Monzo|-5836 4293 -417}}
Line 173: Line 207:
|-
|-
| rover
| rover
|
|  
|  
| {{Monzo|1634 1502 -1729}}
| {{Monzo|1634 1502 -1729}}
Line 178: Line 213:
|-
|-
| rascal
| rascal
|
|  
|  
| {{Monzo|-7470 2791 1312}}
| {{Monzo|-7470 2791 1312}}
Line 188: Line 224:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 193: Line 230:
|-
|-
| 44-septimal comma
| 44-septimal comma
|
|  
|  
| {{Monzo|-263 88 0 44}}
| {{Monzo|-263 88 0 44}}
Line 198: Line 236:
|-
|-
| 571-7-comma
| 571-7-comma
|
|  
|  
| {{Monzo|1603 0 0 -571}}
| {{Monzo|1603 0 0 -571}}
Line 203: Line 242:
|-
|-
| horwell
| horwell
| lazoquinyo
| 65625 / 65536
| 65625 / 65536
| {{Monzo|-16 1 5 1}}
| {{Monzo|-16 1 5 1}}
Line 208: Line 248:
|-
|-
| meter
| meter
| latriruasepyo
| 703125 / 702464
| 703125 / 702464
| {{Monzo|-11 2 7 -3}}
| {{Monzo|-11 2 7 -3}}
Line 213: Line 254:
|-
|-
| wizma
| wizma
| quinzoayoyo
| 420175 / 419904
| 420175 / 419904
| {{Monzo|-6 -8 2 5}}
| {{Monzo|-6 -8 2 5}}
Line 218: Line 260:
|-
|-
| breedsma
| breedsma
| bizozogu
| [[2401/2400|2401 / 2400]]
| [[2401/2400|2401 / 2400]]
| {{Monzo|-5 -1 -2 4}}
| {{Monzo|-5 -1 -2 4}}
Line 223: Line 266:
|-
|-
| ragisma
| ragisma
| zoquadyo
| 4375 / 4374
| 4375 / 4374
| {{Monzo|-1 -7 4 1}}
| {{Monzo|-1 -7 4 1}}
Line 228: Line 272:
|-
|-
| akjaysma, 5\7 octave comma
| akjaysma, 5\7 octave comma
| trisa-sepruyo
| 140737488355328 / 140710042265625
| 140737488355328 / 140710042265625
| {{Monzo|47 -7 -7 -7}}
| {{Monzo|47 -7 -7 -7}}
Line 233: Line 278:
|-
|-
| landscape
| landscape
| trizogugu
| 250047 / 250000
| 250047 / 250000
| {{Monzo|-4 6 -6 3}}
| {{Monzo|-4 6 -6 3}}
Line 238: Line 284:
|-
|-
| nanisma
| nanisma
| quinbisaru
|  
|  
| {{Monzo|109 -67 0 -1}}
| {{Monzo|109 -67 0 -1}}
Line 243: Line 290:
|-
|-
| 171&1547&3125 comma
| 171&1547&3125 comma
| laleruyo
| 3955078125/3954653486
| 3955078125/3954653486
| {{Monzo|-1 4 11 -11}}
| {{Monzo|-1 4 11 -11}}
Line 248: Line 296:
|-
|-
| starscape
| starscape
| latritriruayo
| 645700815 / 645657712
| 645700815 / 645657712
| {{Monzo|-4 17 1 -9}}
| {{Monzo|-4 17 1 -9}}
Line 253: Line 302:
|-
|-
| 12&53&612 comma
| 12&53&612 comma
| quinla-zoyoyo
|  
|  
| {{Monzo|-55 30 2 1}}
| {{Monzo|-55 30 2 1}}
Line 258: Line 308:
|-
|-
| euzenius
| euzenius
| sabi-ruquinyo
| 78125000 / 78121827
| 78125000 / 78121827
| {{Monzo|3 -13 10 -2}}
| {{Monzo|3 -13 10 -2}}
Line 263: Line 314:
|-
|-
| 171&1547&4973 comma
| 171&1547&4973 comma
|
|  
|  
| {{Monzo|1 -15 -18 23}}
| {{Monzo|1 -15 -18 23}}
Line 268: Line 320:
|-
|-
| 441&1848&3125 comma
| 441&1848&3125 comma
| trisa-quinbiruagu
|  
|  
| {{Monzo|51 -13 -1 -10}}
| {{Monzo|51 -13 -1 -10}}
Line 273: Line 326:
|-
|-
| termite
| termite
|
|  
|  
| {{Monzo|9 -28 37 -18}}
| {{Monzo|9 -28 37 -18}}
Line 278: Line 332:
|-
|-
| neutrino
| neutrino
|
|  
|  
| {{Monzo|1889 -2145 138 424}}
| {{Monzo|1889 -2145 138 424}}
Line 288: Line 343:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 293: Line 349:
|-
|-
| 11-cycle schisma, 37-11-comma
| 11-cycle schisma, 37-11-comma
|
|  
|  
| {{Monzo|128 0 0 0 -37}}
| {{Monzo|128 0 0 0 -37}}
Line 298: Line 355:
|-
|-
| [[swetismic_chords|swetisma]]
| [[swetismic_chords|swetisma]]
| lururuyo
| 540 / 539
| 540 / 539
| {{Monzo|2 3 1 -2 -1}}
| {{Monzo|2 3 1 -2 -1}}
Line 303: Line 361:
|-
|-
| wizardharry
| wizardharry
| triluyo
| 4000 / 3993
| 4000 / 3993
| {{Monzo|5 -1 3 0 -3}}
| {{Monzo|5 -1 3 0 -3}}
Line 308: Line 367:
|-
|-
| vishdel
| vishdel
| saloquadgu
| 5632 / 5625
| 5632 / 5625
| {{Monzo|9 -2 -4 0 1}}
| {{Monzo|9 -2 -4 0 1}}
Line 313: Line 373:
|-
|-
| sesdecal
| sesdecal
| laquadluasepyo
| 234375 / 234256
| 234375 / 234256
| {{Monzo|-4 1 7 0 -4}}
| {{Monzo|-4 1 7 0 -4}}
Line 318: Line 379:
|-
|-
| hemigail
| hemigail
| quadloatriru
| 43923 / 43904
| 43923 / 43904
| {{Monzo|-7 1 0 -3 4}}
| {{Monzo|-7 1 0 -3 4}}
Line 323: Line 385:
|-
|-
| lehmerisma
| lehmerisma
| loloruyoyo
| 3025 / 3024
| 3025 / 3024
| {{Monzo|-4 -3 2 -1 2}}
| {{Monzo|-4 -3 2 -1 2}}
Line 328: Line 391:
|-
|-
| kalisma, Gauss' comma
| kalisma, Gauss' comma
| bilorugu
| 9801 / 9800
| 9801 / 9800
| {{Monzo|-3 4 -2 -2 2}}
| {{Monzo|-3 4 -2 -2 2}}
Line 333: Line 397:
|-
|-
| odiheim
| odiheim
| lulu-quinzoaquadgu
| 151263 / 151250
| 151263 / 151250
| {{Monzo|-1 2 -4 5 -2}}
| {{Monzo|-1 2 -4 5 -2}}
Line 338: Line 403:
|-
|-
| parimo
| parimo
| satribiloagu
| 1771561 / 1771470
| 1771561 / 1771470
| {{Monzo|-1 -11 -1 0 6}}
| {{Monzo|-1 -11 -1 0 6}}
Line 343: Line 409:
|-
|-
| ultimo
| ultimo
| quadloasepruayoyo
| 3294225 / 3294172
| 3294225 / 3294172
| {{Monzo|-2 2 2 -7 4}}
| {{Monzo|-2 2 2 -7 4}}
Line 353: Line 420:
|-
|-
! Name
! Name
![[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 358: Line 426:
|-
|-
| tunbarsma
| tunbarsma
| thuquadyo
| 625 / 624
| 625 / 624
| {{Monzo|-4 -1 4 0 0 -1}}
| {{Monzo|-4 -1 4 0 0 -1}}
Line 363: Line 432:
|-
|-
| [[The_Archipelago|island comma]]
| [[The_Archipelago|island comma]]
| bithogu
| 676 / 675
| 676 / 675
| {{Monzo|2 -3 -2 0 0 2}}
| {{Monzo|2 -3 -2 0 0 2}}
Line 368: Line 438:
|-
|-
| [[squbemic_chords|squbema]]
| [[squbemic_chords|squbema]]
| lathuru
| 729 / 728
| 729 / 728
| {{Monzo|-3 6 0 -1 0 -1}}
| {{Monzo|-3 6 0 -1 0 -1}}
Line 373: Line 444:
|-
|-
| [[petrmic_triad|petrma]]
| [[petrmic_triad|petrma]]
| trithu-aloyoyo
| 2200 / 2197
| 2200 / 2197
| {{Monzo|3 0 2 0 1 -3}}
| {{Monzo|3 0 2 0 1 -3}}
Line 378: Line 450:
|-
|-
| [[nicolic_tetrad|nicola]]
| [[nicolic_tetrad|nicola]]
| thululu-zoyoyo
| 1575 / 1573
| 1575 / 1573
| {{Monzo|0 2 2 1 -2 -1}}
| {{Monzo|0 2 2 1 -2 -1}}
Line 383: Line 456:
|-
|-
| [[sinbadmic_tetrad|sinbadma]]
| [[sinbadmic_tetrad|sinbadma]]
| tholozo-trigu
| 1001 / 1000
| 1001 / 1000
| {{Monzo|-3 0 -3 1 1 1}}
| {{Monzo|-3 0 -3 1 1 1}}
Line 388: Line 462:
|-
|-
| cantonisma
| cantonisma
| trithoruayo
| 10985 / 10976
| 10985 / 10976
| {{Monzo|-5 0 1 -3 0 3}}
| {{Monzo|-5 0 1 -3 0 3}}
Line 393: Line 468:
|-
|-
| lummic
| lummic
| tholo-triruagu
| 1716 / 1715
| 1716 / 1715
| {{Monzo|2 1 -1 -3 1 1}}
| {{Monzo|2 1 -1 -3 1 1}}
Line 398: Line 474:
|-
|-
| ibnsinma
| ibnsinma
| tholuruyo
| 2080 / 2079
| 2080 / 2079
| {{Monzo|5 -3 1 -1 -1 1}}
| {{Monzo|5 -3 1 -1 -1 1}}
Line 403: Line 480:
|-
|-
| schismina
| schismina
| sathurugu
| 4096 / 4095
| 4096 / 4095
| {{Monzo|12 -2 -1 -1 0 -1}}
| {{Monzo|12 -2 -1 -1 0 -1}}
Line 408: Line 486:
|-
|-
| leprechaun comma
| leprechaun comma
| thotholuyoyo
| 4225 / 4224
| 4225 / 4224
| {{Monzo|-7 -1 2 0 -1 2}}
| {{Monzo|-7 -1 2 0 -1 2}}
Line 413: Line 492:
|-
|-
| jacobin
| jacobin
| thotriluagu
| 6656 / 6655
| 6656 / 6655
| {{Monzo|9 0 -1 0 -3 1}}
| {{Monzo|9 0 -1 0 -3 1}}
Line 418: Line 498:
|-
|-
| harmonisma
| harmonisma
| thuthu-triloaru
| 10648 / 10647
| 10648 / 10647
| {{Monzo|3 -2 0 -1 3 -2}}
| {{Monzo|3 -2 0 -1 3 -2}}
Line 423: Line 504:
|-
|-
| chalmersima
| chalmersima
| lathotho-luru-gugu
| 123201 / 123200
| 123201 / 123200
| {{Monzo|-6 6 -2 -1 -1 2}}
| {{Monzo|-6 6 -2 -1 -1 2}}
Line 433: Line 515:
|-
|-
! Name
! Name
![[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 438: Line 521:
|-
|-
| xenisma
| xenisma
| sululu-trizo
| 2058 / 2057
| 2058 / 2057
| {{Monzo|1 1 0 3 -2 0 -1}}
| {{Monzo|1 1 0 3 -2 0 -1}}
Line 443: Line 527:
|-
|-
| flashma
| flashma
| sotho-luzo-trigu
| 12376 / 12375
| 12376 / 12375
| {{Monzo|3 -2 -3 1 -1 1 1}}
| {{Monzo|3 -2 -3 1 -1 1 1}}
Line 448: Line 533:
|-
|-
| sparkisma
| sparkisma
| sululu-ruyoyo
| 14400 / 14399
| 14400 / 14399
| {{Monzo|6 2 2 -1 -2 0 -1}}
| {{Monzo|6 2 2 -1 -2 0 -1}}
Line 453: Line 539:
|-
|-
| scintillisma
| scintillisma
| lasuthulu-quadzoagu
| 194481 / 194480
| 194481 / 194480
| {{Monzo|-4 4 -1 4 -1 -1 -1}}
| {{Monzo|-4 4 -1 4 -1 -1 -1}}
Line 463: Line 550:
|-
|-
! Name
! Name
![[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 468: Line 556:
|-
|-
| undevicesimal, Boethius', Hunt 19-minor mediant comma
| undevicesimal, Boethius', Hunt 19-minor mediant comma
| lano
| 513 / 512
| 513 / 512
| {{Monzo|-9 3 0 0 0 0 0 1}}
| {{Monzo|-9 3 0 0 0 0 0 1}}
Line 473: Line 562:
|-
|-
| password
| password
| sanogu
| 1216 / 1215
| 1216 / 1215
| {{Monzo|6 -5 -1 0 0 0 0 1}}
| {{Monzo|6 -5 -1 0 0 0 0 1}}
Line 478: Line 568:
|-
|-
| Blumeyer comma
| Blumeyer comma
| nosuthulu
| 2432 / 2431
| 2432 / 2431
| {{Monzo|7 0 0 0 -1 -1 -1 1}}
| {{Monzo|7 0 0 0 -1 -1 -1 1}}
Line 483: Line 574:
|-
|-
| 19-limit decimill
| 19-limit decimill
| noso-ruru-trigu
| 165376 / 165375
| 165376 / 165375
| {{Monzo|9 -3 -3 -2 0 0 1 1}}
| {{Monzo|9 -3 -3 -2 0 0 1 1}}

Revision as of 07:24, 13 January 2019

Unnoticeable commas are very small intervals. These commas are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the average peak JND (just-noticeable difference) of human pitch perception, as illustrated by the research of Aaron Andrew Hunt. It is improbable that even a trained listener would be able to notice these intervals, and as such they a prime target for psychoacoustically informed microtempering.

For commas over 100 cents in size, see Large commas; and for commas over 3.5 cents in size, see 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. Except for the 3-limit commas, the color name refers to both the comma and the temperament created when it is tempered out.

3-limit commas

Name(s) Color Name Ratio Monzo Cents
Sasktel comma, 51-Pythagorean comma wa-306 comma [485 -306⟩ 1.7697
Satanic comma wa-665 comma [-1054 665⟩ 0.075575

5-limit commas

Name(s) Color Name Ratio Monzo Cents
dodifo quadla-sepquinyo [-67 -9 35⟩ 3.3850
vishnuzma, semisuper sasepbigu 6115295232 / 6103515625 [23 6 -14⟩ 3.3380
enneadeca, 19-tone-comma neyo 19073486328125 / 19042491875328 [-14 -19 19⟩ 2.8155
vavoom quinla-seyo [-68 18 17⟩ 2.5232
tricot comma quadsa-triyo 68719476736000 / 68630377364883 [39 -29 3⟩ 2.2461
schisma layo 32805 / 32768 [-15 8 1⟩ 1.9537
counterschisma tribilagu [-69 45 -1⟩ 1.6613
septendecima lala-sebiyo [-52 -17 34⟩ 1.4313
hemithirds comma, lunama sasa-quintrigu 274877906944 / 274658203125 [38 -2 -15⟩ 1.3843
minortonic comma trila-segu 50031545098999707 / 50000000000000000 [-16 35 -17⟩ 1.0919
ennealimmal satritribiyo 7629394531250 / 7625597484987 [1 -27 18⟩ 0.86183
astro tribisa-thirty-wegu [91 -12 -31⟩ 0.81486
kwazy quadla-quadquadyo 9010162353515625 / 9007199254740992 [-53 10 16⟩ 0.56943
whoosh saletrigu [37 25 -33⟩ 0.52246
egads setriyo [-36 -52 51⟩ 0.33936
monzisma quinsa-yoyo 450359962737049600 / 450283905890997363 [54 -37 2⟩ 0.29240
fortune tritrila-sepbiyo [-107 47 14⟩ 0.27703
gross [144 -22 -47⟩ 0.24543
senior quadla-sepquingu [-17 62 -35⟩ 0.23007
665&3684 comma quintritrlayo [-500 314 1⟩ 0.18399
raider [71 -99 37⟩ 0.062327
pirate [-90 -15 49⟩ 0.046966
viking [-251 69 61⟩ 0.031605
Kirnberger's atom sepbisa-quadtrigu [161 -84 -12⟩ 0.015361
selenia [-433 -137 280⟩ 0.0047636
titania [2746 -521 -827⟩ 0.0031829
quark [-573 237 85⟩ 8.8361 × 10-4
scamp [-5836 4293 -417⟩ 3.3472 × 10-5
rover [1634 1502 -1729⟩ 2.7513 × 10-5
rascal [-7470 2791 1312⟩ 5.9596 × 10-6

7-limit commas

Name(s) Color Name Ratio Monzo Cents
44-septimal comma [-263 88 0 44⟩ 0.37996
571-7-comma [1603 0 0 -571⟩ 0.40741
horwell lazoquinyo 65625 / 65536 [-16 1 5 1⟩ 2.3495
meter latriruasepyo 703125 / 702464 [-11 2 7 -3⟩ 1.6283
wizma quinzoayoyo 420175 / 419904 [-6 -8 2 5⟩ 1.1170
breedsma bizozogu 2401 / 2400 [-5 -1 -2 4⟩ 0.72120
ragisma zoquadyo 4375 / 4374 [-1 -7 4 1⟩ 0.39576
akjaysma, 5\7 octave comma trisa-sepruyo 140737488355328 / 140710042265625 [47 -7 -7 -7⟩ 0.33765
landscape trizogugu 250047 / 250000 [-4 6 -6 3⟩ 0.32544
nanisma quinbisaru [109 -67 0 -1⟩ 0.18904
171&1547&3125 comma laleruyo 3955078125/3954653486 [-1 4 11 -11⟩ 0.18588
starscape latritriruayo 645700815 / 645657712 [-4 17 1 -9⟩ 0.11557
12&53&612 comma quinla-zoyoyo [-55 30 2 1⟩ 0.10336
euzenius sabi-ruquinyo 78125000 / 78121827 [3 -13 10 -2⟩ 0.070314
171&1547&4973 comma [1 -15 -18 23⟩ 0.023986
441&1848&3125 comma trisa-quinbiruagu [51 -13 -1 -10⟩ 0.012210
termite [9 -28 37 -18⟩ 0.0010723
neutrino [1889 -2145 138 424⟩ 1.6361 × 10-10

11-limit commas

Name(s) Color Name Ratio Monzo Cents
11-cycle schisma, 37-11-comma [128 0 0 0 -37⟩ 1.2361
swetisma lururuyo 540 / 539 [2 3 1 -2 -1⟩ 3.2090
wizardharry triluyo 4000 / 3993 [5 -1 3 0 -3⟩ 3.0323
vishdel saloquadgu 5632 / 5625 [9 -2 -4 0 1⟩ 2.1531
sesdecal laquadluasepyo 234375 / 234256 [-4 1 7 0 -4⟩ 0.87923
hemigail quadloatriru 43923 / 43904 [-7 1 0 -3 4⟩ 0.74905
lehmerisma loloruyoyo 3025 / 3024 [-4 -3 2 -1 2⟩ 0.57240
kalisma, Gauss' comma bilorugu 9801 / 9800 [-3 4 -2 -2 2⟩ 0.17665
odiheim lulu-quinzoaquadgu 151263 / 151250 [-1 2 -4 5 -2⟩ 0.14879
parimo satribiloagu 1771561 / 1771470 [-1 -11 -1 0 6⟩ 0.088931
ultimo quadloasepruayoyo 3294225 / 3294172 [-2 2 2 -7 4⟩ 0.027854

13-limit commas

Name Color Name Ratio Monzo Cents
tunbarsma thuquadyo 625 / 624 [-4 -1 4 0 0 -1⟩ 2.7722
island comma bithogu 676 / 675 [2 -3 -2 0 0 2⟩ 2.5629
squbema lathuru 729 / 728 [-3 6 0 -1 0 -1⟩ 2.3764
petrma trithu-aloyoyo 2200 / 2197 [3 0 2 0 1 -3⟩ 2.3624
nicola thululu-zoyoyo 1575 / 1573 [0 2 2 1 -2 -1⟩ 2.1998
sinbadma tholozo-trigu 1001 / 1000 [-3 0 -3 1 1 1⟩ 1.7303
cantonisma trithoruayo 10985 / 10976 [-5 0 1 -3 0 3⟩ 1.4190
lummic tholo-triruagu 1716 / 1715 [2 1 -1 -3 1 1⟩ 1.0092
ibnsinma tholuruyo 2080 / 2079 [5 -3 1 -1 -1 1⟩ 0.83252
schismina sathurugu 4096 / 4095 [12 -2 -1 -1 0 -1⟩ 0.42272
leprechaun comma thotholuyoyo 4225 / 4224 [-7 -1 2 0 -1 2⟩ 0.40981
jacobin thotriluagu 6656 / 6655 [9 0 -1 0 -3 1⟩ 0.26012
harmonisma thuthu-triloaru 10648 / 10647 [3 -2 0 -1 3 -2⟩ 0.16260
chalmersima lathotho-luru-gugu 123201 / 123200 [-6 6 -2 -1 -1 2⟩ 0.014052

17-limit commas

Name Color Name Ratio Monzo Cents
xenisma sululu-trizo 2058 / 2057 [1 1 0 3 -2 0 -1⟩ 0.84143
flashma sotho-luzo-trigu 12376 / 12375 [3 -2 -3 1 -1 1 1⟩ 0.13989
sparkisma sululu-ruyoyo 14400 / 14399 [6 2 2 -1 -2 0 -1⟩ 0.12023
scintillisma lasuthulu-quadzoagu 194481 / 194480 [-4 4 -1 4 -1 -1 -1⟩ 0.0089018

19-limit commas

Name Color Name Ratio Monzo Cents
undevicesimal, Boethius', Hunt 19-minor mediant comma lano 513 / 512 [-9 3 0 0 0 0 0 1⟩ 3.3781
password sanogu 1216 / 1215 [6 -5 -1 0 0 0 0 1⟩ 1.4243
Blumeyer comma nosuthulu 2432 / 2431 [7 0 0 0 -1 -1 -1 1⟩ 0.71200
19-limit decimill noso-ruru-trigu 165376 / 165375 [9 -3 -3 -2 0 0 1 1⟩ 0.010469
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