Medium comma: Difference between revisions
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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]]. | ||
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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. | ||
==List of commas, by prime limit== | 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. | ||
===3-limit commas=== | |||
== List of commas, by prime limit == | |||
=== 3-limit commas === | |||
{{See also| Table of 3-limit commas }} | |||
{| class="wikitable" | {| class="wikitable" | ||
!Name(s) | ! Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
![[Ratio]] | ! [[Ratio]] | ||
![[Monzo]] | ! [[Monzo]] | ||
![[Cents]] | ! [[Cents]] | ||
! Named by | |||
|- | |||
| [[256/243|Pythagorean limma]], blackwood comma | |||
| Sawa | |||
| sw2 | |||
| 256 / 243 | |||
| {{monzo| 8 -5 }} | |||
| 90.225 | |||
| | |||
|- | |||
| 301-comma | |||
| Wa-301 | |||
| w-301 | |||
| | |||
| {{monzo| -477 301 }} | |||
| 88.455 | |||
| | |||
|- | |||
| 248-comma | |||
| Wa-248 | |||
| w-248 | |||
| | |||
| {{monzo| -393 248 }} | |||
| 84.840 | |||
| | |||
|- | |||
| 111-comma | |||
| Wa-111 | |||
| w-111 | |||
| | |||
| {{monzo| 176 -111 }} | |||
| 82.995 | |||
| | |||
|- | |||
| 142-comma | |||
| Wa-142 | |||
| w-142 | |||
| | |||
| {{monzo| -225 142 }} | |||
| 77.610 | |||
| | |||
|- | |||
| 217-comma | |||
| Wa-217 | |||
| w-217 | |||
| | |||
| {{monzo| 344 -217 }} | |||
| 75.765 | |||
| | |||
|- | |||
| 89-comma | |||
| Wa-89 | |||
| w-89 | |||
| | |||
| {{monzo| -141 89 }} | |||
| 73.995 | |||
| | |||
|- | |||
| [[Gothic comma]], Pythagorean gothma, 17-comma | |||
| Wa-17 | |||
| ssw3 | |||
| 134217728 / 129140163 | |||
| {{monzo| 27 -17 }} | |||
| 66.765 | |||
| [[Flora Canou]] (2023) for ''Pyth. gothma'' and ''gothic comma'' | |||
|- | |||
| 289-comma | |||
| Wa-289 | |||
| w-289 | |||
| | |||
| {{monzo| -458 289 }} | |||
| 64.995 | |||
| | |||
|- | |- | ||
| | | 70-comma | ||
| | | Wa-70 | ||
| | | w-70 | ||
| | | | ||
|{{monzo| | | {{monzo| 111 -70 }} | ||
| | | 63.150 | ||
| | |||
|- | |- | ||
| | | 183-comma | ||
| | | Wa-183 | ||
| | | w-183 | ||
| | | | ||
|{{monzo| | | {{monzo| -290 183 }} | ||
| | | 57.765 | ||
| | |||
|- | |- | ||
| | | 176-comma | ||
| | | Wa-176 | ||
|w- | | w-176 | ||
| | | | ||
|{{monzo| | | {{monzo| 279 -176 }} | ||
| | | 55.920 | ||
| | |||
|- | |- | ||
| | | 229-comma | ||
| | | Wa-229 | ||
|w- | | w-229 | ||
| | | | ||
|{{monzo| | | {{monzo| 363 -229 }} | ||
| | | 52.305 | ||
| | |||
|- | |- | ||
|77-comma | | 77-comma | ||
| | | Wa-77 | ||
|w-77 | | w-77 | ||
| | | | ||
|{{monzo| -122 77 }} | | {{monzo| -122 77 }} | ||
|50.535 | | 50.535 | ||
| | |||
|- | |||
| [[Mystery comma]], 29-comma | |||
| Wa-29 | |||
| w-29 | |||
| 70368744177664 / 68630377364883 | |||
| {{monzo| 46 -29 }} | |||
| 43.305 | |||
| | |||
|- | |||
| 277-comma | |||
| Wa-277 | |||
| w-277 | |||
| | |||
| {{monzo| -439 277 }} | |||
| 41.535 | |||
| | |||
|- | |||
| 224-comma | |||
| Wa-224 | |||
| w-224 | |||
| | |||
| {{monzo| -355 224 }} | |||
| 37.920 | |||
| | |||
|- | |||
| 135-comma | |||
| Wa-135 | |||
| w-135 | |||
| | |||
| {{monzo| 214 -135 }} | |||
| 36.075 | |||
| | |||
|- | |||
| 171-comma | |||
| Wa-171 | |||
| w-171 | |||
| | |||
| {{monzo| -271 171 }} | |||
| 34.305 | |||
| | |||
|- | |||
| 118-comma | |||
| Wa-118 | |||
| w-118 | |||
| | |||
| {{monzo| -187 118 }} | |||
| 30.690 | |||
| | |||
|} | |} | ||
===5-limit commas=== | |||
=== 5-limit commas === | |||
{{See also| Table of 5-limit commas }} | |||
{| class="wikitable" | {| class="wikitable" | ||
!Name(s) | ! Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
![[Ratio]] | ! [[Ratio]] | ||
![[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 | ||
| | |||
|- | |- | ||
|major chroma | | [[135/128|Mavila comma]], major chroma | ||
|Layobi | | Layobi | ||
|Ly1 | | Ly1 | ||
| 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 | ||
| | | 8y-2 | ||
| | | 390625 / 373248 | ||
|{{ | | {{Monzo| -9 -6 8 }} | ||
| | | 78.78 | ||
| | |||
|- | |- | ||
| | | Sevond comma | ||
| | | Sasepyo | ||
| | | s7y1 | ||
| | | 5000000 / 4782969 | ||
|{{ | | {{Monzo| 6 -14 7 }} | ||
| | | 76.826 | ||
| [[Petr Pařízek]] (2011) | |||
|- | |- | ||
| | | Nusecond comma | ||
| | | Legu | ||
| | | 11g3 | ||
| | | 51018336 / 48828125 | ||
|{{ | | {{Monzo| 5 13 -11 }} | ||
| | | 75.964 | ||
| | |||
|- | |- | ||
| | | Sentinel comma | ||
| | | Trila-quadyo | ||
| | | 3L4y-3 | ||
| | | 8968066875 / 8589934592 | ||
|{{ | | {{Monzo| -33 15 4 }} | ||
| | | 74.580 | ||
| | |||
|- | |- | ||
| | | [[Hypovishnuzma]] | ||
| | | Saquadtrigu | ||
| | | s12g4 | ||
| | | 254803968 / 244140625 | ||
|{{ | | {{Monzo| 20 5 -12 }} | ||
| | | 74.010 | ||
| [[ArrowHead294]] (2024) | |||
|- | |- | ||
| | | Stump comma | ||
| | | Latriyo | ||
| | | L3y-2 | ||
| | | 273375 / 262144 | ||
|{{ | | {{Monzo| -18 7 3 }} | ||
| | | 72.626 | ||
| | |||
|- | |- | ||
| | | [[25/24|Dicot comma]], classic(al) chroma | ||
| | | Yoyo | ||
| | | yy1 | ||
| | | 25 / 24 | ||
|{{ | | {{Monzo| -3 -1 2 }} | ||
| | | 70.672 | ||
| | |||
|- | |- | ||
| | | [[20480/19683|Superpyth comma]], grave minor second | ||
| | | Sayo | ||
| | | sy2 | ||
| | | 20480 / 19683 | ||
|{{ | | {{Monzo| 12 -9 1 }} | ||
| | | 68.719 | ||
| | |||
|- | |- | ||
| | | [[648/625|Diminished comma]], major diesis | ||
| | | Quadgu | ||
| | | 4g2 | ||
| | | 648 / 625 | ||
|{{ | | {{Monzo| 3 4 -4 }} | ||
| | | 62.565 | ||
| [[Paul Erlich]], [[Carl Lumma]] (2002) | |||
|- | |- | ||
| | | [[Passion comma]] | ||
| | | Saquingu | ||
| | | s5g3 | ||
| | | 262144 / 253125 | ||
|{{ | | {{Monzo| 18 -4 -5 }} | ||
| | | 60.611 | ||
| [[Paul Erlich]] (2004) | |||
|- | |- | ||
| | | [[Shibboleth comma]] | ||
| | | Tritriyo | ||
| | | 9y-2 | ||
| | | 1953125 / 1889568 | ||
|{{ | | {{Monzo| -5 -10 9 }} | ||
| | | 57.273 | ||
| [[Paul Erlich]] (2002) | |||
|- | |- | ||
| | | Mynic comma | ||
| | | Quinbigu | ||
| | | 10g3 | ||
| | | 10077696 / 9765625 | ||
|{{ | | {{Monzo| 9 9 -10 }} | ||
| | | 54.458 | ||
| | |||
|- | |- | ||
| | | Tritonic comma | ||
| | | Lala-quinyo | ||
| | | LL5y-3 | ||
| | | 553584375 / 536870912 | ||
|{{ | | {{Monzo| -29 11 5 }} | ||
| | | 53.074 | ||
| | |||
|- | |- | ||
| | | [[Magus comma]] | ||
| | | Salegu | ||
| | | s11g4 | ||
| | | 50331648 / 48828125 | ||
|{{ | | {{Monzo| 24 1 -11 }} | ||
| | | 52.504 | ||
| [[ArrowHead294]] (2024) | |||
|- | |- | ||
| | | [[Negri comma]], double augmentation diesis | ||
| | | Laquadyo | ||
| | | L4y-2 | ||
| | | 16875 / 16384 | ||
|{{ | | {{Monzo| -14 3 4 }} | ||
| | | 51.120 | ||
| [[Paul Erlich]] (2002) | |||
|- | |- | ||
| | | [[Goldis comma]] | ||
| | | Trisa-quadtrigu | ||
| | | 3s12g5 | ||
| | | 549755813888 / 533935546875 | ||
|{{ | | {{Monzo| 39 -7 -12 }} | ||
| | | 50.550 | ||
| [[Userminusone]] (2021) | |||
|- | |- | ||
|diesis | | [[250/243|Porcupine comma]], maximal diesis | ||
| | | Triyo | ||
| | | 3y1 | ||
| | | 250 / 243 | ||
|{{ | | {{Monzo| 1 -5 3 }} | ||
| | | 49.166 | ||
| [[Herman Miller]] (1999) | |||
|- | |- | ||
| | | Mowgli comma, [[15edt]] comma | ||
| | | Laquintrigu | ||
| | | L15g3 | ||
| | | 31381059609 / <br>30517578125 | ||
|{{ | | {{Monzo| 0 22 -15 }} | ||
| | | 48.304 | ||
| | |||
|- | |- | ||
|[[ | | [[Immunity comma]] | ||
| | | Sasa-yoyo | ||
| | | ssyy2 | ||
| | | 1638400 / 1594323 | ||
|{{ | | {{Monzo| 16 -13 2 }} | ||
| | | 47.212 | ||
| [[Mike Battaglia]] (2011) | |||
|- | |- | ||
| | | [[Python comma]] | ||
| | | Lalagu | ||
|LLg | | LLg-2 | ||
| | | 43046721 / 41943040 | ||
|{{ | | {{Monzo| -23 16 -1 }} | ||
| | | 44.966 | ||
| [[CompactStar]] (2023) | |||
|- | |- | ||
| | | [[128/125|Augmented comma]], diesis | ||
| | | Trigu | ||
| | | 3g2 | ||
| | | 128 / 125 | ||
|{{ | | {{Monzo| 7 0 -3 }} | ||
| | | 41.059 | ||
| [[Paul Erlich]], [[Carl Lumma]] (2002) | |||
|- | |- | ||
| | | Wizard comma | ||
| | | Lala-quadtriyo | ||
| | | LL12y-4 | ||
| | | 2197265625 / 2147483648 | ||
|{{ | | {{Monzo| -31 2 12 }} | ||
| | | 39.675 | ||
| | |||
|- | |- | ||
| | | [[Sycamore comma]] | ||
| | | Laleyo | ||
| | | L11y-3 | ||
| | | 48828125 / 47775744 | ||
|{{ | | {{Monzo| -16 -6 11 }} | ||
| | | 37.721 | ||
| [[Paul Erlich]] (2002) | |||
|- | |- | ||
| | | Absurdity comma | ||
|Lala- | | Lala-sepgu | ||
| | | LL7g1 | ||
| | | 10460353203 / <br>10240000000 | ||
|{{ | | {{Monzo| -17 21 -7 }} | ||
| | | 36.859 | ||
| [[Mike Battaglia]] (2011) | |||
|- | |- | ||
| | | Fifive comma | ||
|Sasa-quinbigu | | Saquinbiyo | ||
| | | s10y-2 | ||
|268435456 / 263671875 | | 9765625 / 9565938 | ||
|{{ | | {{Monzo| -1 -14 10 }} | ||
|30.998 | | 35.767 | ||
| [[Petr Pařízek]] (2011) | |||
|- | |||
| [[Unicorn comma]] | |||
| Laquadbigu | |||
| L8g2 | |||
| 1594323 / 1562500 | |||
| {{Monzo| -2 13 -8 }} | |||
| 34.905 | |||
| [[Paul Erlich]] (2002) | |||
|- | |||
| [[Valentine comma]] | |||
| Satritrigu | |||
| s9g3 | |||
| 1990656 / 1953125 | |||
| {{Monzo| 13 5 -9 }} | |||
| 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 | |||
| LL6y-3 | |||
| 34171875 / 33554432 | |||
| {{Monzo| -25 7 6 }} | |||
| 31.567 | |||
| | |||
|- | |||
| Mabila comma | |||
| Sasa-quinbigu | |||
| ss10g4 | |||
| 268435456 / 263671875 | |||
| {{Monzo| 28 -3 -10 }} | |||
| 30.998 | |||
| | |||
|} | |} | ||
===7-limit commas=== | === 7-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
!Name(s) | ! Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
![[Ratio]] | ! [[Ratio]] | ||
![[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 | ||
| | |||
|- | |- | ||
|29-7/5-comma | | [[343/324|Gamelismic minor second]] | ||
| | | Trizo | ||
| | | 3z3 | ||
| | | 343 / 324 | ||
|{{ | | {{Monzo| -2 -4 0 3 }} | ||
|92.854 | | 98.658 | ||
| [[User:Jerdle|Jerdle]] (2021) | |||
|- | |||
| 29-7/5-comma | |||
| Twenezogu | |||
| 29zg19 | |||
| <abbr title="3219905755813179726837607 / 3051757812500000000000000">(50 digits)</abbr> | |||
| {{Monzo| -14 0 -29 29 }} | |||
| 92.854 | |||
| | |||
|- | |- | ||
|47-35-comma | | 47-35-comma | ||
| | | Thela-fosezoyo | ||
| | | 13L47zy6 | ||
| | | | ||
|{{ | | {{Monzo| -241 0 47 47 }} | ||
|91.562 | | 91.562 | ||
| | |||
|- | |- | ||
|minor semitone | | [[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 | ||
| | | 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 | |||
| 5L36z14 | |||
| | | | ||
| {{Monzo| -101 0 0 36 }} | |||
| 77.733 | |||
|{{ | | | ||
|77.733 | |- | ||
| [[392/375|Prograde comma]], ed7/4 microdiatonic comma | |||
| Zozotrigu | |||
| zz3g3 | |||
| 392 / 375 | |||
| {{Monzo| 3 -1 -3 2 }} | |||
| 76.756 | |||
| [[User:OffsuitKnave|OffsuitKnave]] (2022) | |||
|- | |- | ||
| | | [[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 | |||
| 5L18z6 | |||
| | | | ||
| {{Monzo| -79 18 0 18 }} | |||
| 74.056 | |||
| | |||
|- | |||
| 15-35-comma | |||
| Quadsa-quintrirugu | |||
| 4s15rg-2 | |||
| | | | ||
| {{Monzo| 77 0 -15 -15 }} | |||
|{{ | | 72.906 | ||
| | | | ||
|- | |- | ||
| | | <strike>slendro integer cents comma</strike>{{clarify}} | ||
| | | | ||
| | | | ||
| | | | ||
|{{ | | {{Monzo| 1123 0 0 -400 }} | ||
| | | 69.637 | ||
| | |||
|- | |- | ||
| | | 47-7-comma | ||
| Sepsa-foseru | |||
| 7s47r-17 | |||
| | | | ||
| {{Monzo| 132 0 0 -47 }} | |||
| 65.182 | |||
| | |||
|- | |||
| [[8505/8192|35 large diesis]] | |||
| Lazoyo | |||
| Lzy1 | |||
| 8505 / 8192 | |||
| {{Monzo| -13 5 1 1 }} | |||
| 64.915 | |||
| [[Douglas Blumeyer]] (2024) | |||
|- | |||
| 33-21-comma | |||
| Tritrisa-letriru | |||
| 9s33r-9 | |||
| | | | ||
| {{Monzo| 145 -33 0 -33 }} | |||
| 64.23 | |||
| | |||
|- | |||
| [[28/27|Trienstonic comma]], septimal third-tone | |||
| Zo | |||
| z2 | |||
| 28 / 27 | |||
| {{Monzo| 2 -3 0 1 }} | |||
| 62.961 | |||
| | |||
|- | |||
| 31-7/5-comma | |||
| Thiwezogu | |||
| 31zg20 | |||
| | | | ||
|{{ | | {{Monzo| -15 0 -31 31 }} | ||
| | | 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 | ||
| | | rry-2 | ||
| | | 405 / 392 | ||
|{{ | | {{Monzo| -3 4 1 -2 }} | ||
| | | 56.482 | ||
| [[Francium]] (2023) | |||
|- | |- | ||
| | | 21-7-comma | ||
| | | Trisa-septriru | ||
| | | 3s21r-8 | ||
| | | <abbr title="576460752303423488 / 558545864083284007">(36 digits)</abbr> | ||
|{{ | | {{Monzo| 59 0 0 -21 }} | ||
| | | 54.656 | ||
| | |||
|- | |- | ||
| | | [[59049/57344|Harrison's comma]] | ||
| | | Laru | ||
| | | Lr-2 | ||
| | | 59049 / 57344 | ||
|{{ | | {{Monzo| -13 10 0 -1 }} | ||
| | | 50.724 | ||
| | |||
|- | |- | ||
| | | 39-35-comma | ||
| Lela-thetrizoyo | |||
| 11L39zy5 | |||
| | | | ||
| | | {{Monzo| -200 0 39 39 }} | ||
| | | 50.445 | ||
|{{ | | | ||
| | |- | ||
| [[1029/1000|Keega]] | |||
| Trizogu | |||
| 3zg3 | |||
| 1029 / 1000 | |||
| {{Monzo| -3 1 -3 3 }} | |||
| 49.492 | |||
| [[Gene Ward Smith]] (2005) | |||
|- | |- | ||
| | | [[36/35|Mint comma]], septimal quartertone | ||
| | | Rugu | ||
| | | rg1 | ||
| | | 36 / 35 | ||
|{{ | | {{Monzo| 2 2 -1 -1 }} | ||
| | | 48.77 | ||
| [[Mike Battaglia]] (2012) | |||
|- | |- | ||
| | | 37-7/5-comma | ||
| | | Thiseruyo | ||
| 37ry-23 | |||
| | | | ||
| {{Monzo| 18 0 37 -37 }} | |||
|{{ | | 47.049 | ||
| | | | ||
|- | |- | ||
| | | 5-21-comma | ||
| | | Saquinru | ||
| | | s5r-2 | ||
| | | 4194304 / 4084101 | ||
|{{ | | {{Monzo| 22 -5 0 -5 }} | ||
| | | 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 | ||
| | | L5z3 | ||
| | | 16807 / 16384 | ||
|{{ | | {{Monzo| -14 0 0 5 }} | ||
| | | 44.13 | ||
| [[User:Flirora|+merlan #flirora]] (2021) | |||
|- | |- | ||
| | | [[525/512|Avicennma]], Avicenna's enharmonic diesis | ||
| | | Lazoyoyo | ||
| | | Lzyy1 | ||
| | | 525 / 512 | ||
|{{ | | {{Monzo| -9 1 2 1 }} | ||
| | | 43.408 | ||
| | |||
|- | |- | ||
| | | [[Skwares comma]] | ||
| | | Laquadru | ||
| | | L4r-3 | ||
| | | 19683 / 19208 | ||
|{{monzo| | | {{monzo| -3 9 0 -4 }} | ||
| | | 42.291 | ||
| | |||
|- | |- | ||
| | | [[2240/2187|Septimal inframinor second]] | ||
| | | Sazoyo | ||
| | | szy2 | ||
| | | 2240 / 2187 | ||
|{{monzo| | | {{monzo| 6 -7 1 1 }} | ||
| | | 41.456 | ||
| [[User:FloraC|FloraC]] (2023) | |||
|- | |- | ||
| | | [[Septimal octatonic comma]] | ||
| | | Lala-quadbizoyo | ||
| | | LL8zy2 | ||
| | | 2251875390625 / <br>2199023255552 | ||
|{{monzo| - | | {{monzo| -41 0 8 8 }} | ||
| | | 41.117 | ||
| [[User:ArrowHead294|ArrowHead294]] (2024) | |||
|- | |- | ||
| | | [[Mabilisma]] | ||
| | | Latrizo-aquinyo | ||
| | | L3za5y1 | ||
| | | 1071875 / 1048576 | ||
|{{ | | {{Monzo| -20 0 5 3 }} | ||
| | | 38.046 | ||
| | |||
|- | |- | ||
| | | [[49/48|Semaphoresma]], large septimal diesis, slendro diesis | ||
| | | Zozo | ||
| | | zz2 | ||
| | | 49 / 48 | ||
|{{ | | {{Monzo| -4 -1 0 2 }} | ||
| | | 35.697 | ||
| | |||
|- | |- | ||
| | | [[15625/15309|Arcturus comma]] | ||
| | | Larutribiyo | ||
| | | Lr6y-2 | ||
| | | 15625 / 15309 | ||
|{{ | | {{Monzo| 0 -7 6 -1 }} | ||
|35. | | 35.371 | ||
| | |||
|- | |- | ||
|tritonic diesis | | [[50/49|Jubilisma]], small septimal diesis, tritonic diesis | ||
|Biruyo | | Biruyo | ||
| | | 2ry-2 | ||
| | | 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 | |||
| 4L31z12 | |||
| | | | ||
| {{Monzo| -87 0 0 31 }} | |||
| 33.603 | |||
|{{ | | | ||
|33.603 | |- | ||
| [[Llywelynsma]], llywelyn comma | |||
| Sasepru-agu | |||
| s7rag-3 | |||
| 4194304 / 4117715 | |||
| {{Monzo| 22 0 -1 -7 }} | |||
| 31.905 | |||
| [[User:Flirora|+merlan #flirora]] (2021) | |||
|- | |- | ||
|23-35-comma | | 23-35-comma | ||
| Sepsa-twetherugu | |||
| 7s23rg-3 | |||
| | | | ||
| {{Monzo| 118 0 -23 -23 }} | |||
| 31.789 | |||
|{{ | | | ||
|31.789 | |||
|} | |} | ||
===11-limit commas=== | === 11-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
!Name(s) | ! Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
!Ratio | ! [[Ratio]] | ||
!Monzo | ! [[Monzo]] | ||
! | ! [[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 | |||
| Quinla-sepquinlo | |||
| 5L35(1o)-8 | |||
| | |||
| {{monzo| -121 0 0 0 35 }} | |||
| 96.128 | |||
| | |||
|- | |||
| [[22/21|Undecimal minor semitone]] | |||
| Loru | |||
| 1or1 | |||
| 22 / 21 | |||
| {{monzo| 1 -1 0 -1 1 }} | |||
| 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 | |||
| Lala-lelo | |||
| LL11(1o)-3 | |||
| 285311670611 / 274877906944 | |||
| {{monzo| -38 0 0 0 11 }} | |||
| 64.497 | |||
| | |||
|- | |||
| [[729/704|Undecimal major diesis]] | |||
| Lalu | |||
| L1u1 | |||
| 729 / 704 | |||
| {{monzo| -6 6 0 0 -1 }} | |||
| 60.412 | |||
| | |||
|- | |||
| [[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 | ||
| | | 1o1 | ||
| | | 33 / 32 | ||
|{{monzo| - | | {{monzo| -5 1 0 0 1 }} | ||
| | | 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 | ||
| | | 1o3r-2 | ||
| | | 352 / 343 | ||
|{{monzo| | | {{monzo| 5 0 0 -3 1 }} | ||
| | | 44.84 | ||
| | |||
|- | |- | ||
| | | [[4096/3993|Alpharabian paralimma]] | ||
| | | Satrilu | ||
| | | s3(1u)2 | ||
| | | 4096 / 3993 | ||
|{{monzo| - | | {{monzo| 12 -1 0 0 -3 }} | ||
| | | 44.091 | ||
| [[Dawson Berry]] (2021) | |||
|- | |- | ||
| | | [[Nokotan]], <br>Shikanokonokonokokoshitantanma | ||
| | | Luzoquinyo | ||
| | | 1uz5y1 | ||
| | | 21875 / 21384 | ||
|{{monzo| -5 1 | | {{monzo| -3 -5 5 1 -1 }} | ||
| | | 39.302 | ||
| [[Budjarn Lambeth]] (2024, short name) <br>[[User:R-4981|R-4981]] (2024, long name) | |||
|- | |- | ||
| | | [[45/44|Undecimal 1/5-tone]], cake comma | ||
| | | Luyo | ||
| | | 1uy1 | ||
| | | 45 / 44 | ||
|{{monzo| | | {{monzo| -2 2 1 0 -1 }} | ||
| | | 38.906 | ||
| | |||
|- | |- | ||
| | | Hunt flat 5 comma | ||
| | | Salu | ||
| | | s1u2 | ||
| | | 8192 / 8019 | ||
|{{monzo| | | {{monzo| 13 -6 0 0 -1 }} | ||
| | | 36.952 | ||
| | |||
|- | |- | ||
| | | [[45927/45056|11/7 comma]] | ||
| | | Laluzo | ||
| | | L1uz1 | ||
| | | 45927 / 45056 | ||
|{{monzo| - | | {{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|Telepathma]] | ||
|Loyo | | Loyo | ||
|1oy1 | | 1oy1 | ||
|55 / 54 | | 55 / 54 | ||
|{{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 | ||
| | | 3L24(1o)-6 | ||
| | | | ||
|{{monzo| -83 0 0 0 24 }} | | {{monzo| -83 0 0 0 24 }} | ||
|31.631 | | 31.631 | ||
| | |||
|- | |- | ||
| | | [[56/55|Undecimal diesis]], konbini comma | ||
| | | Luzogu | ||
|1uzg2 | | 1uzg2 | ||
|56 / 55 | | 56 / 55 | ||
|{{monzo| 3 0 -1 1 -1 }} | | {{monzo| 3 0 -1 1 -1 }} | ||
|31.194 | | 31.194 | ||
| | |||
|} | |} | ||
===13-limit commas=== | === 13-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
!Name(s) | ! Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
!Ratio | ! [[Ratio]] | ||
!Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
! Named by | |||
|- | |- | ||
| | | [[55/52]] | ||
| | | Thuloyo | ||
| | | 3u1oy1 | ||
| | | 55 / 52 | ||
|{{monzo| -1 | | {{monzo| -2 0 1 0 1 -1 }} | ||
| | | 97.104 | ||
| | |||
|- | |- | ||
| | | [[26/25|Large tridecimal 1/3-tone]] | ||
| | | Thogugu | ||
| | | 3ogg2 | ||
| 26 / 25 | |||
|{{monzo| 1 0 -2 0 0 1 }} | | {{monzo| 1 0 -2 0 0 1 }} | ||
|67. | | 67.900 | ||
| | |||
|- | |- | ||
|tridecimal | | [[27/26|Small tridecimal 1/3-tone]] | ||
| | | Thu | ||
| | | 3u1 | ||
| | | 27 / 26 | ||
|{{monzo| - | | {{monzo| -1 3 0 0 0 -1 }} | ||
| | | 65.337 | ||
| | |||
|- | |- | ||
| | | [[65/63|Radius of tolerance (FJS)]] | ||
| | | Thoruyo | ||
| | | 3ory1 | ||
| | | 65 / 63 | ||
|{{monzo| | | {{monzo| 0 -2 1 -1 0 1 }} | ||
| | | 54.105 | ||
| | |||
|- | |- | ||
| | | [[1053/1024|Superflat comma, tridecimal quartertone]], <br>Hunt minor submediant comma | ||
| | | Latho | ||
| | | L3o1 | ||
|4826809 / 4718592 | | 1053 / 1024 | ||
|{{monzo| -19 -2 0 0 0 6 }} | | {{monzo| -10 4 0 0 0 1 }} | ||
|39.256 | | 48.348 | ||
| [[Flora Canou]] (2020) for ''tridecimal quartertone'' <br>[[User:CompactStar|CompactStar]] (2023) for ''superflat comma'' | |||
|- | |||
| [[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 | |||
| 3uy1 | |||
| 40 / 39 | |||
| {{monzo| 3 -1 1 0 0 -1 }} | |||
| 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 | |||
| L6(3o)2 | |||
| 4826809 / 4718592 | |||
| {{monzo| -19 -2 0 0 0 6 }} | |||
| 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) | |||
|} | |} | ||
===17-limit commas=== | |||
=== 17-limit commas === | |||
{| class="wikitable" | {| class="wikitable" | ||
!Name(s) | ! Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
!Ratio | ! [[Ratio]] | ||
!Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
! Named by | |||
|- | |||
| [[18/17|Small septendecimal semitone]], Arabic lute index finger | |||
| Su | |||
| 17u1 | |||
| 18 / 17 | |||
| {{monzo| 1 2 0 0 0 0 -1 }} | |||
| 98.955 | |||
| | |||
|- | |- | ||
| | | [[88/85|Septendecimal ~20edo-step]] | ||
| | | Sulogu | ||
| | | 17u1og1 | ||
| | | 88 / 85 | ||
|{{monzo| 1 | | {{monzo| 3 0 -1 0 1 0 -1 }} | ||
| | | 60.049 | ||
| [[Budjarn Lambeth]] (2024) | |||
|- | |- | ||
| | | 12 semitone comma | ||
| | | Lala-quadtriso | ||
| | | LL12(17o)6 | ||
| | | 582622237229761 / 562949953421312 | ||
|{{monzo| - | | {{monzo| -49 0 0 0 0 0 12 }} | ||
| | | 59.465 | ||
| | |||
|- | |- | ||
| | | [[34/33|Large septendecimal quartertone]] | ||
|Solu | | Solu | ||
|17o1u2 | | 17o1u2 | ||
|34 / 33 | | 34 / 33 | ||
|{{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|Small septendecimal quartertone]] | ||
| | | Suzoyo | ||
| | | 17uzy1 | ||
| | | 35 / 34 | ||
|{{monzo| -1 1 | | {{monzo| -1 0 1 1 0 0 -1 }} | ||
| | | 50.184 | ||
| [[Flora Canou]] (2021) | |||
|- | |- | ||
| | | 11 semitone comma | ||
| | | Sasa-lesu | ||
| | | ss11(17u)-5 | ||
| | | 35184372088832 / 34271896307633 | ||
|{{monzo| | | {{monzo| 45 0 0 0 0 0 -11 }} | ||
| | | 45.49 | ||
| | |||
|- | |- | ||
| | | [[51/50|Large septendecimal 1/6-tone]], 17th-partial chroma | ||
| | | Sogugu | ||
| | | 17ogg2 | ||
| | | 51 / 50 | ||
|{{monzo| | | {{monzo| -1 1 -2 0 0 0 1 }} | ||
| | | 34.283 | ||
| [[Flora Canou]] (2023) | |||
|- | |- | ||
| | | [[52/51|Small septendecimal 1/6-tone]] | ||
| | | Sutho | ||
| | | 17u3o1 | ||
| | | 52 / 51 | ||
|{{monzo| - | | {{monzo| 2 -1 0 0 0 1 -1 }} | ||
| | | 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 }} | ||
| | | 31.516 | ||
|{{monzo| | | | ||
| | |} | ||
=== 19-limit commas === | |||
{| class="wikitable" | |||
! Name(s) | |||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | |||
! [[Ratio]] | |||
! [[Monzo]] | |||
! [[Cent]]s | |||
! Named by | |||
|- | |||
| [[19/18|Large undevicesimal semitone]] | |||
| Ino | |||
| 19o2 | |||
| 19 / 18 | |||
| {{monzo| -1 -2 0 0 0 0 0 1 }} | |||
| 93.603 | |||
| [[User:Xenllium|Xenllium]] (2019) | |||
|- | |||
| [[20/19|Small undevicesimal semitone]] | |||
| Nuyo | |||
| 19uy1 | |||
| 20 / 19 | |||
| {{monzo| 2 0 1 0 0 0 0 -1 }} | |||
| 88.801 | |||
| [[User:Xenllium|Xenllium]] (2019) | |||
|- | |||
| [[39/38|Undevicesimal diesis]], undevicesimal 2/9-tone | |||
| Nutho | |||
| 19u3o1 | |||
| 39 / 38 | |||
| {{monzo| -1 1 0 0 0 1 0 -1 }} | |||
| 44.97 | |||
| [[User:Xenllium|Xenllium]] (2023) | |||
|- | |||
| [[57/56|Hendrix comma]] | |||
| Noru | |||
| 19or1 | |||
| 57 / 56 | |||
| {{monzo| -3 1 0 -1 0 0 0 1 }} | |||
| 30.642 | |||
| | |||
|} | |} | ||
=== | |||
=== 23-limit commas === | |||
{| class="wikitable" | {| class="wikitable" | ||
!Name(s) | ! Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
!Ratio | ! [[Ratio]] | ||
!Monzo | ! [[Monzo]] | ||
! | ! [[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 | ||
|{{monzo| | | 2.3.23 {{monzo| 3 1 -1 }} | ||
| | | 73.681 | ||
| [[Xenwolf]] (2020) | |||
|- | |- | ||
| | | [[299/289|Undecimisma]] | ||
| | | Twethosusutho | ||
| | | 23o17uu3o1 | ||
| | | 299 / 289 | ||
|{{monzo| | | 13.17.23 {{monzo| 1 -2 1 }} | ||
| | | 58.891 | ||
| [[User:Inisil|Inisil]] (2024) | |||
|- | |- | ||
| | | [[2187/2116|Lipsett comma]] | ||
| | | Labitwethu | ||
| | | L23uu-2 | ||
| | | 2187 / 2116 | ||
|{{monzo| - | | 2.3.23 {{monzo| -2 7 -2 }} | ||
| | | 57.136 | ||
| [[Budjarn Lambeth]] (2024) | |||
|- | |- | ||
| | | [[46/45|Vicesimotertial 1/5-tone]] | ||
| | | Twethogu | ||
| | | 23og2 | ||
| | | 46 / 45 | ||
|{{monzo| - | | 2.3.5.23 {{monzo| 1 -2 -1 1 }} | ||
| | | 38.051 | ||
| [[User:Flirora|Flirora]] (2023) | |||
|} | |} | ||
[[ | === Higher-limit commas === | ||
[[Category:Medium | {| 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]] | |||
| | |||
| | |||
| 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 | |||
| 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) | |||
|} | |||
== Notes == | |||
[[Category:Medium commas| ]] <!-- main article --> | |||
[[Category:Lists of commas]] | |||
{{todo|complete table|add color name}} | |||
<references /> |