Medium comma: Difference between revisions
m Copying from Category:Medium commas to Category:Lists of intervals using Cat-a-lot |
m →13-limit commas: corrected a typo in Monzo |
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A '''medium comma''' is a [[comma]] whose size is approximately between 30 and 100 cents. These commas are easily perceptible. | A '''medium comma''' is a [[comma]] whose size is approximately between 30 and 100 cents. These commas are easily perceptible. Many schools do not consider them true commas. In [[Sagittal notation]], intervals in the smaller part of this category are [[diesis (interval region)|dieses]], and intervals in the larger part of this category are [[semitone (interval region)|semitones]]<ref>[https://sagittal.org/sagittal.pdf ''Sagittal – A Microtonal Notation System''] by [[George Secor|George D. Secor]] and [[Dave Keenan|David C. Keenan]]</ref>. | ||
For commas over 100 cents, see [[Large comma]]; for commas under 30 cents, see [[Small comma]]; for such under 3.5 cents see [[Unnoticeable comma]]. | For commas over 100 cents, see [[Large comma]]; for commas under 30 cents, see [[Small comma]]; for such under 3.5 cents see [[Unnoticeable comma]]. | ||
Except for the 3-limit commas, the [[color name]] refers to both the comma and the temperament created when it is tempered out. | Except for the 3-limit commas, the [[color name]] refers to both the comma and the temperament created when it is tempered out. | ||
The commas might be numerous, but there is no need to memorise all the names. For pretty much all use cases, it is perfectly acceptable – preferred, even – to just refer to a comma by the monzo or ratio, whichever is simpler. | |||
== List of commas, by prime limit == | == List of commas, by prime limit == | ||
Line 15: | Line 17: | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cents]] | ! [[Cents]] | ||
! Named by | |||
|- | |- | ||
| [[256/243|limma | | [[256/243|Pythagorean limma]], blackwood comma | ||
| Sawa | | Sawa | ||
| sw2 | | sw2 | ||
Line 22: | Line 25: | ||
| {{monzo| 8 -5 }} | | {{monzo| 8 -5 }} | ||
| 90.225 | | 90.225 | ||
| | |||
|- | |- | ||
| 301-comma | | 301-comma | ||
Line 29: | Line 33: | ||
| {{monzo| -477 301 }} | | {{monzo| -477 301 }} | ||
| 88.455 | | 88.455 | ||
| | |||
|- | |- | ||
| 248-comma | | 248-comma | ||
Line 36: | Line 41: | ||
| {{monzo| -393 248 }} | | {{monzo| -393 248 }} | ||
| 84.840 | | 84.840 | ||
| | |||
|- | |- | ||
| 111-comma | | 111-comma | ||
Line 43: | Line 49: | ||
| {{monzo| 176 -111 }} | | {{monzo| 176 -111 }} | ||
| 82.995 | | 82.995 | ||
| | |||
|- | |- | ||
| 142-comma | | 142-comma | ||
Line 50: | Line 57: | ||
| {{monzo| -225 142 }} | | {{monzo| -225 142 }} | ||
| 77.610 | | 77.610 | ||
| | |||
|- | |- | ||
| 217-comma | | 217-comma | ||
Line 57: | Line 65: | ||
| {{monzo| 344 -217 }} | | {{monzo| 344 -217 }} | ||
| 75.765 | | 75.765 | ||
| | |||
|- | |- | ||
| 89-comma | | 89-comma | ||
Line 64: | Line 73: | ||
| {{monzo| -141 89 }} | | {{monzo| -141 89 }} | ||
| 73.995 | | 73.995 | ||
| | |||
|- | |- | ||
| [[17-comma | | [[Gothic comma]], Pythagorean gothma, 17-comma | ||
| Wa-17 | | Wa-17 | ||
| ssw3 | | ssw3 | ||
Line 71: | Line 81: | ||
| {{monzo| 27 -17 }} | | {{monzo| 27 -17 }} | ||
| 66.765 | | 66.765 | ||
| [[Flora Canou]] (2023) for ''Pyth. gothma'' and ''gothic comma'' | |||
|- | |- | ||
| 289-comma | | 289-comma | ||
Line 78: | Line 89: | ||
| {{monzo| -458 289 }} | | {{monzo| -458 289 }} | ||
| 64.995 | | 64.995 | ||
| | |||
|- | |- | ||
| 70-comma | | 70-comma | ||
Line 85: | Line 97: | ||
| {{monzo| 111 -70 }} | | {{monzo| 111 -70 }} | ||
| 63.150 | | 63.150 | ||
| | |||
|- | |- | ||
| 183-comma | | 183-comma | ||
Line 92: | Line 105: | ||
| {{monzo| -290 183 }} | | {{monzo| -290 183 }} | ||
| 57.765 | | 57.765 | ||
| | |||
|- | |- | ||
| 176-comma | | 176-comma | ||
Line 99: | Line 113: | ||
| {{monzo| 279 -176 }} | | {{monzo| 279 -176 }} | ||
| 55.920 | | 55.920 | ||
| | |||
|- | |- | ||
| 229-comma | | 229-comma | ||
Line 106: | Line 121: | ||
| {{monzo| 363 -229 }} | | {{monzo| 363 -229 }} | ||
| 52.305 | | 52.305 | ||
| | |||
|- | |- | ||
| 77-comma | | 77-comma | ||
Line 113: | Line 129: | ||
| {{monzo| -122 77 }} | | {{monzo| -122 77 }} | ||
| 50.535 | | 50.535 | ||
| | |||
|- | |- | ||
| [[29-comma | | [[Mystery comma]], 29-comma | ||
| Wa-29 | | Wa-29 | ||
| w-29 | | w-29 | ||
Line 120: | Line 137: | ||
| {{monzo| 46 -29 }} | | {{monzo| 46 -29 }} | ||
| 43.305 | | 43.305 | ||
| | |||
|- | |- | ||
| 277-comma | | 277-comma | ||
Line 127: | Line 145: | ||
| {{monzo| -439 277 }} | | {{monzo| -439 277 }} | ||
| 41.535 | | 41.535 | ||
| | |||
|- | |- | ||
| 224-comma | | 224-comma | ||
Line 134: | Line 153: | ||
| {{monzo| -355 224 }} | | {{monzo| -355 224 }} | ||
| 37.920 | | 37.920 | ||
| | |||
|- | |- | ||
| 135-comma | | 135-comma | ||
Line 141: | Line 161: | ||
| {{monzo| 214 -135 }} | | {{monzo| 214 -135 }} | ||
| 36.075 | | 36.075 | ||
| | |||
|- | |- | ||
| 171-comma | | 171-comma | ||
Line 148: | Line 169: | ||
| {{monzo| -271 171 }} | | {{monzo| -271 171 }} | ||
| 34.305 | | 34.305 | ||
| | |||
|- | |- | ||
| 118-comma | | 118-comma | ||
Line 155: | Line 177: | ||
| {{monzo| -187 118 }} | | {{monzo| -187 118 }} | ||
| 30.690 | | 30.690 | ||
| | |||
|} | |} | ||
Line 165: | Line 188: | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cents]] | ! [[Cents]] | ||
! Named by | |||
|- | |- | ||
| | | Hogzilla comma | ||
| Lala-yoyo | | Lala-yoyo | ||
| LLyy-2 | | LLyy-2 | ||
| 4428675 / 4194304 | | 4428675 / 4194304 | ||
| {{ | | {{Monzo| -22 11 2 }} | ||
| 94.132 | | 94.132 | ||
| | |||
|- | |- | ||
| [[135/128| | | [[135/128|Mavila comma]], major chroma | ||
| Layobi | | Layobi | ||
| Ly1 | | Ly1 | ||
| 135 / 128 | | 135 / 128 | ||
| {{ | | {{Monzo| -7 3 1 }} | ||
| 92.179 | | 92.179 | ||
| | |||
|- | |- | ||
| | | Quasisuper comma | ||
| Sasagu | | Sasagu | ||
| ssg3 | | ssg3 | ||
| 8388608 / 7971615 | | 8388608 / 7971615 | ||
| {{ | | {{Monzo| 23 -13 -1 }} | ||
| 88.271 | | 88.271 | ||
| | |||
|- | |- | ||
| | | Bohpier comma, [[13edt]] comma | ||
| Satheyo | | Satheyo | ||
| | | s13y-2 | ||
| 1220703125 / 1162261467 | | 1220703125 / 1162261467 | ||
| {{ | | {{Monzo| 0 -19 13 }} | ||
| 84.933 | | 84.933 | ||
| | |||
|- | |- | ||
| | | [[6561/6250|Ripple comma]] | ||
| Quingu | | Quingu | ||
| | | 5g2 | ||
| 6561 / 6250 | | 6561 / 6250 | ||
| {{ | | {{Monzo| -1 8 -5 }} | ||
| 84.071 | | 84.071 | ||
| | |||
|- | |||
| [[Dodecoid comma]] | |||
| Sasa-sepgu | |||
| ss7g4 | |||
| 536870912 / 512578125 | |||
| {{Monzo| 29 -8 -7 }} | |||
| 80.164 | |||
| [[User:CompactStar|CompactStar]] (2023) | |||
|- | |- | ||
| | | Doublewide comma | ||
| Quadbiyo | | Quadbiyo | ||
| | | 8y-2 | ||
| 390625 / 373248 | | 390625 / 373248 | ||
| {{ | | {{Monzo| -9 -6 8 }} | ||
| 78.78 | | 78.78 | ||
| | |||
|- | |- | ||
| | | Sevond comma | ||
| Sasepyo | | Sasepyo | ||
| | | s7y1 | ||
| 5000000 / 4782969 | | 5000000 / 4782969 | ||
| {{ | | {{Monzo| 6 -14 7 }} | ||
| 76.826 | | 76.826 | ||
| [[Petr Pařízek]] (2011) | |||
|- | |- | ||
| | | Nusecond comma | ||
| Legu | | Legu | ||
| | | 11g3 | ||
| 51018336 / 48828125 | | 51018336 / 48828125 | ||
| {{ | | {{Monzo| 5 13 -11 }} | ||
| 75.964 | | 75.964 | ||
| | |||
|- | |- | ||
| | | Sentinel comma | ||
| Trila-quadyo | | Trila-quadyo | ||
| | | 3L4y-3 | ||
| 8968066875 / 8589934592 | | 8968066875 / 8589934592 | ||
| {{ | | {{Monzo| -33 15 4 }} | ||
| 74.580 | | 74.580 | ||
| | |||
|- | |- | ||
| | | [[Hypovishnuzma]] | ||
| Saquadtrigu | |||
| s12g4 | |||
| 254803968 / 244140625 | |||
| {{Monzo| 20 5 -12 }} | |||
| 74.010 | |||
| [[ArrowHead294]] (2024) | |||
|- | |||
| Stump comma | |||
| Latriyo | | Latriyo | ||
| | | L3y-2 | ||
| 273375 / 262144 | | 273375 / 262144 | ||
| {{ | | {{Monzo| -18 7 3 }} | ||
| 72.626 | | 72.626 | ||
| | |||
|- | |- | ||
| [[25/24| | | [[25/24|Dicot comma]], classic(al) chroma | ||
| Yoyo | | Yoyo | ||
| yy1 | | yy1 | ||
| 25 / 24 | | 25 / 24 | ||
| {{ | | {{Monzo| -3 -1 2 }} | ||
| 70.672 | | 70.672 | ||
| | |||
|- | |- | ||
| | | [[20480/19683|Superpyth comma]], grave minor second | ||
| Sayo | | Sayo | ||
| sy2 | | sy2 | ||
| 20480 / 19683 | | 20480 / 19683 | ||
| {{ | | {{Monzo| 12 -9 1 }} | ||
| 68.719 | | 68.719 | ||
| | |||
|- | |- | ||
| [[648/625| | | [[648/625|Diminished comma]], major diesis | ||
| Quadgu | | Quadgu | ||
| | | 4g2 | ||
| 648 / 625 | |||
| {{ | | {{Monzo| 3 4 -4 }} | ||
| 62.565 | | 62.565 | ||
| [[Paul Erlich]], [[Carl Lumma]] (2002) | |||
|- | |- | ||
| | | [[Passion comma]] | ||
| Saquingu | | Saquingu | ||
| | | s5g3 | ||
| 262144 / 253125 | | 262144 / 253125 | ||
| {{ | | {{Monzo| 18 -4 -5 }} | ||
| 60.611 | | 60.611 | ||
| [[Paul Erlich]] (2004) | |||
|- | |- | ||
| | | [[Shibboleth comma]] | ||
| Tritriyo | | Tritriyo | ||
| | | 9y-2 | ||
| 1953125 / 1889568 | | 1953125 / 1889568 | ||
| {{ | | {{Monzo| -5 -10 9 }} | ||
| 57.273 | | 57.273 | ||
| [[Paul Erlich]] (2002) | |||
|- | |- | ||
| | | Mynic comma | ||
| Quinbigu | | Quinbigu | ||
| | | 10g3 | ||
| 10077696 / 9765625 | | 10077696 / 9765625 | ||
| {{ | | {{Monzo| 9 9 -10 }} | ||
| 54.458 | | 54.458 | ||
| | |||
|- | |- | ||
| | | Tritonic comma | ||
| Lala-quinyo | | Lala-quinyo | ||
| | | LL5y-3 | ||
| 553584375 / 536870912 | | 553584375 / 536870912 | ||
| {{ | | {{Monzo| -29 11 5 }} | ||
| 53.074 | | 53.074 | ||
| | |||
|- | |- | ||
| [[ | | [[Magus comma]] | ||
| Salegu | |||
| s11g4 | |||
| 50331648 / 48828125 | |||
| {{Monzo| 24 1 -11 }} | |||
| 52.504 | |||
| [[ArrowHead294]] (2024) | |||
|- | |||
| [[Negri comma]], double augmentation diesis | |||
| Laquadyo | | Laquadyo | ||
| | | L4y-2 | ||
| 16875 / 16384 | | 16875 / 16384 | ||
| {{ | | {{Monzo| -14 3 4 }} | ||
| 51.120 | | 51.120 | ||
| [[Paul Erlich]] (2002) | |||
|- | |||
| [[Goldis comma]] | |||
| Trisa-quadtrigu | |||
| 3s12g5 | |||
| 549755813888 / 533935546875 | |||
| {{Monzo| 39 -7 -12 }} | |||
| 50.550 | |||
| [[Userminusone]] (2021) | |||
|- | |- | ||
| [[250/243| | | [[250/243|Porcupine comma]], maximal diesis | ||
| Triyo | | Triyo | ||
| | | 3y1 | ||
| 250 / 243 | | 250 / 243 | ||
| {{ | | {{Monzo| 1 -5 3 }} | ||
| 49.166 | | 49.166 | ||
| [[Herman Miller]] (1999) | |||
|- | |- | ||
| | | Mowgli comma, [[15edt]] comma | ||
| Laquintrigu | | Laquintrigu | ||
| | | L15g3 | ||
| 31381059609 / 30517578125 | | 31381059609 / <br>30517578125 | ||
| {{ | | {{Monzo| 0 22 -15 }} | ||
| 48.304 | | 48.304 | ||
| | |||
|- | |- | ||
| | | [[Immunity comma]] | ||
| Sasa-yoyo | | Sasa-yoyo | ||
| ssyy2 | | ssyy2 | ||
| 1638400 / 1594323 | | 1638400 / 1594323 | ||
| {{ | | {{Monzo| 16 -13 2 }} | ||
| 47.212 | | 47.212 | ||
| [[Mike Battaglia]] (2011) | |||
|- | |- | ||
| | | [[Python comma]] | ||
| Lalagu | | Lalagu | ||
| LLg-2 | | LLg-2 | ||
| 43046721 / 41943040 | | 43046721 / 41943040 | ||
| {{ | | {{Monzo| -23 16 -1 }} | ||
| 44.966 | | 44.966 | ||
| [[CompactStar]] (2023) | |||
|- | |- | ||
| [[128/125| | | [[128/125|Augmented comma]], diesis | ||
| Trigu | | Trigu | ||
| | | 3g2 | ||
| 128 / 125 | | 128 / 125 | ||
| {{ | | {{Monzo| 7 0 -3 }} | ||
| 41.059 | | 41.059 | ||
| [[Paul Erlich]], [[Carl Lumma]] (2002) | |||
|- | |- | ||
| | | Wizard comma | ||
| Lala-quadtriyo | | Lala-quadtriyo | ||
| | | LL12y-4 | ||
| 2197265625 / 2147483648 | | 2197265625 / 2147483648 | ||
| {{ | | {{Monzo| -31 2 12 }} | ||
| 39.675 | | 39.675 | ||
| | |||
|- | |- | ||
| [[ | | [[Sycamore comma]] | ||
| Laleyo | | Laleyo | ||
| | | L11y-3 | ||
| 48828125 / 47775744 | | 48828125 / 47775744 | ||
| {{ | | {{Monzo| -16 -6 11 }} | ||
| 37.721 | | 37.721 | ||
| [[Paul Erlich]] (2002) | |||
|- | |- | ||
| | | Absurdity comma | ||
| Lala-sepgu | | Lala-sepgu | ||
| | | LL7g1 | ||
| 10460353203 / 10240000000 | | 10460353203 / <br>10240000000 | ||
| {{ | | {{Monzo| -17 21 -7 }} | ||
| 36.859 | | 36.859 | ||
| [[Mike Battaglia]] (2011) | |||
|- | |- | ||
| | | Fifive comma | ||
| Saquinbiyo | | Saquinbiyo | ||
| | | s10y-2 | ||
| 9765625 / 9565938 | | 9765625 / 9565938 | ||
| {{ | | {{Monzo| -1 -14 10 }} | ||
| 35.767 | | 35.767 | ||
| [[Petr Pařízek]] (2011) | |||
|- | |- | ||
| | | [[Unicorn comma]] | ||
| Laquadbigu | | Laquadbigu | ||
| | | L8g2 | ||
| 1594323 / 1562500 | | 1594323 / 1562500 | ||
| {{ | | {{Monzo| -2 13 -8 }} | ||
| 34.905 | | 34.905 | ||
| [[Paul Erlich]] (2002) | |||
|- | |- | ||
| | | [[Valentine comma]] | ||
| Satritrigu | | Satritrigu | ||
| | | s9g3 | ||
| 1990656 / 1953125 | | 1990656 / 1953125 | ||
| {{ | | {{Monzo| 13 5 -9 }} | ||
| 32.952 | | 32.952 | ||
| [[Paul Erlich]] (2002) | |||
|- | |- | ||
| [[ | | [[Aenima comma]] | ||
| Trisa-quadbiyo | |||
| 3s8y2 | |||
| 209715200000000 / 205891132094649 | |||
| {{Monzo| 29 -30 8 }} | |||
| 31.860 | |||
| [[Douglas Blumeyer]] (2023) | |||
|- | |||
| [[Ampersand comma]], Ampersand's comma | |||
| Lala-tribiyo | | Lala-tribiyo | ||
| | | LL6y-3 | ||
| 34171875 / 33554432 | | 34171875 / 33554432 | ||
| {{ | | {{Monzo| -25 7 6 }} | ||
| 31.567 | | 31.567 | ||
| | |||
|- | |- | ||
| | | Mabila comma | ||
| Sasa-quinbigu | | Sasa-quinbigu | ||
| | | ss10g4 | ||
| 268435456 / 263671875 | | 268435456 / 263671875 | ||
| {{ | | {{Monzo| 28 -3 -10 }} | ||
| 30.998 | | 30.998 | ||
| | |||
|} | |} | ||
Line 391: | Line 486: | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cents]] | ! [[Cents]] | ||
! Named by | |||
|- | |- | ||
| | | Hexadecatone comma, 16-7-comma | ||
| Sasa-quadquadrubi | | Sasa-quadquadrubi | ||
| | | ss16r-6 | ||
| 35184372088832 / 33232930569601 | | 35184372088832 / 33232930569601 | ||
| {{ | | {{Monzo| 45 0 0 -16 }} | ||
| 98.785 | | 98.785 | ||
| | |||
|- | |||
| [[343/324|Gamelismic minor second]] | |||
| Trizo | |||
| 3z3 | |||
| 343 / 324 | |||
| {{Monzo| -2 -4 0 3 }} | |||
| 98.658 | |||
| [[User:Jerdle|Jerdle]] (2021) | |||
|- | |- | ||
| 29-7/5-comma | | 29-7/5-comma | ||
| Twenezogu | | Twenezogu | ||
| | | 29zg19 | ||
| | | <abbr title="3219905755813179726837607 / 3051757812500000000000000">(50 digits)</abbr> | ||
| {{ | | {{Monzo| -14 0 -29 29 }} | ||
| 92.854 | | 92.854 | ||
| | |||
|- | |- | ||
| 47-35-comma | | 47-35-comma | ||
| Thela-fosezoyo | | Thela-fosezoyo | ||
| | | 13L47zy6 | ||
| | | | ||
| {{ | | {{Monzo| -241 0 47 47 }} | ||
| 91.562 | | 91.562 | ||
| | |||
|- | |- | ||
| [[21/20| | | [[21/20|Septimal minor semitone]] | ||
| Zogu | | Zogu | ||
| zg2 | | zg2 | ||
| 21 / 20 | | 21 / 20 | ||
| {{ | | {{Monzo| -2 1 -1 1 }} | ||
| 84.467 | | 84.467 | ||
| | |||
|- | |- | ||
| 39-7/5-comma | | 39-7/5-comma | ||
| Thetriruyo | | Thetriruyo | ||
| 39ry-24 | |||
| | | | ||
| {{Monzo| 19 0 39 -39 }} | |||
| {{ | |||
| 82.024 | | 82.024 | ||
| | |||
|- | |- | ||
| | | 6561/6272 | ||
| Laruru | | Laruru | ||
| Lrr-2 | | Lrr-2 | ||
| 6561 / 6272 | | 6561 / 6272 | ||
| {{ | | {{Monzo| -7 8 0 -2 }} | ||
| 77.988 | | 77.988 | ||
| | |||
|- | |- | ||
| 36-7-comma | | 36-7-comma | ||
| Quinla-quadtritrizo | | Quinla-quadtritrizo | ||
| 5L36z14 | |||
| | | | ||
| {{Monzo| -101 0 0 36 }} | |||
| {{ | |||
| 77.733 | | 77.733 | ||
| | |||
|- | |- | ||
| [[392/375| | | [[392/375|Prograde comma]], ed7/4 microdiatonic comma | ||
| Zozotrigu | | Zozotrigu | ||
| | | zz3g3 | ||
| 392 / 375 | | 392 / 375 | ||
| {{ | | {{Monzo| 3 -1 -3 2 }} | ||
| 76.756 | | 76.756 | ||
| [[User:OffsuitKnave|OffsuitKnave]] (2022) | |||
|- | |- | ||
| [[256/245| | | [[256/245|Bapbo comma]] | ||
| Rurugu | | Rurugu | ||
| rrg1 | | rrg1 | ||
| 256 / 245 | | 256 / 245 | ||
| {{ | | {{Monzo| 8 0 -1 -2 }} | ||
| 76.034 | | 76.034 | ||
| [[User:Flirora|+merlan #flirora]] (2021) | |||
|- | |- | ||
| 18-21-comma | | 18-21-comma | ||
| Quinla-tritribizo | | Quinla-tritribizo | ||
| 5L18z6 | |||
| | | | ||
| {{Monzo| -79 18 0 18 }} | |||
| {{ | |||
| 74.056 | | 74.056 | ||
| | |||
|- | |- | ||
| 15-35-comma | | 15-35-comma | ||
| Quadsa-quintrirugu | | Quadsa-quintrirugu | ||
| 4s15rg-2 | |||
| | | | ||
| {{Monzo| 77 0 -15 -15 }} | |||
| {{ | |||
| 72.906 | | 72.906 | ||
| | |||
|- | |- | ||
| <strike>slendro integer cents comma</strike>{{clarify}} | | <strike>slendro integer cents comma</strike>{{clarify}} | ||
Line 473: | Line 588: | ||
| | | | ||
| | | | ||
| {{ | | {{Monzo| 1123 0 0 -400 }} | ||
| 69.637 | | 69.637 | ||
| | |||
|- | |- | ||
| 47-7-comma | | 47-7-comma | ||
| Sepsa-foseru | | Sepsa-foseru | ||
| 7s47r-17 | |||
| | | | ||
| {{Monzo| 132 0 0 -47 }} | |||
| {{ | |||
| 65.182 | | 65.182 | ||
| | |||
|- | |||
| [[8505/8192|35 large diesis]] | |||
| Lazoyo | |||
| Lzy1 | |||
| 8505 / 8192 | |||
| {{Monzo| -13 5 1 1 }} | |||
| 64.915 | |||
| [[Douglas Blumeyer]] (2024) | |||
|- | |- | ||
| 33-21-comma | | 33-21-comma | ||
| Tritrisa-letriru | | Tritrisa-letriru | ||
| 9s33r-9 | |||
| | | | ||
| {{Monzo| 145 -33 0 -33 }} | |||
| {{ | |||
| 64.23 | | 64.23 | ||
| | |||
|- | |- | ||
| [[28/27| | | [[28/27|Trienstonic comma]], septimal third-tone | ||
| Zo | | Zo | ||
| z2 | | z2 | ||
| 28 / 27 | | 28 / 27 | ||
| {{ | | {{Monzo| 2 -3 0 1 }} | ||
| 62.961 | | 62.961 | ||
| | |||
|- | |- | ||
| 31-7/5-comma | | 31-7/5-comma | ||
| Thiwezogu | | Thiwezogu | ||
| 31zg20 | |||
| | | | ||
| {{Monzo| -15 0 -31 31 }} | |||
| {{ | |||
| 57.878 | | 57.878 | ||
| | |||
|- | |||
| [[1323/1280|Septimal 2/7-tone]] | |||
| Lazozogu | |||
| Lzzg2 | |||
| 1323 / 1280 | |||
| {{Monzo| -8 3 -1 2 }} | |||
| 57.203 | |||
| [[Eliora]] (2022) | |||
|- | |- | ||
| | | [[405/392|Greenwoodma]] | ||
| Ruruyo | | Ruruyo | ||
| rry-2 | | rry-2 | ||
| 405 / 392 | | 405 / 392 | ||
| {{ | | {{Monzo| -3 4 1 -2 }} | ||
| 56.482 | | 56.482 | ||
| [[Francium]] (2023) | |||
|- | |- | ||
| 21-7-comma | | 21-7-comma | ||
| Trisa-septriru | | Trisa-septriru | ||
| | | 3s21r-8 | ||
| 576460752303423488 / 558545864083284007 | | <abbr title="576460752303423488 / 558545864083284007">(36 digits)</abbr> | ||
| {{ | | {{Monzo| 59 0 0 -21 }} | ||
| 54.656 | | 54.656 | ||
| | |||
|- | |- | ||
| [[59049/57344|Harrison's comma]] | | [[59049/57344|Harrison's comma]] | ||
Line 522: | Line 660: | ||
| Lr-2 | | Lr-2 | ||
| 59049 / 57344 | | 59049 / 57344 | ||
| {{ | | {{Monzo| -13 10 0 -1 }} | ||
| 50.724 | | 50.724 | ||
| | |||
|- | |- | ||
| 39-35-comma | | 39-35-comma | ||
| Lela-thetrizoyo | | Lela-thetrizoyo | ||
| 11L39zy5 | |||
| | | | ||
| {{Monzo| -200 0 39 39 }} | |||
| {{ | |||
| 50.445 | | 50.445 | ||
| | |||
|- | |- | ||
| | | [[1029/1000|Keega]] | ||
| Trizogu | | Trizogu | ||
| | | 3zg3 | ||
| 1029 / 1000 | | 1029 / 1000 | ||
| {{ | | {{Monzo| -3 1 -3 3 }} | ||
| 49.492 | | 49.492 | ||
| [[Gene Ward Smith]] (2005) | |||
|- | |- | ||
| [[36/35| | | [[36/35|Mint comma]], septimal quartertone | ||
| Rugu | | Rugu | ||
| rg1 | | rg1 | ||
| 36 / 35 | | 36 / 35 | ||
| {{ | | {{Monzo| 2 2 -1 -1 }} | ||
| 48.77 | | 48.77 | ||
| [[Mike Battaglia]] (2012) | |||
|- | |- | ||
| 37-7/5-comma | | 37-7/5-comma | ||
| Thiseruyo | | Thiseruyo | ||
| 37ry-23 | |||
| | | | ||
| {{Monzo| 18 0 37 -37 }} | |||
| {{ | |||
| 47.049 | | 47.049 | ||
| | |||
|- | |- | ||
| 5-21-comma | | 5-21-comma | ||
| Saquinru | | Saquinru | ||
| | | s5r-2 | ||
| 4194304 / 4084101 | | 4194304 / 4084101 | ||
| {{ | | {{Monzo| 22 -5 0 -5 }} | ||
| 46.095 | | 46.095 | ||
| | |||
|- | |||
| [[Nonary comma]] | |||
| Saquinbiru-agugu | |||
| s10ragg-4 | |||
| 7247757312 / 7061881225 | |||
| {{Monzo| 28 3 -2 -10 }} | |||
| 44.98 | |||
| [[User:Fitzgerald Lee|Fitzgerald Lee]] (2024) | |||
|- | |- | ||
| | | [[Cloudy comma]] | ||
| Laquinzo | | Laquinzo | ||
| | | L5z3 | ||
| 16807 / 16384 | | 16807 / 16384 | ||
| {{ | | {{Monzo| -14 0 0 5 }} | ||
| 44.13 | | 44.13 | ||
| [[User:Flirora|+merlan #flirora]] (2021) | |||
|- | |- | ||
| | | [[525/512|Avicennma]], Avicenna's enharmonic diesis | ||
| Lazoyoyo | | Lazoyoyo | ||
| Lzyy1 | | Lzyy1 | ||
| 525 / 512 | | 525 / 512 | ||
| {{ | | {{Monzo| -9 1 2 1 }} | ||
| 43.408 | | 43.408 | ||
| | |||
|- | |||
| [[Skwares comma]] | |||
| Laquadru | |||
| L4r-3 | |||
| 19683 / 19208 | |||
| {{monzo| -3 9 0 -4 }} | |||
| 42.291 | |||
| | |||
|- | |- | ||
| | | [[2240/2187|Septimal inframinor second]] | ||
| Sazoyo | |||
| szy2 | |||
| 2240 / 2187 | |||
| {{monzo| 6 -7 1 1 }} | |||
| 41.456 | |||
| [[User:FloraC|FloraC]] (2023) | |||
|- | |||
| [[Septimal octatonic comma]] | |||
| Lala-quadbizoyo | | Lala-quadbizoyo | ||
| | | LL8zy2 | ||
| 2251875390625 / 2199023255552 | | 2251875390625 / <br>2199023255552 | ||
| {{monzo| -41 0 8 8 }} | | {{monzo| -41 0 8 8 }} | ||
| 41.117 | | 41.117 | ||
| [[User:ArrowHead294|ArrowHead294]] (2024) | |||
|- | |- | ||
| [[ | | [[Mabilisma]] | ||
| Latrizo-aquinyo | | Latrizo-aquinyo | ||
| | | L3za5y1 | ||
| 1071875 / 1048576 | | 1071875 / 1048576 | ||
| {{ | | {{Monzo| -20 0 5 3 }} | ||
| 38.046 | | 38.046 | ||
| | |||
|- | |- | ||
| [[49/48|slendro diesis | | [[49/48|Semaphoresma]], large septimal diesis, slendro diesis | ||
| Zozo | | Zozo | ||
| zz2 | | zz2 | ||
| 49 / 48 | | 49 / 48 | ||
| {{ | | {{Monzo| -4 -1 0 2 }} | ||
| 35.697 | | 35.697 | ||
| | |||
|- | |- | ||
| [[ | | [[15625/15309|Arcturus comma]] | ||
| Larutribiyo | | Larutribiyo | ||
| | | Lr6y-2 | ||
| 15625 / 15309 | | 15625 / 15309 | ||
| {{ | | {{Monzo| 0 -7 6 -1 }} | ||
| 35.371 | | 35.371 | ||
| | |||
|- | |- | ||
| [[50/49| | | [[50/49|Jubilisma]], small septimal diesis, tritonic diesis | ||
| Biruyo | | Biruyo | ||
| | | 2ry-2 | ||
| 50 / 49 | | 50 / 49 | ||
| {{ | | {{Monzo| 1 0 2 -2 }} | ||
| 34.976 | | 34.976 | ||
| | |||
|- | |- | ||
| | | Eric | ||
| Sepru | | Sepru | ||
| | | 7r-4 | ||
| 839808 / 823543 | | 839808 / 823543 | ||
| {{ | | {{Monzo| 7 8 0 -7 }} | ||
| 33.859 | | 33.859 | ||
| | |||
|- | |- | ||
| German sixth comma | | German sixth comma | ||
| Quadla-thiwezo | | Quadla-thiwezo | ||
| 4L31z12 | |||
| | | | ||
| {{Monzo| -87 0 0 31 }} | |||
| {{ | |||
| 33.603 | | 33.603 | ||
| | |||
|- | |- | ||
| [[ | | [[Llywelynsma]], llywelyn comma | ||
| Sasepru-agu | | Sasepru-agu | ||
| | | s7rag-3 | ||
| 4194304 / 4117715 | | 4194304 / 4117715 | ||
| {{ | | {{Monzo| 22 0 -1 -7 }} | ||
| 31.905 | | 31.905 | ||
| [[User:Flirora|+merlan #flirora]] (2021) | |||
|- | |- | ||
| 23-35-comma | | 23-35-comma | ||
| Sepsa-twetherugu | | Sepsa-twetherugu | ||
| 7s23rg-3 | |||
| | | | ||
| {{Monzo| 118 0 -23 -23 }} | |||
| {{ | |||
| 31.789 | | 31.789 | ||
| | |||
|} | |} | ||
Line 645: | Line 824: | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cent]]s | ! [[Cent]]s | ||
! Named by | |||
|- | |||
| [[128/121|Axirabian limma]] | |||
| Lulubi | |||
| 1uu2 | |||
| 128 / 121 | |||
| {{monzo| 7 0 0 0 -2 }} | |||
| 97.364 | |||
| [[Dawson Berry]] (2021) | |||
|- | |- | ||
| 11-cycle major seventh prote, 35-11-comma | | 11-cycle major seventh prote, 35-11-comma | ||
| Quinla-sepquinlo | | Quinla-sepquinlo | ||
| | | 5L35(1o)-8 | ||
| | | | ||
| {{monzo| -121 0 0 0 35 }} | | {{monzo| -121 0 0 0 35 }} | ||
| 96.128 | | 96.128 | ||
| | |||
|- | |- | ||
| [[22/21| | | [[22/21|Undecimal minor semitone]] | ||
| Loru | | Loru | ||
| 1or1 | | 1or1 | ||
Line 659: | Line 848: | ||
| {{monzo| 1 -1 0 -1 1 }} | | {{monzo| 1 -1 0 -1 1 }} | ||
| 80.537 | | 80.537 | ||
| | |||
|- | |||
| [[847/810|Wormwoodma]] | |||
| Lolozogu | |||
| 1oozg2 | |||
| 847 / 810 | |||
| {{monzo| -1 -4 -1 1 2 }} | |||
| 77.328 | |||
| [[User:Jerdle|Jerdle]] (2023) | |||
|- | |- | ||
| 11-cycle chroma, 11-11-comma | | 11-cycle chroma, 11-11-comma | ||
| Lala-lelo | | Lala-lelo | ||
| | | LL11(1o)-3 | ||
| 285311670611 / 274877906944 | | 285311670611 / 274877906944 | ||
| {{monzo| -38 0 0 0 11 }} | | {{monzo| -38 0 0 0 11 }} | ||
| 64.497 | | 64.497 | ||
| | |||
|- | |- | ||
| [[729/704| | | [[729/704|Undecimal major diesis]] | ||
| Lalu | | Lalu | ||
| L1u1 | | L1u1 | ||
Line 673: | Line 872: | ||
| {{monzo| -6 6 0 0 -1 }} | | {{monzo| -6 6 0 0 -1 }} | ||
| 60.412 | | 60.412 | ||
| | |||
|- | |- | ||
| [[33/32|undecimal | | [[125/121|Jug comma]] | ||
| Lulutrityo | |||
| 1uu3y1 | |||
| 125 / 121 | |||
| {{monzo| 0 0 3 0 -2 }} | |||
| 56.305 | |||
| [[CompactStar]] (2024) | |||
|- | |||
| [[33/32|Io comma]], undecimal quartertone, al-Farabi quartertone | |||
| Ilo | | Ilo | ||
| 1o1 | | 1o1 | ||
Line 680: | Line 888: | ||
| {{monzo| -5 1 0 0 1 }} | | {{monzo| -5 1 0 0 1 }} | ||
| 53.273 | | 53.273 | ||
| [[CompactStar]] (2024) for ''io comma'' | |||
|- | |- | ||
| | | [[567/550|25·11/7 medium diesis]] | ||
| Luzogugu | |||
| 1uzgg2 | |||
| 567 / 550 | |||
| {{monzo| -1 4 -2 1 -1 }} | |||
| 52.701 | |||
| [[Douglas Blumeyer]] (2024) | |||
|- | |||
| [[Twinprimisma]] | |||
| Salelo-asepru-aquingu | |||
| s11(1o)7ra5g5 | |||
| 285311670611 / 277945762500 | |||
| {{Monzo|-2 -3 -5 -7 11}} | |||
| 45.282 | |||
| [[User:原井玉葱郎|Misohito Nakai]] (2025) | |||
|- | |||
| [[352/343|Sterno]] | |||
| Lotriru | | Lotriru | ||
| | | 1o3r-2 | ||
| 352 / 343 | | 352 / 343 | ||
| {{monzo| 5 0 0 -3 1 }} | | {{monzo| 5 0 0 -3 1 }} | ||
| 44.84 | | 44.84 | ||
| | |||
|- | |||
| [[4096/3993|Alpharabian paralimma]] | |||
| Satrilu | |||
| s3(1u)2 | |||
| 4096 / 3993 | |||
| {{monzo| 12 -1 0 0 -3 }} | |||
| 44.091 | |||
| [[Dawson Berry]] (2021) | |||
|- | |||
| [[Nokotan]], <br>Shikanokonokonokokoshitantanma | |||
| Luzoquinyo | |||
| 1uz5y1 | |||
| 21875 / 21384 | |||
| {{monzo| -3 -5 5 1 -1 }} | |||
| 39.302 | |||
| [[Budjarn Lambeth]] (2024, short name) <br>[[User:R-4981|R-4981]] (2024, long name) | |||
|- | |- | ||
| [[45/44| | | [[45/44|Undecimal 1/5-tone]], cake comma | ||
| Luyo | | Luyo | ||
| 1uy1 | | 1uy1 | ||
Line 694: | Line 936: | ||
| {{monzo| -2 2 1 0 -1 }} | | {{monzo| -2 2 1 0 -1 }} | ||
| 38.906 | | 38.906 | ||
| | |||
|- | |- | ||
| Hunt flat 5 comma | | Hunt flat 5 comma | ||
Line 701: | Line 944: | ||
| {{monzo| 13 -6 0 0 -1 }} | | {{monzo| 13 -6 0 0 -1 }} | ||
| 36.952 | | 36.952 | ||
| | |||
|- | |- | ||
| | | [[45927/45056|11/7 comma]] | ||
| Laluzo | |||
| L1uz1 | |||
| 45927 / 45056 | |||
| {{monzo| -12 8 0 1 -1 }} | |||
| 33.148 | |||
| [[Douglas Blumeyer]] (2024) | |||
|- | |||
| Igs boson, 13-11-comma | |||
| Sasa-thelu | | Sasa-thelu | ||
| | | ss13(1u)4 | ||
| 35184372088832 / 34522712143931 | | 35184372088832 / 34522712143931 | ||
| {{monzo| 45 0 0 0 -13 }} | | {{monzo| 45 0 0 0 -13 }} | ||
| 32.867 | | 32.867 | ||
| | |||
|- | |- | ||
| [[55/54| | | [[55/54|Telepathma]] | ||
| Loyo | | Loyo | ||
| 1oy1 | | 1oy1 | ||
Line 715: | Line 968: | ||
| {{monzo| -1 -3 1 0 1 }} | | {{monzo| -1 -3 1 0 1 }} | ||
| 31.767 | | 31.767 | ||
| [[Gene Ward Smith]] (2014) | |||
|- | |- | ||
| Hunt 11-cycle comma | | Hunt 11-cycle comma | ||
| Trila-quadtribilo | | Trila-quadtribilo | ||
| | | 3L24(1o)-6 | ||
| | | | ||
| {{monzo| -83 0 0 0 24 }} | | {{monzo| -83 0 0 0 24 }} | ||
| 31.631 | | 31.631 | ||
| | |||
|- | |- | ||
| [[56/55| | | [[56/55|Undecimal diesis]], konbini comma | ||
| Luzogu | | Luzogu | ||
| 1uzg2 | | 1uzg2 | ||
Line 729: | Line 984: | ||
| {{monzo| 3 0 -1 1 -1 }} | | {{monzo| 3 0 -1 1 -1 }} | ||
| 31.194 | | 31.194 | ||
| | |||
|} | |} | ||
Line 738: | Line 994: | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cent]]s | ! [[Cent]]s | ||
! Named by | |||
|- | |- | ||
| [[26/25| | | [[55/52]] | ||
| Thuloyo | |||
| 3u1oy1 | |||
| 55 / 52 | |||
| {{monzo| -2 0 1 0 1 -1 }} | |||
| 97.104 | |||
| | |||
|- | |||
| [[26/25|Large tridecimal 1/3-tone]] | |||
| Thogugu | | Thogugu | ||
| 3ogg2 | | 3ogg2 | ||
| 26 / 25 | | 26 / 25 | ||
| {{monzo| 1 0 -2 0 0 1 }} | | {{monzo| 1 0 -2 0 0 1 }} | ||
| 67. | | 67.900 | ||
| | |||
|- | |- | ||
| [[27/26| | | [[27/26|Small tridecimal 1/3-tone]] | ||
| Thu | | Thu | ||
| 3u1 | | 3u1 | ||
Line 752: | Line 1,018: | ||
| {{monzo| -1 3 0 0 0 -1 }} | | {{monzo| -1 3 0 0 0 -1 }} | ||
| 65.337 | | 65.337 | ||
| | |||
|- | |- | ||
| [[1053/1024|tridecimal | | [[65/63|Radius of tolerance (FJS)]] | ||
| Thoruyo | |||
| 3ory1 | |||
| 65 / 63 | |||
| {{monzo| 0 -2 1 -1 0 1 }} | |||
| 54.105 | |||
| | |||
|- | |||
| [[1053/1024|Superflat comma, tridecimal quartertone]], <br>Hunt minor submediant comma | |||
| Latho | | Latho | ||
| L3o1 | | L3o1 | ||
Line 759: | Line 1,034: | ||
| {{monzo| -10 4 0 0 0 1 }} | | {{monzo| -10 4 0 0 0 1 }} | ||
| 48.348 | | 48.348 | ||
| [[Flora Canou]] (2020) for ''tridecimal quartertone'' <br>[[User:CompactStar|CompactStar]] (2023) for ''superflat comma'' | |||
|- | |- | ||
| [[40/39| | | [[Tridecimal ennealimma]] | ||
| Tritritho | |||
| 9(3o)3 | |||
| 10604499373 / 10319560704 | |||
| {{monzo| -19 -9 0 0 0 9 }} | |||
| 47.154 | |||
| [[User:ArrowHead294|ArrowHead294]] (2024) | |||
|- | |||
| [[416/405]] | |||
| Thogu | |||
| 3og2 | |||
| 416 / 405 | |||
| {{monzo| 5 -4 -1 0 0 1 }} | |||
| 46.394 | |||
| | |||
|- | |||
| [[40/39|Tridecimal minor diesis]] | |||
| Thuyo | | Thuyo | ||
| 3uy1 | | 3uy1 | ||
Line 766: | Line 1,058: | ||
| {{monzo| 3 -1 1 0 0 -1 }} | | {{monzo| 3 -1 1 0 0 -1 }} | ||
| 43.831 | | 43.831 | ||
| | |||
|- | |||
| [[351/343|Keladisma]] | |||
| Thotriru | |||
| 3o3r-2 | |||
| 351/343 | |||
| {{monzo| 0 3 0 -3 0 1 }} | |||
| 39.915 | |||
| [[User:Lériendil|Lériendil]] (2024) | |||
|- | |- | ||
| | | Astbury | ||
| Latribitho | | Latribitho | ||
| | | L6(3o)2 | ||
| 4826809 / 4718592 | | 4826809 / 4718592 | ||
| {{monzo| -19 -2 0 0 0 6 }} | | {{monzo| -19 -2 0 0 0 6 }} | ||
| 39.256 | | 39.256 | ||
| [[Peter Kosmorsky]] (2012) | |||
|- | |||
| [[1701/1664|13/7 small diesis]] | |||
| Lathuzo | |||
| L3uz1 | |||
| 1701 / 1664 | |||
| {{monzo| -7 5 0 1 0 -1 }} | |||
| 38.073 | |||
| [[Douglas Blumeyer]] (2024) | |||
|} | |} | ||
Line 782: | Line 1,092: | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cent]]s | ! [[Cent]]s | ||
! Named by | |||
|- | |- | ||
| [[18/17| | | [[18/17|Small septendecimal semitone]], Arabic lute index finger | ||
| Su | | Su | ||
| 17u1 | | 17u1 | ||
Line 789: | Line 1,100: | ||
| {{monzo| 1 2 0 0 0 0 -1 }} | | {{monzo| 1 2 0 0 0 0 -1 }} | ||
| 98.955 | | 98.955 | ||
| | |||
|- | |||
| [[88/85|Septendecimal ~20edo-step]] | |||
| Sulogu | |||
| 17u1og1 | |||
| 88 / 85 | |||
| {{monzo| 3 0 -1 0 1 0 -1 }} | |||
| 60.049 | |||
| [[Budjarn Lambeth]] (2024) | |||
|- | |- | ||
| 12 semitone comma | | 12 semitone comma | ||
| Lala-quadtriso | | Lala-quadtriso | ||
| | | LL12(17o)6 | ||
| 582622237229761 / 562949953421312 | | 582622237229761 / 562949953421312 | ||
| {{monzo| -49 0 0 0 0 0 12 }} | | {{monzo| -49 0 0 0 0 0 12 }} | ||
| 59.465 | | 59.465 | ||
| | |||
|- | |- | ||
| [[34/33| | | [[34/33|Large septendecimal quartertone]] | ||
| Solu | | Solu | ||
| 17o1u2 | | 17o1u2 | ||
Line 803: | Line 1,124: | ||
| {{monzo| 1 -1 0 0 -1 0 1 }} | | {{monzo| 1 -1 0 0 -1 0 1 }} | ||
| 51.682 | | 51.682 | ||
| [[Flora Canou]] (2021) | |||
|- | |- | ||
| [[35/34| | | [[35/34|Small septendecimal quartertone]] | ||
| Suzoyo | | Suzoyo | ||
| 17uzy1 | | 17uzy1 | ||
Line 810: | Line 1,132: | ||
| {{monzo| -1 0 1 1 0 0 -1 }} | | {{monzo| -1 0 1 1 0 0 -1 }} | ||
| 50.184 | | 50.184 | ||
| [[Flora Canou]] (2021) | |||
|- | |- | ||
| 11 semitone comma | | 11 semitone comma | ||
| Sasa-lesu | | Sasa-lesu | ||
| | | ss11(17u)-5 | ||
| 35184372088832 / 34271896307633 | | 35184372088832 / 34271896307633 | ||
| {{monzo| 45 0 0 0 0 0 -11 }} | | {{monzo| 45 0 0 0 0 0 -11 }} | ||
| 45.49 | | 45.49 | ||
| | |||
|- | |- | ||
| [[51/50| | | [[51/50|Large septendecimal 1/6-tone]], 17th-partial chroma | ||
| Sogugu | | Sogugu | ||
| 17ogg2 | | 17ogg2 | ||
Line 824: | Line 1,148: | ||
| {{monzo| -1 1 -2 0 0 0 1 }} | | {{monzo| -1 1 -2 0 0 0 1 }} | ||
| 34.283 | | 34.283 | ||
| [[Flora Canou]] (2023) | |||
|- | |- | ||
| [[52/51| | | [[52/51|Small septendecimal 1/6-tone]] | ||
| Sutho | | Sutho | ||
| 17u3o1 | | 17u3o1 | ||
Line 831: | Line 1,156: | ||
| {{monzo| 2 -1 0 0 0 1 -1 }} | | {{monzo| 2 -1 0 0 0 1 -1 }} | ||
| 33.617 | | 33.617 | ||
| [[User:Xenllium|Xenllium]] (2023) | |||
|- | |- | ||
| Hunt 17-cycle comma | | Hunt 17-cycle comma | ||
| | | Quinsa-sebisu | ||
| | | 5s34(17u)-14 | ||
| | | | ||
| {{monzo| 139 0 0 0 0 0 -34 }} | | {{monzo| 139 0 0 0 0 0 -34 }} | ||
| 31.516 | | 31.516 | ||
| | |||
|} | |} | ||
Line 847: | Line 1,174: | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cent]]s | ! [[Cent]]s | ||
! Named by | |||
|- | |- | ||
| [[19/18| | | [[19/18|Large undevicesimal semitone]] | ||
| Ino | | Ino | ||
| 19o2 | | 19o2 | ||
Line 854: | Line 1,182: | ||
| {{monzo| -1 -2 0 0 0 0 0 1 }} | | {{monzo| -1 -2 0 0 0 0 0 1 }} | ||
| 93.603 | | 93.603 | ||
| [[User:Xenllium|Xenllium]] (2019) | |||
|- | |- | ||
| [[20/19| | | [[20/19|Small undevicesimal semitone]] | ||
| Nuyo | | Nuyo | ||
| 19uy1 | | 19uy1 | ||
Line 861: | Line 1,190: | ||
| {{monzo| 2 0 1 0 0 0 0 -1 }} | | {{monzo| 2 0 1 0 0 0 0 -1 }} | ||
| 88.801 | | 88.801 | ||
| [[User:Xenllium|Xenllium]] (2019) | |||
|- | |- | ||
| | | [[39/38|Undevicesimal diesis]], undevicesimal 2/9-tone | ||
| Nutho | | Nutho | ||
| 19u3o1 | | 19u3o1 | ||
Line 868: | Line 1,198: | ||
| {{monzo| -1 1 0 0 0 1 0 -1 }} | | {{monzo| -1 1 0 0 0 1 0 -1 }} | ||
| 44.97 | | 44.97 | ||
| [[User:Xenllium|Xenllium]] (2023) | |||
|- | |- | ||
| [[57/56| | | [[57/56|Hendrix comma]] | ||
| Noru | | Noru | ||
| 19or1 | | 19or1 | ||
Line 875: | Line 1,206: | ||
| {{monzo| -3 1 0 -1 0 0 0 1 }} | | {{monzo| -3 1 0 -1 0 0 0 1 }} | ||
| 30.642 | | 30.642 | ||
| | |||
|} | |} | ||
Line 884: | Line 1,216: | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cent]]s | ! [[Cent]]s | ||
! Named by | |||
|- | |||
| [[23/22|Large vicesimotertial semitone]] | |||
| Twetholu | |||
| 23o1u2 | |||
| 23 / 22 | |||
| 2.11.23 {{monzo| -1 -1 1 }} | |||
| 76.956 | |||
| [[Xenwolf]] (2020) | |||
|- | |||
| [[24/23|Small vicesimotertial semitone]] | |||
| Twethu | |||
| 23u1 | |||
| 24 / 23 | |||
| 2.3.23 {{monzo| 3 1 -1 }} | |||
| 73.681 | |||
| [[Xenwolf]] (2020) | |||
|- | |||
| [[299/289|Undecimisma]] | |||
| Twethosusutho | |||
| 23o17uu3o1 | |||
| 299 / 289 | |||
| 13.17.23 {{monzo| 1 -2 1 }} | |||
| 58.891 | |||
| [[User:Inisil|Inisil]] (2024) | |||
|- | |||
| [[2187/2116|Lipsett comma]] | |||
| Labitwethu | |||
| L23uu-2 | |||
| 2187 / 2116 | |||
| 2.3.23 {{monzo| -2 7 -2 }} | |||
| 57.136 | |||
| [[Budjarn Lambeth]] (2024) | |||
|- | |- | ||
| [[23/ | | [[46/45|Vicesimotertial 1/5-tone]] | ||
| Twethogu | |||
| 23og2 | |||
| 46 / 45 | |||
| 2.3.5.23 {{monzo| 1 -2 -1 1 }} | |||
| 38.051 | |||
| [[User:Flirora|Flirora]] (2023) | |||
|} | |||
=== Higher-limit commas === | |||
{| class="wikitable" | |||
! Name(s) | |||
! colspan="2" | [[Color name]] | |||
! Ratio | |||
! Monzo | |||
! Cents | |||
! Named by | |||
|- | |||
| [[41/39]] | |||
| Fowothu | |||
| 41o3u1 | |||
| 41 / 39 | |||
| 3.13.41 {{monzo| -1 -1 1 }} | |||
| 86.580 | |||
| | |||
|- | |||
| [[32/31|Octave-reduced 31st subharmonic]] | |||
| Thiwu | |||
| 31u2 | |||
| 32 / 31 | |||
| 2.31 {{monzo| 5 -1 }} | |||
| 54.964 | |||
| | | | ||
|- | |||
| [[752/729|47-limit ~quartertone comma]] | |||
| Safoso | |||
| s47o2 | |||
| 752 / 729 | |||
| 2.3.47 {{monzo| 4 -6 1 }} | |||
| 53.777 | |||
| [[Stephen Weigel]] (2023) | |||
|- | |||
| [[37/36|37-limit Wyschnegradsky ~quartertone]] | |||
| Thiso | |||
| 37o2 | |||
| 37 / 36 | |||
| 2.3.37 {{monzo| -2 -2 1 }} | |||
| 47.434 | |||
| [[Stephen Weigel]] (2023) | |||
|- | |||
| [[729/712|Oxidizer comma]] | |||
| | | | ||
| | | | ||
| {{monzo| -1 | | 729 / 712 | ||
| | | 2.3.89 {{monzo| -3 6 -1 }} | ||
| 40.850 | |||
| [[Budjarn Lambeth]] (2023) | |||
|- | |||
| [[43/42]] | |||
| Fothoru | |||
| 43or1 | |||
| 43 / 42 | |||
| 2.3.7.43 {{monzo| -1 -1 -1 1 }} | |||
| 40.737 | |||
| | |||
|- | |||
| [[Lutra comma]] | |||
| Latrithiwo | |||
| L3(31o)-3 | |||
| 268119 / 262144 | |||
| 2.3.31 {{monzo| -18 2 3 }} | |||
| 39.017 | |||
| [[Budjarn Lambeth]] (2024) | |||
|- | |||
| [[1000/979|Canine comma]] | |||
| | |||
| | |||
| 1000 / 979 | |||
| 2.5.11.89 {{monzo| 3 3 -1 -1 }} | |||
| 36.743 | |||
| [[Budjarn Lambeth]] (2023) | |||
|- | |||
| [[48/47|47th-partial chroma]] | |||
| Fosu | |||
| 47u1 | |||
| 48 / 47 | |||
| 2.3.47 {{monzo| 4 1 -1 }} | |||
| 36.448 | |||
| | |||
|- | |||
| [[248/243|Tricesimoprimal comma]] | |||
| Sathiwo | |||
| s31o1 | |||
| 248 / 243 | |||
| 2.3.31 {{monzo| 3 -5 1 }} | |||
| 35.261 | |||
| | |||
|- | |||
| [[261/256|Vicesimononal comma]] | |||
| Tweno | |||
| 29o1 | |||
| 261 / 256 | |||
| 2.3.29 {{monzo| -8 2 1 }} | |||
| 33.487 | |||
| [[Stephen Weigel]] (2023) | |||
|- | |- | ||
| [[ | | [[7921/7776|Attic comma]] | ||
| | | | ||
| | | | ||
| | | 7921 / 7776 | ||
| {{monzo| 3 1 | | 2.3.89 {{monzo| -5 -5 2 }} | ||
| | | 31.985 | ||
| [[Budjarn Lambeth]] (2023) | |||
|- | |||
| [[58/57|Vicesimononal 1/7-tone]] | |||
| Twenonu | |||
| 29o19u1 | |||
| 58 / 57 | |||
| 2.3.19.29 {{monzo| 1 -1 -1 1 }} | |||
| 30.109 | |||
| | |||
|} | |||
== List of irrational commas == | |||
For intervals expressible as edosteps, see [[Interval size measure]]. We skip them here for brevity. | |||
{| class="wikitable" | |||
! Name(s) | |||
! colspan="2" | [[Color name]] | |||
! Ratio | |||
! Monzo | |||
! Cents | |||
! Named by | |||
|- | |- | ||
| [[ | | [[Engineer's comma]] | ||
| | | | ||
| | | | ||
| | | π / 3 | ||
| | | | ||
| | | 79.840 | ||
| [[Eliora]] (2022) | |||
|} | |} | ||
[[Category:Medium commas| ]] | == Notes == | ||
[[Category:Lists of | |||
< | [[Category:Medium commas| ]] <!-- main article --> | ||
[[Category:Lists of commas]] | |||
{{todo|complete table|add color name}} | |||
<references /> |
Latest revision as of 06:05, 31 July 2025
A medium comma is a comma whose size is approximately between 30 and 100 cents. These commas are easily perceptible. Many schools do not consider them true commas. In Sagittal notation, intervals in the smaller part of this category are dieses, and intervals in the larger part of this category are semitones[1].
For commas over 100 cents, see Large comma; for commas under 30 cents, see Small comma; for such under 3.5 cents see Unnoticeable comma.
Except for the 3-limit commas, the color name refers to both the comma and the temperament created when it is tempered out.
The commas might be numerous, but there is no need to memorise all the names. For pretty much all use cases, it is perfectly acceptable – preferred, even – to just refer to a comma by the monzo or ratio, whichever is simpler.
List of commas, by prime limit
3-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Pythagorean limma, blackwood comma | Sawa | sw2 | 256 / 243 | [8 -5⟩ | 90.225 | |
301-comma | Wa-301 | w-301 | [-477 301⟩ | 88.455 | ||
248-comma | Wa-248 | w-248 | [-393 248⟩ | 84.840 | ||
111-comma | Wa-111 | w-111 | [176 -111⟩ | 82.995 | ||
142-comma | Wa-142 | w-142 | [-225 142⟩ | 77.610 | ||
217-comma | Wa-217 | w-217 | [344 -217⟩ | 75.765 | ||
89-comma | Wa-89 | w-89 | [-141 89⟩ | 73.995 | ||
Gothic comma, Pythagorean gothma, 17-comma | Wa-17 | ssw3 | 134217728 / 129140163 | [27 -17⟩ | 66.765 | Flora Canou (2023) for Pyth. gothma and gothic comma |
289-comma | Wa-289 | w-289 | [-458 289⟩ | 64.995 | ||
70-comma | Wa-70 | w-70 | [111 -70⟩ | 63.150 | ||
183-comma | Wa-183 | w-183 | [-290 183⟩ | 57.765 | ||
176-comma | Wa-176 | w-176 | [279 -176⟩ | 55.920 | ||
229-comma | Wa-229 | w-229 | [363 -229⟩ | 52.305 | ||
77-comma | Wa-77 | w-77 | [-122 77⟩ | 50.535 | ||
Mystery comma, 29-comma | Wa-29 | w-29 | 70368744177664 / 68630377364883 | [46 -29⟩ | 43.305 | |
277-comma | Wa-277 | w-277 | [-439 277⟩ | 41.535 | ||
224-comma | Wa-224 | w-224 | [-355 224⟩ | 37.920 | ||
135-comma | Wa-135 | w-135 | [214 -135⟩ | 36.075 | ||
171-comma | Wa-171 | w-171 | [-271 171⟩ | 34.305 | ||
118-comma | Wa-118 | w-118 | [-187 118⟩ | 30.690 |
5-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Hogzilla comma | Lala-yoyo | LLyy-2 | 4428675 / 4194304 | [-22 11 2⟩ | 94.132 | |
Mavila comma, major chroma | Layobi | Ly1 | 135 / 128 | [-7 3 1⟩ | 92.179 | |
Quasisuper comma | Sasagu | ssg3 | 8388608 / 7971615 | [23 -13 -1⟩ | 88.271 | |
Bohpier comma, 13edt comma | Satheyo | s13y-2 | 1220703125 / 1162261467 | [0 -19 13⟩ | 84.933 | |
Ripple comma | Quingu | 5g2 | 6561 / 6250 | [-1 8 -5⟩ | 84.071 | |
Dodecoid comma | Sasa-sepgu | ss7g4 | 536870912 / 512578125 | [29 -8 -7⟩ | 80.164 | CompactStar (2023) |
Doublewide comma | Quadbiyo | 8y-2 | 390625 / 373248 | [-9 -6 8⟩ | 78.78 | |
Sevond comma | Sasepyo | s7y1 | 5000000 / 4782969 | [6 -14 7⟩ | 76.826 | Petr Pařízek (2011) |
Nusecond comma | Legu | 11g3 | 51018336 / 48828125 | [5 13 -11⟩ | 75.964 | |
Sentinel comma | Trila-quadyo | 3L4y-3 | 8968066875 / 8589934592 | [-33 15 4⟩ | 74.580 | |
Hypovishnuzma | Saquadtrigu | s12g4 | 254803968 / 244140625 | [20 5 -12⟩ | 74.010 | ArrowHead294 (2024) |
Stump comma | Latriyo | L3y-2 | 273375 / 262144 | [-18 7 3⟩ | 72.626 | |
Dicot comma, classic(al) chroma | Yoyo | yy1 | 25 / 24 | [-3 -1 2⟩ | 70.672 | |
Superpyth comma, grave minor second | Sayo | sy2 | 20480 / 19683 | [12 -9 1⟩ | 68.719 | |
Diminished comma, major diesis | Quadgu | 4g2 | 648 / 625 | [3 4 -4⟩ | 62.565 | Paul Erlich, Carl Lumma (2002) |
Passion comma | Saquingu | s5g3 | 262144 / 253125 | [18 -4 -5⟩ | 60.611 | Paul Erlich (2004) |
Shibboleth comma | Tritriyo | 9y-2 | 1953125 / 1889568 | [-5 -10 9⟩ | 57.273 | Paul Erlich (2002) |
Mynic comma | Quinbigu | 10g3 | 10077696 / 9765625 | [9 9 -10⟩ | 54.458 | |
Tritonic comma | Lala-quinyo | LL5y-3 | 553584375 / 536870912 | [-29 11 5⟩ | 53.074 | |
Magus comma | Salegu | s11g4 | 50331648 / 48828125 | [24 1 -11⟩ | 52.504 | ArrowHead294 (2024) |
Negri comma, double augmentation diesis | Laquadyo | L4y-2 | 16875 / 16384 | [-14 3 4⟩ | 51.120 | Paul Erlich (2002) |
Goldis comma | Trisa-quadtrigu | 3s12g5 | 549755813888 / 533935546875 | [39 -7 -12⟩ | 50.550 | Userminusone (2021) |
Porcupine comma, maximal diesis | Triyo | 3y1 | 250 / 243 | [1 -5 3⟩ | 49.166 | Herman Miller (1999) |
Mowgli comma, 15edt comma | Laquintrigu | L15g3 | 31381059609 / 30517578125 |
[0 22 -15⟩ | 48.304 | |
Immunity comma | Sasa-yoyo | ssyy2 | 1638400 / 1594323 | [16 -13 2⟩ | 47.212 | Mike Battaglia (2011) |
Python comma | Lalagu | LLg-2 | 43046721 / 41943040 | [-23 16 -1⟩ | 44.966 | CompactStar (2023) |
Augmented comma, diesis | Trigu | 3g2 | 128 / 125 | [7 0 -3⟩ | 41.059 | Paul Erlich, Carl Lumma (2002) |
Wizard comma | Lala-quadtriyo | LL12y-4 | 2197265625 / 2147483648 | [-31 2 12⟩ | 39.675 | |
Sycamore comma | Laleyo | L11y-3 | 48828125 / 47775744 | [-16 -6 11⟩ | 37.721 | Paul Erlich (2002) |
Absurdity comma | Lala-sepgu | LL7g1 | 10460353203 / 10240000000 |
[-17 21 -7⟩ | 36.859 | Mike Battaglia (2011) |
Fifive comma | Saquinbiyo | s10y-2 | 9765625 / 9565938 | [-1 -14 10⟩ | 35.767 | Petr Pařízek (2011) |
Unicorn comma | Laquadbigu | L8g2 | 1594323 / 1562500 | [-2 13 -8⟩ | 34.905 | Paul Erlich (2002) |
Valentine comma | Satritrigu | s9g3 | 1990656 / 1953125 | [13 5 -9⟩ | 32.952 | Paul Erlich (2002) |
Aenima comma | Trisa-quadbiyo | 3s8y2 | 209715200000000 / 205891132094649 | [29 -30 8⟩ | 31.860 | Douglas Blumeyer (2023) |
Ampersand comma, Ampersand's comma | Lala-tribiyo | LL6y-3 | 34171875 / 33554432 | [-25 7 6⟩ | 31.567 | |
Mabila comma | Sasa-quinbigu | ss10g4 | 268435456 / 263671875 | [28 -3 -10⟩ | 30.998 |
7-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Hexadecatone comma, 16-7-comma | Sasa-quadquadrubi | ss16r-6 | 35184372088832 / 33232930569601 | [45 0 0 -16⟩ | 98.785 | |
Gamelismic minor second | Trizo | 3z3 | 343 / 324 | [-2 -4 0 3⟩ | 98.658 | Jerdle (2021) |
29-7/5-comma | Twenezogu | 29zg19 | (50 digits) | [-14 0 -29 29⟩ | 92.854 | |
47-35-comma | Thela-fosezoyo | 13L47zy6 | [-241 0 47 47⟩ | 91.562 | ||
Septimal minor semitone | Zogu | zg2 | 21 / 20 | [-2 1 -1 1⟩ | 84.467 | |
39-7/5-comma | Thetriruyo | 39ry-24 | [19 0 39 -39⟩ | 82.024 | ||
6561/6272 | Laruru | Lrr-2 | 6561 / 6272 | [-7 8 0 -2⟩ | 77.988 | |
36-7-comma | Quinla-quadtritrizo | 5L36z14 | [-101 0 0 36⟩ | 77.733 | ||
Prograde comma, ed7/4 microdiatonic comma | Zozotrigu | zz3g3 | 392 / 375 | [3 -1 -3 2⟩ | 76.756 | OffsuitKnave (2022) |
Bapbo comma | Rurugu | rrg1 | 256 / 245 | [8 0 -1 -2⟩ | 76.034 | +merlan #flirora (2021) |
18-21-comma | Quinla-tritribizo | 5L18z6 | [-79 18 0 18⟩ | 74.056 | ||
15-35-comma | Quadsa-quintrirugu | 4s15rg-2 | [77 0 -15 -15⟩ | 72.906 | ||
[1123 0 0 -400⟩ | 69.637 | |||||
47-7-comma | Sepsa-foseru | 7s47r-17 | [132 0 0 -47⟩ | 65.182 | ||
35 large diesis | Lazoyo | Lzy1 | 8505 / 8192 | [-13 5 1 1⟩ | 64.915 | Douglas Blumeyer (2024) |
33-21-comma | Tritrisa-letriru | 9s33r-9 | [145 -33 0 -33⟩ | 64.23 | ||
Trienstonic comma, septimal third-tone | Zo | z2 | 28 / 27 | [2 -3 0 1⟩ | 62.961 | |
31-7/5-comma | Thiwezogu | 31zg20 | [-15 0 -31 31⟩ | 57.878 | ||
Septimal 2/7-tone | Lazozogu | Lzzg2 | 1323 / 1280 | [-8 3 -1 2⟩ | 57.203 | Eliora (2022) |
Greenwoodma | Ruruyo | rry-2 | 405 / 392 | [-3 4 1 -2⟩ | 56.482 | Francium (2023) |
21-7-comma | Trisa-septriru | 3s21r-8 | (36 digits) | [59 0 0 -21⟩ | 54.656 | |
Harrison's comma | Laru | Lr-2 | 59049 / 57344 | [-13 10 0 -1⟩ | 50.724 | |
39-35-comma | Lela-thetrizoyo | 11L39zy5 | [-200 0 39 39⟩ | 50.445 | ||
Keega | Trizogu | 3zg3 | 1029 / 1000 | [-3 1 -3 3⟩ | 49.492 | Gene Ward Smith (2005) |
Mint comma, septimal quartertone | Rugu | rg1 | 36 / 35 | [2 2 -1 -1⟩ | 48.77 | Mike Battaglia (2012) |
37-7/5-comma | Thiseruyo | 37ry-23 | [18 0 37 -37⟩ | 47.049 | ||
5-21-comma | Saquinru | s5r-2 | 4194304 / 4084101 | [22 -5 0 -5⟩ | 46.095 | |
Nonary comma | Saquinbiru-agugu | s10ragg-4 | 7247757312 / 7061881225 | [28 3 -2 -10⟩ | 44.98 | Fitzgerald Lee (2024) |
Cloudy comma | Laquinzo | L5z3 | 16807 / 16384 | [-14 0 0 5⟩ | 44.13 | +merlan #flirora (2021) |
Avicennma, Avicenna's enharmonic diesis | Lazoyoyo | Lzyy1 | 525 / 512 | [-9 1 2 1⟩ | 43.408 | |
Skwares comma | Laquadru | L4r-3 | 19683 / 19208 | [-3 9 0 -4⟩ | 42.291 | |
Septimal inframinor second | Sazoyo | szy2 | 2240 / 2187 | [6 -7 1 1⟩ | 41.456 | FloraC (2023) |
Septimal octatonic comma | Lala-quadbizoyo | LL8zy2 | 2251875390625 / 2199023255552 |
[-41 0 8 8⟩ | 41.117 | ArrowHead294 (2024) |
Mabilisma | Latrizo-aquinyo | L3za5y1 | 1071875 / 1048576 | [-20 0 5 3⟩ | 38.046 | |
Semaphoresma, large septimal diesis, slendro diesis | Zozo | zz2 | 49 / 48 | [-4 -1 0 2⟩ | 35.697 | |
Arcturus comma | Larutribiyo | Lr6y-2 | 15625 / 15309 | [0 -7 6 -1⟩ | 35.371 | |
Jubilisma, small septimal diesis, tritonic diesis | Biruyo | 2ry-2 | 50 / 49 | [1 0 2 -2⟩ | 34.976 | |
Eric | Sepru | 7r-4 | 839808 / 823543 | [7 8 0 -7⟩ | 33.859 | |
German sixth comma | Quadla-thiwezo | 4L31z12 | [-87 0 0 31⟩ | 33.603 | ||
Llywelynsma, llywelyn comma | Sasepru-agu | s7rag-3 | 4194304 / 4117715 | [22 0 -1 -7⟩ | 31.905 | +merlan #flirora (2021) |
23-35-comma | Sepsa-twetherugu | 7s23rg-3 | [118 0 -23 -23⟩ | 31.789 |
11-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Axirabian limma | Lulubi | 1uu2 | 128 / 121 | [7 0 0 0 -2⟩ | 97.364 | Dawson Berry (2021) |
11-cycle major seventh prote, 35-11-comma | Quinla-sepquinlo | 5L35(1o)-8 | [-121 0 0 0 35⟩ | 96.128 | ||
Undecimal minor semitone | Loru | 1or1 | 22 / 21 | [1 -1 0 -1 1⟩ | 80.537 | |
Wormwoodma | Lolozogu | 1oozg2 | 847 / 810 | [-1 -4 -1 1 2⟩ | 77.328 | Jerdle (2023) |
11-cycle chroma, 11-11-comma | Lala-lelo | LL11(1o)-3 | 285311670611 / 274877906944 | [-38 0 0 0 11⟩ | 64.497 | |
Undecimal major diesis | Lalu | L1u1 | 729 / 704 | [-6 6 0 0 -1⟩ | 60.412 | |
Jug comma | Lulutrityo | 1uu3y1 | 125 / 121 | [0 0 3 0 -2⟩ | 56.305 | CompactStar (2024) |
Io comma, undecimal quartertone, al-Farabi quartertone | Ilo | 1o1 | 33 / 32 | [-5 1 0 0 1⟩ | 53.273 | CompactStar (2024) for io comma |
25·11/7 medium diesis | Luzogugu | 1uzgg2 | 567 / 550 | [-1 4 -2 1 -1⟩ | 52.701 | Douglas Blumeyer (2024) |
Twinprimisma | Salelo-asepru-aquingu | s11(1o)7ra5g5 | 285311670611 / 277945762500 | [-2 -3 -5 -7 11⟩ | 45.282 | Misohito Nakai (2025) |
Sterno | Lotriru | 1o3r-2 | 352 / 343 | [5 0 0 -3 1⟩ | 44.84 | |
Alpharabian paralimma | Satrilu | s3(1u)2 | 4096 / 3993 | [12 -1 0 0 -3⟩ | 44.091 | Dawson Berry (2021) |
Nokotan, Shikanokonokonokokoshitantanma |
Luzoquinyo | 1uz5y1 | 21875 / 21384 | [-3 -5 5 1 -1⟩ | 39.302 | Budjarn Lambeth (2024, short name) R-4981 (2024, long name) |
Undecimal 1/5-tone, cake comma | Luyo | 1uy1 | 45 / 44 | [-2 2 1 0 -1⟩ | 38.906 | |
Hunt flat 5 comma | Salu | s1u2 | 8192 / 8019 | [13 -6 0 0 -1⟩ | 36.952 | |
11/7 comma | Laluzo | L1uz1 | 45927 / 45056 | [-12 8 0 1 -1⟩ | 33.148 | Douglas Blumeyer (2024) |
Igs boson, 13-11-comma | Sasa-thelu | ss13(1u)4 | 35184372088832 / 34522712143931 | [45 0 0 0 -13⟩ | 32.867 | |
Telepathma | Loyo | 1oy1 | 55 / 54 | [-1 -3 1 0 1⟩ | 31.767 | Gene Ward Smith (2014) |
Hunt 11-cycle comma | Trila-quadtribilo | 3L24(1o)-6 | [-83 0 0 0 24⟩ | 31.631 | ||
Undecimal diesis, konbini comma | Luzogu | 1uzg2 | 56 / 55 | [3 0 -1 1 -1⟩ | 31.194 |
13-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
55/52 | Thuloyo | 3u1oy1 | 55 / 52 | [-2 0 1 0 1 -1⟩ | 97.104 | |
Large tridecimal 1/3-tone | Thogugu | 3ogg2 | 26 / 25 | [1 0 -2 0 0 1⟩ | 67.900 | |
Small tridecimal 1/3-tone | Thu | 3u1 | 27 / 26 | [-1 3 0 0 0 -1⟩ | 65.337 | |
Radius of tolerance (FJS) | Thoruyo | 3ory1 | 65 / 63 | [0 -2 1 -1 0 1⟩ | 54.105 | |
Superflat comma, tridecimal quartertone, Hunt minor submediant comma |
Latho | L3o1 | 1053 / 1024 | [-10 4 0 0 0 1⟩ | 48.348 | Flora Canou (2020) for tridecimal quartertone CompactStar (2023) for superflat comma |
Tridecimal ennealimma | Tritritho | 9(3o)3 | 10604499373 / 10319560704 | [-19 -9 0 0 0 9⟩ | 47.154 | ArrowHead294 (2024) |
416/405 | Thogu | 3og2 | 416 / 405 | [5 -4 -1 0 0 1⟩ | 46.394 | |
Tridecimal minor diesis | Thuyo | 3uy1 | 40 / 39 | [3 -1 1 0 0 -1⟩ | 43.831 | |
Keladisma | Thotriru | 3o3r-2 | 351/343 | [0 3 0 -3 0 1⟩ | 39.915 | Lériendil (2024) |
Astbury | Latribitho | L6(3o)2 | 4826809 / 4718592 | [-19 -2 0 0 0 6⟩ | 39.256 | Peter Kosmorsky (2012) |
13/7 small diesis | Lathuzo | L3uz1 | 1701 / 1664 | [-7 5 0 1 0 -1⟩ | 38.073 | Douglas Blumeyer (2024) |
17-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Small septendecimal semitone, Arabic lute index finger | Su | 17u1 | 18 / 17 | [1 2 0 0 0 0 -1⟩ | 98.955 | |
Septendecimal ~20edo-step | Sulogu | 17u1og1 | 88 / 85 | [3 0 -1 0 1 0 -1⟩ | 60.049 | Budjarn Lambeth (2024) |
12 semitone comma | Lala-quadtriso | LL12(17o)6 | 582622237229761 / 562949953421312 | [-49 0 0 0 0 0 12⟩ | 59.465 | |
Large septendecimal quartertone | Solu | 17o1u2 | 34 / 33 | [1 -1 0 0 -1 0 1⟩ | 51.682 | Flora Canou (2021) |
Small septendecimal quartertone | Suzoyo | 17uzy1 | 35 / 34 | [-1 0 1 1 0 0 -1⟩ | 50.184 | Flora Canou (2021) |
11 semitone comma | Sasa-lesu | ss11(17u)-5 | 35184372088832 / 34271896307633 | [45 0 0 0 0 0 -11⟩ | 45.49 | |
Large septendecimal 1/6-tone, 17th-partial chroma | Sogugu | 17ogg2 | 51 / 50 | [-1 1 -2 0 0 0 1⟩ | 34.283 | Flora Canou (2023) |
Small septendecimal 1/6-tone | Sutho | 17u3o1 | 52 / 51 | [2 -1 0 0 0 1 -1⟩ | 33.617 | Xenllium (2023) |
Hunt 17-cycle comma | Quinsa-sebisu | 5s34(17u)-14 | [139 0 0 0 0 0 -34⟩ | 31.516 |
19-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Large undevicesimal semitone | Ino | 19o2 | 19 / 18 | [-1 -2 0 0 0 0 0 1⟩ | 93.603 | Xenllium (2019) |
Small undevicesimal semitone | Nuyo | 19uy1 | 20 / 19 | [2 0 1 0 0 0 0 -1⟩ | 88.801 | Xenllium (2019) |
Undevicesimal diesis, undevicesimal 2/9-tone | Nutho | 19u3o1 | 39 / 38 | [-1 1 0 0 0 1 0 -1⟩ | 44.97 | Xenllium (2023) |
Hendrix comma | Noru | 19or1 | 57 / 56 | [-3 1 0 -1 0 0 0 1⟩ | 30.642 |
23-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Large vicesimotertial semitone | Twetholu | 23o1u2 | 23 / 22 | 2.11.23 [-1 -1 1⟩ | 76.956 | Xenwolf (2020) |
Small vicesimotertial semitone | Twethu | 23u1 | 24 / 23 | 2.3.23 [3 1 -1⟩ | 73.681 | Xenwolf (2020) |
Undecimisma | Twethosusutho | 23o17uu3o1 | 299 / 289 | 13.17.23 [1 -2 1⟩ | 58.891 | Inisil (2024) |
Lipsett comma | Labitwethu | L23uu-2 | 2187 / 2116 | 2.3.23 [-2 7 -2⟩ | 57.136 | Budjarn Lambeth (2024) |
Vicesimotertial 1/5-tone | Twethogu | 23og2 | 46 / 45 | 2.3.5.23 [1 -2 -1 1⟩ | 38.051 | Flirora (2023) |
Higher-limit commas
Name(s) | Color name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
41/39 | Fowothu | 41o3u1 | 41 / 39 | 3.13.41 [-1 -1 1⟩ | 86.580 | |
Octave-reduced 31st subharmonic | Thiwu | 31u2 | 32 / 31 | 2.31 [5 -1⟩ | 54.964 | |
47-limit ~quartertone comma | Safoso | s47o2 | 752 / 729 | 2.3.47 [4 -6 1⟩ | 53.777 | Stephen Weigel (2023) |
37-limit Wyschnegradsky ~quartertone | Thiso | 37o2 | 37 / 36 | 2.3.37 [-2 -2 1⟩ | 47.434 | Stephen Weigel (2023) |
Oxidizer comma | 729 / 712 | 2.3.89 [-3 6 -1⟩ | 40.850 | Budjarn Lambeth (2023) | ||
43/42 | Fothoru | 43or1 | 43 / 42 | 2.3.7.43 [-1 -1 -1 1⟩ | 40.737 | |
Lutra comma | Latrithiwo | L3(31o)-3 | 268119 / 262144 | 2.3.31 [-18 2 3⟩ | 39.017 | Budjarn Lambeth (2024) |
Canine comma | 1000 / 979 | 2.5.11.89 [3 3 -1 -1⟩ | 36.743 | Budjarn Lambeth (2023) | ||
47th-partial chroma | Fosu | 47u1 | 48 / 47 | 2.3.47 [4 1 -1⟩ | 36.448 | |
Tricesimoprimal comma | Sathiwo | s31o1 | 248 / 243 | 2.3.31 [3 -5 1⟩ | 35.261 | |
Vicesimononal comma | Tweno | 29o1 | 261 / 256 | 2.3.29 [-8 2 1⟩ | 33.487 | Stephen Weigel (2023) |
Attic comma | 7921 / 7776 | 2.3.89 [-5 -5 2⟩ | 31.985 | Budjarn Lambeth (2023) | ||
Vicesimononal 1/7-tone | Twenonu | 29o19u1 | 58 / 57 | 2.3.19.29 [1 -1 -1 1⟩ | 30.109 |
List of irrational commas
For intervals expressible as edosteps, see Interval size measure. We skip them here for brevity.
Name(s) | Color name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Engineer's comma | π / 3 | 79.840 | Eliora (2022) |