Unnoticeable comma: Difference between revisions
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'''Unnoticeable commas''' are very small intervals. These [[comma]]s 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 [[ | '''Unnoticeable commas''' are very small intervals. These [[comma]]s 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]]. 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]]. (However, a considerably larger comma can be unnoticeable in an [[adaptive just intonation|adaptive]] tuning context. Instead of one large pitch shift of the entire comma, there can be many small pitch shifts of a fraction of a comma, one per chord change.) | ||
For commas over 100 cents in size, see [[Large comma]]; for commas in between 30 and 100 cents in size, see [[Medium comma]]; and for commas over 3.5 cents in size, see [[Small comma]]. | For commas over 100 cents in size, see [[Large comma]]; for commas in between 30 and 100 cents in size, see [[Medium comma]]; and for commas over 3.5 cents in size, see [[Small comma]]. | ||
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 [[ | 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. | ||
== List of commas, by prime limit == | == List of commas, by prime limit == | ||
Line 29: | Line 29: | ||
| {{monzo| 485 -306 }} | | {{monzo| 485 -306 }} | ||
| 1.7697 | | 1.7697 | ||
| | | | ||
|- | |- | ||
| [[Satanic comma]] | | [[Satanic comma]] | ||
Line 136: | Line 136: | ||
| [[Gene Ward Smith]] (2003) | | [[Gene Ward Smith]] (2003) | ||
|- | |- | ||
|[[Neon comma]] | | [[Neon comma]] | ||
|Laquinquinbigu | | Laquinquinbigu | ||
| | | | ||
| | | | ||
| | | {{monzo| 21 60 -50 }} | ||
|1.6144 | | 1.6144 | ||
|[[Eliora]] (2024) | | [[Eliora]] (2024) | ||
|- | |- | ||
| [[Septendecima]] | | [[Septendecima]] | ||
Line 192: | Line 192: | ||
| [[User:Xenllium|Xenllium]] (2022) | | [[User:Xenllium|Xenllium]] (2022) | ||
|- | |- | ||
|[[Niobium comma]] | | [[Niobium comma]] | ||
| | | | ||
| | | | ||
| | | | ||
| | | {{Monzo| -875 492 41 }} | ||
|0.72269 | | 0.72269 | ||
|[[Eliora]] (2023) | | [[Eliora]] (2023) | ||
|- | |- | ||
| [[Kwazy comma]] | | [[Kwazy comma]] | ||
Line 302: | Line 302: | ||
| {{Monzo| 161 -84 -12 }} | | {{Monzo| 161 -84 -12 }} | ||
| 0.015361 | | 0.015361 | ||
| | | | ||
|- | |- | ||
| Selenia | | Selenia | ||
Line 409: | Line 409: | ||
| {{Monzo| -16 1 5 1 }} | | {{Monzo| -16 1 5 1 }} | ||
| 2.3495 | | 2.3495 | ||
|[[Gene Ward Smith]] (2005) | | [[Gene Ward Smith]] (2005) | ||
|- | |- | ||
| [[Forge comma]] | | [[Forge comma]] | ||
Line 419: | Line 419: | ||
| [[Dawson Berry]] (2022) | | [[Dawson Berry]] (2022) | ||
|- | |- | ||
|[[109-7-comma]] | | [[109-7-comma]] | ||
| | | | ||
|L<sup>16</sup>z<sup>109</sup>39 | | L<sup>16</sup>z<sup>109</sup>39 | ||
| | | | ||
| | | {{Monzo| -306 0 0 109 }} | ||
|2.0238 | | 2.0238 | ||
|[[Eliora]] (2024) | | [[Eliora]] (2024) | ||
|- | |- | ||
| [[Neptunisma]] | | [[Neptunisma]] | ||
Line 457: | Line 457: | ||
| {{Monzo| -11 2 7 -3 }} | | {{Monzo| -11 2 7 -3 }} | ||
| 1.6283 | | 1.6283 | ||
| | | | ||
|- | |- | ||
| [[Skeetsma]] | | [[Skeetsma]] | ||
Line 467: | Line 467: | ||
| [[User:Jerdle|Jerdle]] (2021) | | [[User:Jerdle|Jerdle]] (2021) | ||
|- | |- | ||
|[[Breeze comma]] | | [[Breeze comma]] | ||
|Laquadru-atriyo | | Laquadru-atriyo | ||
|Lr<sup>4</sup>y<sup>3</sup>-4 | | Lr<sup>4</sup>y<sup>3</sup>-4 | ||
|2460375 / 2458624 | | 2460375 / 2458624 | ||
| | | {{Monzo| -10 9 3 -4 }} | ||
|1.2325 | | 1.2325 | ||
|[[Tristan Bay]] (2024) | | [[Tristan Bay]] (2024) | ||
|- | |- | ||
| [[Wizma]] | | [[Wizma]] | ||
Line 545: | Line 545: | ||
| {{Monzo| -1 -7 4 1 }} | | {{Monzo| -1 -7 4 1 }} | ||
| 0.39576 | | 0.39576 | ||
| | | | ||
|- | |- | ||
| [[Septiruthenia]], septimal ruthenia | | [[Septiruthenia]], septimal ruthenia | ||
Line 617: | Line 617: | ||
| {{Monzo| -4 17 1 -9 }} | | {{Monzo| -4 17 1 -9 }} | ||
| 0.11557 | | 0.11557 | ||
| | | | ||
|- | |- | ||
| [[Nommisma]] | | [[Nommisma]] | ||
Line 633: | Line 633: | ||
| {{Monzo| 3 -13 10 -2 }} | | {{Monzo| 3 -13 10 -2 }} | ||
| 0.070314 | | 0.070314 | ||
| | | | ||
|- | |- | ||
| 171&1547&4973 comma | | 171&1547&4973 comma | ||
Line 724: | Line 724: | ||
| {{Monzo| 9 -2 -4 0 1 }} | | {{Monzo| 9 -2 -4 0 1 }} | ||
| 2.1531 | | 2.1531 | ||
| | | | ||
|- | |- | ||
| [[Nexus comma]], nexisma | | [[Nexus comma]], nexisma | ||
Line 734: | Line 734: | ||
| [[Dawson Berry]] (2020) | | [[Dawson Berry]] (2020) | ||
|- | |- | ||
|[[Reef comma]] | | [[Reef comma]] | ||
|Salubizogu | | Salubizogu | ||
|s1uzzgg3 | | s1uzzgg3 | ||
|200704/200475 | | 200704/200475 | ||
| | | {{Monzo| 12 -6 -2 2 -1 }} | ||
|1.9764 | | 1.9764 | ||
|[[Dawson Berry]] (2022) | | [[Dawson Berry]] (2022) | ||
|- | |- | ||
| [[41503/41472|Argyria]], tinge | | [[41503/41472|Argyria]], tinge | ||
Line 780: | Line 780: | ||
| {{Monzo| -8 3 -4 2 2 }} | | {{Monzo| -8 3 -4 2 2 }} | ||
| 0.89784 | | 0.89784 | ||
| [[User:Tristanbay|Tristan Bay]] (2024) for | | [[User:Tristanbay|Tristan Bay]] (2024) for ''seascape comma'' | ||
|- | |- | ||
| Sesdecal | | Sesdecal | ||
Line 814: | Line 814: | ||
| | | | ||
|- | |- | ||
|[[Sossmarvel comma]] | | [[Sossmarvel comma]] | ||
| Trila-lusepruyoyo | | Trila-lusepruyoyo | ||
| L<sup>3</sup>1ur<sup>7</sup>y<sup>14</sup>-8 | | L<sup>3</sup>1ur<sup>7</sup>y<sup>14</sup>-8 | ||
| 9730975341796875 / 9726998192586752 | | 9730975341796875 / 9726998192586752 | ||
|{{Monzo| -30 13 14 -7 -1 }} | | {{Monzo| -30 13 14 -7 -1 }} | ||
| 0.70772 | | 0.70772 | ||
|[[Dawson Berry]] (2022) | | [[Dawson Berry]] (2022) | ||
|- | |- | ||
| [[3025/3024|Lehmerisma]] | | [[3025/3024|Lehmerisma]] | ||
Line 830: | Line 830: | ||
| [[Gene Ward Smith]] (2004) | | [[Gene Ward Smith]] (2004) | ||
|- | |- | ||
|[[Ptolemi-nicema]] | | [[Ptolemi-nicema]] | ||
| Quinbisa-twethetriluyoyo | | Quinbisa-twethetriluyoyo | ||
| s<sup>10</sup>1u<sup>69</sup>y<sup>138</sup>-8 | | s<sup>10</sup>1u<sup>69</sup>y<sup>138</sup>-8 | ||
| | | | ||
|{{Monzo| 137 -138 138 0 -69 }} | | {{Monzo| 137 -138 138 0 -69 }} | ||
| 0.56437 | | 0.56437 | ||
|[[User:Eliora|Eliora]] (2023) | | [[User:Eliora|Eliora]] (2023) | ||
|- | |- | ||
| [[Elysia]] | | [[Elysia]] | ||
Line 870: | Line 870: | ||
| | | | ||
|- | |- | ||
|[[Countercentisma]] | | [[Countercentisma]] | ||
| | | | ||
| | | | ||
| | | | ||
|{{Monzo| -1 -3300 2700 0 -300 }} | | {{Monzo| -1 -3300 2700 0 -300 }} | ||
| 0.14187 | | 0.14187 | ||
|[[User:CompactStar|CompactStar]] (2024) | | [[User:CompactStar|CompactStar]] (2024) | ||
|- | |- | ||
|[[Spoob]] | | [[Spoob]] | ||
|Tribiluzozogu | | Tribiluzozogu | ||
|1u<sup>6</sup>z<sup>12</sup>g<sup>6</sup>8 | | 1u<sup>6</sup>z<sup>12</sup>g<sup>6</sup>8 | ||
|27682574402 / 27680640625 | | 27682574402 / 27680640625 | ||
| | | {{Monzo|1 0 -6 12 -6 }} | ||
|0.12094 | | 0.12094 | ||
|[[User:Eliora|Eliora]] (2023) | | [[User:Eliora|Eliora]] (2023) | ||
|- | |- | ||
| [[Syntonisma]] | | [[Syntonisma]] | ||
Line 900: | Line 900: | ||
| {{Monzo| -1 -11 -1 0 6 }} | | {{Monzo| -1 -11 -1 0 6 }} | ||
| 0.088931 | | 0.088931 | ||
| | | | ||
|- | |- | ||
| Parisma | | Parisma | ||
Line 1,007: | Line 1,007: | ||
| {{Monzo| 0 2 2 1 -2 -1 }} | | {{Monzo| 0 2 2 1 -2 -1 }} | ||
| 2.1998 | | 2.1998 | ||
| | | | ||
|- | |- | ||
| [[1001/1000|Sinbadma]] | | [[1001/1000|Sinbadma]] | ||
Line 1,015: | Line 1,015: | ||
| {{Monzo| -3 0 -3 1 1 1 }} | | {{Monzo| -3 0 -3 1 1 1 }} | ||
| 1.7303 | | 1.7303 | ||
| | | | ||
|- | |- | ||
| [[4459/4455|Tristanisma]] | | [[4459/4455|Tristanisma]] | ||
Line 1,065: | Line 1,065: | ||
| | | | ||
|- | |- | ||
|[[Pseudovishnuzma]] | | [[Pseudovishnuzma]] | ||
| Sasa-thozosepbigu | | Sasa-thozosepbigu | ||
| ss3ozg<sup>14</sup>5 | | ss3ozg<sup>14</sup>5 | ||
| 6106906624 / 6103515625 | | 6106906624 / 6103515625 | ||
|{{Monzo| 26 0 -14 1 0 1 }} | | {{Monzo| 26 0 -14 1 0 1 }} | ||
| 0.96157 | | 0.96157 | ||
|[[User:Eliora|Eliora]] (2023) | | [[User:Eliora|Eliora]] (2023) | ||
|- | |- | ||
| [[Sercloreminisma]] | | [[Sercloreminisma]] | ||
Line 1,103: | Line 1,103: | ||
| {{Monzo| 12 -2 -1 -1 0 -1 }} | | {{Monzo| 12 -2 -1 -1 0 -1 }} | ||
| 0.42272 | | 0.42272 | ||
| | | | ||
|- | |- | ||
| [[4225/4224|Leprechaun comma]] | | [[4225/4224|Leprechaun comma]] | ||
Line 1,284: | Line 1,284: | ||
| [[Eliora]] (2022) | | [[Eliora]] (2022) | ||
|- | |- | ||
|[[24576/24565|Mavka comma]], archagallisma | | [[24576/24565|Mavka comma]], archagallisma | ||
|Trisu-agu | | Trisu-agu | ||
|17u<sup>3</sup>g-2 | | 17u<sup>3</sup>g-2 | ||
|24576/24565 | | 24576/24565 | ||
| | | {{Monzo| 13 1 -1 0 0 0 -3 }} | ||
|0.77506 | | 0.77506 | ||
|[[Eliora]] (2022) for ''mavka comma'' | | [[Eliora]] (2022) for ''mavka comma'' | ||
|- | |- | ||
| [[2431/2430|Heptacircle comma]] | | [[2431/2430|Heptacircle comma]] | ||
Line 1,316: | Line 1,316: | ||
| [[Flora Canou]] (2023) | | [[Flora Canou]] (2023) | ||
|- | |- | ||
| [[4914/4913|Baladisma | | [[4914/4913|Baladisma]] | ||
]] | |||
| Trisu-athozo | | Trisu-athozo | ||
| 17u<sup>3</sup>3oz-2 | | 17u<sup>3</sup>3oz-2 | ||
Line 1,341: | Line 1,340: | ||
| [[User:Xenllium|Xenllium]] (2023) | | [[User:Xenllium|Xenllium]] (2023) | ||
|- | |- | ||
| Centisma | | [[Centisma]] | ||
| quinquinquadquadso | | quinquinquadquadso | ||
| 17o<sup>400</sup>194 | | 17o<sup>400</sup>194 | ||
| | | | ||
| 2.3.17 {{Monzo|-1001 -400 400}} | | 2.3.17 {{Monzo| -1001 -400 400 }} | ||
| 0.16345 | | 0.16345 | ||
| CompactStar (2023) | | CompactStar (2023) | ||
Line 1,448: | Line 1,447: | ||
| [[User:Xenllium|Xenllium]] (2023) | | [[User:Xenllium|Xenllium]] (2023) | ||
|- | |- | ||
|[[Mercurial comma]] | | [[Mercurial comma]] | ||
|Quinnosu-abiruyo | | Quinnosu-abiruyo | ||
|19o<sup>5</sup>17u<sup>5</sup>rryy-3 | | 19o<sup>5</sup>17u<sup>5</sup>rryy-3 | ||
|557122275 / 556583944 | | 557122275 / 556583944 | ||
| | | {{Monzo| -3 2 2 -2 0 0 -5 5 }} | ||
|1.6736 | | 1.6736 | ||
|[[User:Yourmusic Productions|Yourmusic Productions]] (2020) | | [[User:Yourmusic Productions|Yourmusic Productions]] (2020) | ||
|- | |- | ||
| [[1216/1215|Password, Eratosthenes' comma]] | | [[1216/1215|Password, Eratosthenes' comma]] | ||
Line 1,966: | Line 1,965: | ||
| [[User:Xenllium|Xenllium]] (2023) | | [[User:Xenllium|Xenllium]] (2023) | ||
|- | |- | ||
|[[961/960|Trricesimoprimal quarter-tones comma]] | | [[961/960|Trricesimoprimal quarter-tones comma]] | ||
|Bithiwo-agu | | Bithiwo-agu | ||
| | | | ||
|961/960 | | 961/960 | ||
|2.3.5.31 [-6 -1 -1 2⟩ | | 2.3.5.31 [-6 -1 -1 2⟩ | ||
|1.8024 | | 1.8024 | ||
|[[Godtone]] (2024) | | [[Godtone]] (2024) | ||
|- | |- | ||
| [[1024/1023|Kibisma]] | | [[1024/1023|Kibisma]] | ||
Line 1,980: | Line 1,979: | ||
| 2.3.11.31 {{Monzo| 10 -1 -1 -1 }} | | 2.3.11.31 {{Monzo| 10 -1 -1 -1 }} | ||
| 1.6915 | | 1.6915 | ||
|[[User:Xenllium|Xenllium]] (2023) | | [[User:Xenllium|Xenllium]] (2023) | ||
|- | |- | ||
|[[1025/1024|Kilobytisma]] | | [[1025/1024|Kilobytisma]] | ||
|Fowoyoyo | | Fowoyoyo | ||
|41oyy-2 | | 41oyy-2 | ||
|1025/1024 | | 1025/1024 | ||
|2.5.41 [-10 2 1⟩ | | 2.5.41 [-10 2 1⟩ | ||
|1.6898 | | 1.6898 | ||
|[[CompactStar]] (2024) | | [[CompactStar]] (2024) | ||
|- | |- | ||
| [[1682/1681|Shaftesburisma]] | | [[1682/1681|Shaftesburisma]] | ||
Line 2,006: | Line 2,005: | ||
| [[User:Kaiveran|Kaiveran]] (2023) | | [[User:Kaiveran|Kaiveran]] (2023) | ||
|- | |- | ||
|[[Magnetisma]] | | [[Magnetisma]] | ||
|Tritrila-quinquadtrifo thutweno | | Tritrila-quinquadtrifo thutweno | ||
|L<sup>9</sup>43u<sup>60</sup>29o<sup>60</sup>-8 | | L<sup>9</sup>43u<sup>60</sup>29o<sup>60</sup>-8 | ||
| | | | ||
|2.3.29.43 | | 2.3.29.43 {{monzo| -61 60 60 -60 }} | ||
|0.86936 | | 0.86936 | ||
|[[User:Eliora|Eliora]] (2022) | | [[User:Eliora|Eliora]] (2022) | ||
|- | |- | ||
| [[2520/2519|Platonisma]] | | [[2520/2519|Platonisma]] | ||
Line 2,018: | Line 2,017: | ||
| | | | ||
| 2520/2519 | | 2520/2519 | ||
| 2.3.5.7.11.229 {{ | | 2.3.5.7.11.229 {{monzo| 3 2 1 1 -1 -1 }} | ||
| 0.68713 | | 0.68713 | ||
| [[User:Eliora|Eliora]] (2022) | | [[User:Eliora|Eliora]] (2022) | ||
Line 2,054: | Line 2,053: | ||
| [[User:Xenllium|Xenllium]] (2023) | | [[User:Xenllium|Xenllium]] (2023) | ||
|- | |- | ||
|[[5041/5040|Third brown pair comma]], 19th highly compositema | | [[5041/5040|Third brown pair comma]], 19th highly compositema | ||
| | | | ||
|71oorg1 | | 71oorg1 | ||
|5041/5040 | | 5041/5040 | ||
|2.3.5.7.71 | | 2.3.5.7.71 {{monzo| -4 -2 -1 -1 2 }} | ||
|0.34347 | | 0.34347 | ||
|[[Eliora]] (2022) | | [[Eliora]] (2022) | ||
|- | |- | ||
| [[5292/5291|Bullionisma]] | | [[5292/5291|Bullionisma]] | ||
Line 2,098: | Line 2,097: | ||
| 41u23u19o3o1uz2 | | 41u23u19o3o1uz2 | ||
| 10374/10373 | | 10374/10373 | ||
| 2.3.7.11.13.19.23.41 {{monzo|1 1 1 -1 1 1 -1 -1}} | | 2.3.7.11.13.19.23.41 {{monzo| 1 1 1 -1 1 1 -1 -1 }} | ||
| 0.16689 | | 0.16689 | ||
| [[Francium]] (2024) | | [[Francium]] (2024) | ||
Line 2,110: | Line 2,109: | ||
| [[Francium]] (2024) | | [[Francium]] (2024) | ||
|- | |- | ||
|[[Berylisma]] | | [[Berylisma]] | ||
|Quadthisolu | | Quadthisolu | ||
|37o<sup>4</sup>1u<sup>4</sup>4 | | 37o<sup>4</sup>1u<sup>4</sup>4 | ||
|1874161 / 1874048 | | 1874161 / 1874048 | ||
|2.11.37 | | 2.11.37 {{monzo| -7 -4 4 }} | ||
|0.10439 | | 0.10439 | ||
|[[User:Jerdle|Jerdle]] (2023) | | [[User:Jerdle|Jerdle]] (2023) | ||
|- | |- | ||
| [[Totziensisma]] | | [[Totziensisma]] | ||
| Thiwotwetholurutrigu | | Thiwotwetholurutrigu | ||
|31o23o1urg<sup>3</sup>1 | | 31o23o1urg<sup>3</sup>1 | ||
| 19251/19250 | | 19251/19250 | ||
| 2.3.5.7.11.23.31 {{monzo| -1 3 -3 -1 -1 0 0 0 1 0 1 }} | | 2.3.5.7.11.23.31 {{monzo| -1 3 -3 -1 -1 0 0 0 1 0 1 }} | ||
Line 2,182: | Line 2,181: | ||
| [[Budjarn Lambeth]] (2023) | | [[Budjarn Lambeth]] (2023) | ||
|- | |- | ||
|[[Odyssey comma]] | | [[Odyssey comma]] | ||
|Bitwenotwetho-athulurutrigu | | Bitwenotwetho-athulurutrigu | ||
|29oo23oo3u1urg<sup>3</sup>2 | | 29oo23oo3u1urg<sup>3</sup>2 | ||
|4004001/4004000 | | 4004001/4004000 | ||
|2.3.5.7.11.13.23.29 {{ | | 2.3.5.7.11.13.23.29 {{monzo| -5 2 -3 -1 -1 -1 0 0 2 2 }} | ||
|0.00043238 | | 0.00043238 | ||
|[[Tristan Bay]] (2024) | | [[Tristan Bay]] (2024) | ||
|- | |- | ||
| [[Borcherdsma]] | | [[Borcherdsma]] | ||
Line 2,194: | Line 2,193: | ||
| | | | ||
| 160 561 400 000 / 160 561 399 999 | | 160 561 400 000 / 160 561 399 999 | ||
| 2.5.7.11.13.19.29.31.47.59.71 {{ | | 2.5.7.11.13.19.29.31.47.59.71 {{monzo| 6 5 -1 -2 -1 1 1 1 1 -3 -1 }} | ||
| 1.0783 × 10<sup>-8</sup> | | 1.0783 × 10<sup>-8</sup> | ||
| [[User:Akselai|Akselai]] (2024) | | [[User:Akselai|Akselai]] (2024) |
Revision as of 10:47, 23 October 2024
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. (However, a considerably larger comma can be unnoticeable in an adaptive tuning context. Instead of one large pitch shift of the entire comma, there can be many small pitch shifts of a fraction of a comma, one per chord change.)
For commas over 100 cents in size, see Large comma; for commas in between 30 and 100 cents in size, see Medium comma; and for commas over 3.5 cents in size, see Small comma.
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.
List of commas, by prime limit
3-limit commas
Name(s) | Color Name | Monzo | Cents | Named by | |
---|---|---|---|---|---|
359-comma | Wa-359 | w-359 | [-569 359⟩ | 1.8453 | |
Sasktel comma | Wa-306 | w-306 | [485 -306⟩ | 1.7697 | |
Satanic comma | Wa-665 | w-665 | [-1054 665⟩ | 0.075575 | Marc Jones (1990) |
15601-comma | Wa-15601 | w-15601 | [24727 -15601⟩ | 0.031499 | |
31867-comma | Wa-31867 | w-31867 | [-50508 31867⟩ | 0.012577 | |
Archangelic comma | Wa-190537 | w-190537 | [301994 -190537⟩ | 0.00011162 | Dawson Berry (2022) |
5-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Dodifo comma | Quadla-sepquinyo | L4y35-9 | [-67 -9 35⟩ | 3.3850 | Petr Pařízek (2011) | |
Vishnuzma, semisuper comma | Sasepbigu | sg144 | 6115295232 / 6103515625 | [23 6 -14⟩ | 3.3380 | Gene Ward Smith (2002) |
Enneadeca, 19-tone-comma | Neyo | y19-4 | 19073486328125 / 19042491875328 |
[-14 -19 19⟩ | 2.8155 | Gene Ward Smith (2002) |
Vavoom comma | Quinla-seyo | L5y17-7 | [-68 18 17⟩ | 2.5232 | Paul Erlich (2002) | |
Tricot comma | Quadsa-triyo | s4y33 | 68719476736000 / 68630377364883 |
[39 -29 3⟩ | 2.2461 | Paul Erlich (2002) |
Schisma | Layo | Ly-2 | 32805 / 32768 | [-15 8 1⟩ | 1.9537 | Hermann von Helmholtz, Alexander Ellis (1875) |
Aluminium comma | Sepsa-thegu | s7g138 | [92 -39 -13⟩ | 1.6767 | Eliora (2023) | |
Counterschisma | Tribilagu | L6g-5 | [-69 45 -1⟩ | 1.6613 | Gene Ward Smith (2003) | |
Neon comma | Laquinquinbigu | [21 60 -50⟩ | 1.6144 | Eliora (2024) | ||
Septendecima | Lala-sebiyo | LLy34-8 | [-52 -17 34⟩ | 1.4313 | ||
Luna comma, hemithirds comma | Sasa-quintrigu | ssg155 | 274877906944 / 274658203125 |
[38 -2 -15⟩ | 1.3843 | Gene Ward Smith (2002) |
Minortone comma, minortonma | Trila-segu | L3g172 | [-16 35 -17⟩ | 1.0919 | Gene Ward Smith (2002) | |
Ennealimma | Satritribiyo | sy18-3 | 7629394531250 / 7625597484987 |
[1 -27 18⟩ | 0.86183 | Paul Erlich, Gene Ward Smith (2001) |
Astro comma | Tribisa-thiwegu | s6g3110 | [91 -12 -31⟩ | 0.81486 | Paul Erlich (2002) | |
Gaster comma | Quadbila-negu | L8g19-3 | [-70 72 -19⟩ | 0.79950 | Xenllium (2022) | |
Niobium comma | [-875 492 41⟩ | 0.72269 | Eliora (2023) | |||
Kwazy comma | Quadla-quadquadyo | L4y16-6 | [-53 10 16⟩ | 0.56943 | Paul Erlich, Gene Ward Smith (2002) | |
Whoosh | Saletrigu | sg337 | [37 25 -33⟩ | 0.52246 | Paul Erlich (2002) | |
Egads | Setriyo | y51-9 | [-36 -52 51⟩ | 0.33936 | Paul Erlich (2002) | |
Monzisma | Quinsa-yoyo | s5yy4 | [54 -37 2⟩ | 0.29240 | Margo Schulter (2001) | |
Fortune | Tritrila-sepbiyo | L9y14-9 | [-107 47 14⟩ | 0.27703 | Paul Erlich (2002) | |
Gross | Quinbisa-fosegu | s10g4715 | [144 -22 -47⟩ | 0.24543 | Paul Erlich (2002) | |
Senior | Quadla-sepquingu | L4g354 | [-17 62 -35⟩ | 0.23007 | Paul Erlich (2002) | |
Counterquectisma, deltapion | Quintritrilayo | L45y-31 | [-500 314 1⟩ | 0.18399 | Eliora (2023) | |
Quectisma | [554 -351 1⟩ | 0.10841 | CompactStar (2023) | |||
Raider | Tritrisa-thiseyo | s9y371 | [71 -99 37⟩ | 0.062327 | Gene Ward Smith (2002) | |
Pirate | Quinla-sepsepyo | L5y49-12 | [-90 -15 49⟩ | 0.046966 | Paul Erlich (2002) | |
Viking | Nela-siweyo | L19y61-23 | [-251 69 61⟩ | 0.031605 | Gene Ward Smith (2002) | |
Kirnberger's atom | Sepbisa-quadtrigu | s14g1212 | [161 -84 -12⟩ | 0.015361 | ||
Selenia | [-433 -137 280⟩ | 0.0047636 | ||||
Titania | [2746 -521 -827⟩ | 0.0031829 | ||||
Quark | Twethebila-sequinyo | [-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 | Named by | |
---|---|---|---|---|---|---|
Decovulture comma | Sasa-birugugu | ssrrg42 | 67108864 / 66976875 | [26 -7 -4 -2⟩ | 3.4083 | Xenllium (2021) |
Rainy comma | Laquinzo-atriyo | Lz5y32 | 2100875/2097152 | [-21 0 3 5⟩ | 3.0706 | +merlan #flirora (2020) |
Pontiqak comma | Lazozotritriyo | Lzzy9-2 | 95703125 / 95551488 | [-17 -6 9 2⟩ | 2.7452 | Xenllium (2021) |
Pessoalisma | Sasa-tribiru-agugu | ssr6gg-2 | 2147483648 / 2144153025 | [31 -6 -2 -6⟩ | 2.6871 | Dawson Berry (2023) |
Mitonisma | Laquadzo-agu | Lz4g2 | 5250987/5242880 | [-20 7 -1 4⟩ | 2.6749 | Xenllium (2021) |
Horwell comma | Lazoquinyo | Lzy5-2 | 65625/65536 | [-16 1 5 1⟩ | 2.3495 | Gene Ward Smith (2005) |
Forge comma | Lala-trizo-aquingu | LLz3g52 | 1640558367 / 1638400000 | [-19 14 -5 3⟩ | 2.2792 | Dawson Berry (2022) |
109-7-comma | L16z10939 | [-306 0 0 109⟩ | 2.0238 | Eliora (2024) | ||
Neptunisma | Laruruleyo | Lrry11-4 | 48828125 / 48771072 | [-12 -5 11 -2⟩ | 2.0240 | Xenllium (2021) |
Slendrisma, slendric schisma | Sasa-quinbiru | ssr10-4 | 68719476736 / 68641485507 | [36 -5 0 -10⟩ | 1.9659 | Xenllium (2024) |
Septimal ennealimma | Tritrizo | z95 | 40353607 / 40310784 | [-11 -9 0 9⟩ | 1.8382 | Eliora (2021) |
Meter | Latriru-asepyo | Lr3y7-4 | 703125/702464 | [-11 2 7 -3⟩ | 1.6283 | |
Skeetsma | Lala-rutrigu | LLrg3-2 | 14348907 / 14336000 | [-14 15 -3 -1⟩ | 1.5580 | Jerdle (2021) |
Breeze comma | Laquadru-atriyo | Lr4y3-4 | 2460375 / 2458624 | [-10 9 3 -4⟩ | 1.2325 | Tristan Bay (2024) |
Wizma | Quinzo-ayoyo | z5yy3 | 420175/419904 | [-6 -8 2 5⟩ | 1.1170 | |
Supermatertisma | Lasepru-atritriyo | Lr7y9-6 | 52734375 / 52706752 | [-6 3 9 -7⟩ | 0.90708 | Xenllium (2021) |
Trienstonisma | Laquinru-agu | Lr5g-4 | 43046721 / 43025920 | [-9 16 -1 -5⟩ | 0.83677 | Xenllium (2021) |
Breedsma | Bizozogu | z4gg3 | 2401/2400 | [-5 -1 -2 4⟩ | 0.72120 | Gene Ward Smith (2004) |
Gariatom | Quintrila-tribizo | 15z6-8 | [-169 96 0 6⟩ | 0.63552 | Tristan Bay (2023) | |
171-9/7-comma | Quadtribisa-netritrizo | [62 -342 0 171⟩ | 0.61971 | |||
Supermasesquartisma | Laquadbiru-aquinyo | Lr8y5-6 | 184528125 / 184473632 | [-5 10 5 -8⟩ | 0.51133 | Xenllium (2021) |
571-7-comma | [1603 0 0 -571⟩ | 0.40741 | ||||
Ragisma | Zoquadyo | zy41 | 4375/4374 | [-1 -7 4 1⟩ | 0.39576 | |
Septiruthenia, septimal ruthenia | Nela-lequadzo | L19z448 | [-263 88 0 44⟩ | 0.37996 | Eliora (2022) | |
Akjaysma | Trisa-seprugu | s3r7g71 | 140737488355328 / 140710042265625 |
[47 -7 -7 -7⟩ | 0.33765 | Aaron Krister Johnson (2011) |
Landscape comma | Trizogugu | z3g63 | 250047/250000 | [-4 6 -6 3⟩ | 0.32544 | |
Izar comma, bapbo schismina | Saquadtrizo-asepgu | sz12g78 | 13841287201 / 13839609375 |
[0 -11 -7 12⟩ | 0.20987 | |
Nanisma | Quinbisaru | s10r7 | [109 -67 0 -1⟩ | 0.18904 | Margo Schulter (2002) | |
laleruyo (171&1547&3125) | Laleruyo | Lr11y11-8 | 3955078125 / 3954653486 | [-1 4 11 -11⟩ | 0.18588 | |
87-fold starling comma | Twenetri-zotrigu | [86 174 -261 87⟩ | 0.14469 | |||
Revopentisma | Sasa-neru | ssr19-8 | [47 4 0 -19⟩ | 0.12778 | Eliora (2023) | |
Starscape comma | Latritriru-ayo | Lr9y-6 | 645700815 / 645657712 | [-4 17 1 -9⟩ | 0.11557 | |
Nommisma | Quinla-zoyoyo | L5zzy-4 | [-55 30 2 1⟩ | 0.10336 | Flora Canou (2023) | |
Euzenius comma | Sabiruquinyo | srry10-3 | 78125000 / 78121827 | [3 -13 10 -2⟩ | 0.070314 | |
171&1547&4973 comma | Satwethezo-atritribigu | sz23g1815 | [1 -15 -18 23⟩ | 0.023986 | ||
Technologisma | Trisa-quinbiru-agu | s3r10g-3 | [51 -13 -1 -10⟩ | 0.012210 | Godtone (2024) | |
Termite | Satritribiru-athiseyo | sr18y37-14 | [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 | Named by | |
---|---|---|---|---|---|---|
Lifthrasirsma | Sasa-bilugu | ss1uugg3 | 536870912 / 535869675 | [29 -11 -2 0 -2⟩ | 3.2317 | Flora Canou (2023) |
Swetisma | Lururuyo | 1urry-2 | 540/539 | [2 3 1 -2 -1⟩ | 3.2090 | Manuel Op de Coul (2004) |
Anthill comma | Satrilo-ayoyo | s1o3yy1 | 5532400/531441 | [4 -12 2 0 3⟩ | 3.1212 | Budjarn Lambeth (2024) |
Wizardharry comma, pine comma | Triluyo | 1u3y31 | 4000/3993 | [5 -1 3 0 -3⟩ | 3.0323 | Godtone (2023) for pine comma |
Symbiotic comma | Salozo | s1oz2 | 19712/19683 | [8 -9 0 1 1⟩ | 2.5488 | Dawson Berry (2020) |
Vishdel comma | Saloquadgu | s1og42 | 5632/5625 | [9 -2 -4 0 1⟩ | 2.1531 | |
Nexus comma, nexisma | Tribilo | 1o6-2 | 1771561/1769472 | [-16 -3 0 0 6⟩ | 2.0427 | Dawson Berry (2020) |
Reef comma | Salubizogu | s1uzzgg3 | 200704/200475 | [12 -6 -2 2 -1⟩ | 1.9764 | Dawson Berry (2022) |
Argyria, tinge | Lolotrizo | 1ooz32 | 41503/41472 | [-9 -4 0 3 2⟩ | 1.2936 | Gayle Young (2018) and Todd Harrop (2020) for tinge Lériendil (2024) for argyria |
Alpharabian schisma | 618121839509504 / 617673396283947 | [18 -31 0 0 9⟩ | 1.2565 | Dawson Berry (2024) | ||
Olympia | Salururu | s1urr1 | 131072/130977 | [17 -5 0 -2 -1⟩ | 1.2552 | Flora Canou (2021) |
11-cycle schisma, 37-11-comma | Quinsa-thiselu | s51u379 | [128 0 0 0 -37⟩ | 1.2361 | ||
Seascape comma, undecimal hemifourths comma | Bilozogugu | 1oozzg42 | 160083/160000 | [-8 3 -4 2 2⟩ | 0.89784 | Tristan Bay (2024) for seascape comma |
Sesdecal | Laquadlu-asepyo | L1u4y7-2 | 234375/234256 | [-4 1 7 0 -4⟩ | 0.87923 | |
Triagnoshenisma | Trila-trilo-agu | L31o3g-3 | 171885556953/171798691840 | [-35 17 -1 0 3⟩ | 0.87513 | Dawson Berry, Frostburn (2024) |
Frameshift comma | Quadla-trilu | L41u3-3 | 22876792454961 / 22866405883904 |
[-34 28 0 0 -3⟩ | 0.78620 | Dawson Berry (2021) |
Hemigail | Quadlo-atriru | 1o4r3-3 | 43923/43904 | [-7 1 0 -3 4⟩ | 0.74905 | |
Sossmarvel comma | Trila-lusepruyoyo | L31ur7y14-8 | 9730975341796875 / 9726998192586752 | [-30 13 14 -7 -1⟩ | 0.70772 | Dawson Berry (2022) |
Lehmerisma | Loloruyoyo | 1ooryy-2 | 3025/3024 | [-4 -3 2 -1 2⟩ | 0.57240 | Gene Ward Smith (2004) |
Ptolemi-nicema | Quinbisa-twethetriluyoyo | s101u69y138-8 | [137 -138 138 0 -69⟩ | 0.56437 | Eliora (2023) | |
Elysia | Bilutrizo | 1uuz64 | 117649/117612 | [-2 -5 0 6 -2⟩ | 0.54455 | Lériendil (2024) |
Quartisma | Saquinlu-azo | s1u5z3 | 117440512 / 117406179 | [24 -6 0 1 -5⟩ | 0.50619 | Dawson Berry (2020) |
Kalisma, Gauss' comma | Bilorugu | 1oorrgg-2 | 9801/9800 | [-3 4 -2 -2 2⟩ | 0.17665 | Margo Schulter (2000) |
Odiheim | Luluquinzo-aquadgu | 1uuz5g44 | 151263/151250 | [-1 2 -4 5 -2⟩ | 0.14879 | |
Countercentisma | [-1 -3300 2700 0 -300⟩ | 0.14187 | CompactStar (2024) | |||
Spoob | Tribiluzozogu | 1u6z12g68 | 27682574402 / 27680640625 | [1 0 -6 12 -6⟩ | 0.12094 | Eliora (2023) |
Syntonisma | Trisa-lusepyo | s31uy72 | 83886080000000 / 83881572334857 |
[30 -27 7 0 -1⟩ | 0.093031 | Xenllium (2023) |
Parimo | Satribilo-agu | s1o6g1 | 1771561/1771470 | [-1 -11 -1 0 6⟩ | 0.088931 | |
Parisma | Laquadlu-arurugu | L1u4rrg-2 | 14348907 / 14348180 | [-2 15 -1 -2 -4⟩ | 0.087717 | |
Blare comma | Laquadquadlo-aquadtrizo | L1o16z124 | 636003407850068828189211361 / 635974777627126753067532288 |
[-51 -24 0 12 16⟩ | 0.077935 | Akselai (2024) |
Ultimo | Quadlo-asepru-ayoyo | 1o4r7yy-5 | 3294225/3294172 | [-2 2 2 -7 4⟩ | 0.027854 | |
Parismina | Sasa-quinbilo-azozo | ss1o10zz2 | 2541867610898 / 2541865828329 |
[1 -26 0 2 10⟩ | 0.0012141 |
13-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Wilschisma | Sathoyo | s3oy2 | 532480/531441 | [13 -12 1 0 0 1⟩ | 3.3814 | Flora Canou (2021) |
Bean | Sathuquinlu | s3u1u52 | 2097152/2093663 | [21 0 0 0 -5 -1⟩ | 2.8826 | |
Tunbarsma | Thuquadyo | 3uy4-2 | 625/624 | [-4 -1 4 0 0 -1⟩ | 2.7722 | |
Island comma | Bithogu | 3oogg2 | 676/675 | [2 -3 -2 0 0 2⟩ | 2.5629 | Mike Battaglia (2011) |
Squbema | Lathuru | L3ur-2 | 729/728 | [-3 6 0 -1 0 -1⟩ | 2.3764 | |
Petrma | Trithu-aloyoyo | 3u31oyy-2 | 2200/2197 | [3 0 2 0 1 -3⟩ | 2.3624 | |
Tridecimal eighth-octave comma | Thotrilo-agu | 3o1o3g1 | 17303/17280 | [-7 -3 -1 0 3 1⟩ | 2.3028 | Budjarn Lambeth (2024) |
Nicola | Thululuzoyoyo | 3u1uuzyy1 | 1575/1573 | [0 2 2 1 -2 -1⟩ | 2.1998 | |
Sinbadma | Tholozotrigu | 3o1ozg32 | 1001/1000 | [-3 0 -3 1 1 1⟩ | 1.7303 | |
Tristanisma | Tholutrizo-agu | 3o1uz3g3 | 4459/4455 | [0 -4 -1 3 -1 1⟩ | 1.5537 | Tristan Bay (2024) |
Tridecapyth comma | Trisatho | s33o3 | 3489660928/3486784401 | [28 -20 0 0 0 1⟩ | 1.4276 | Dawson Berry (2021) |
Cantonisma | Trithoru-ayo | 3o3r3y-2 | 10985/10976 | [-5 0 1 -3 0 3⟩ | 1.4190 | Margo Schulter (2013) |
Punctisma | Sathutrizogu | s3uz3g33 | 43904/43875 | [7 -3 -3 3 0 -1⟩ | 1.1439 | Jerdle, Dawson Berry (2023) |
Neguschisma | Lala-thulozo | LL3u1oz-2 | 13640319/13631488 | [-20 11 0 1 1 -1⟩ | 1.1212 | Tristan Bay (2024) |
Lummic comma | Tholotriru-agu | 3o1or3g-2 | 1716/1715 | [2 1 -1 -3 1 1⟩ | 1.0092 | |
Pseudovishnuzma | Sasa-thozosepbigu | ss3ozg145 | 6106906624 / 6103515625 | [26 0 -14 1 0 1⟩ | 0.96157 | Eliora (2023) |
Sercloreminisma | Bithuthuzo-agu | 3u4zzg1 | 142884/142805 | [2 6 -1 2 0 -4⟩ | 0.95746 | Francium (2024) |
Ibnsinma, sinaisma | Tholuruyo | 3o1ury1 | 2080/2079 | [5 -3 1 -1 -1 1⟩ | 0.83252 | Margo Schulter, Gene Ward Smith (2012) Flora Canou (2023) |
Phaotic comma, phaotisma | Sathotriyo | s3uy31 | 256000/255879 | [11 -9 3 0 0 -1⟩ | 0.81847 | Dawson Berry (2021) |
Schismina | Sathurugu | s3urg1 | 4096/4095 | [12 -2 -1 -1 0 -1⟩ | 0.42272 | |
Leprechaun comma | Thotholuyoyo | 3oo1uyy1 | 4225/4224 | [-7 -1 2 0 -1 2⟩ | 0.40981 | Margo Schulter (2012) |
Jacobin comma | Thotrilu-agu | 3o1u3g2 | 6656/6655 | [9 0 -1 0 -3 1⟩ | 0.26012 | Gene Ward Smith (2014) |
Catasma | Latrithuyoyo | L3u3y6-3 | 140625/140608 | [-6 2 6 0 0 -3⟩ | 0.20930 | Tristan Bay (2023) |
Harmonisma | Thuthutrilo-aru | 3uu1o3r-2 | 10648/10647 | [3 -2 0 -1 3 -2⟩ | 0.16260 | Margo Schulter (2002) |
Pentonisma | Saquinthuzogu | s3u5z5g54 | 281974669312 / 281950621875 |
[24 -5 -5 5 0 -5⟩ | 0.14765 | Xenllium (2022) |
Grossmisma | septholo-azogu | 3o71o7zg2 | [-30 -13 -1 1 7 7⟩ | 0.016410 | Xenllium (2023) | |
Chalmersia | Lathotholurugugu | L3oo1urgg1 | 123201/123200 | [-6 6 -2 -1 -1 2⟩ | 0.01405 | Gene Ward Smith (2003) |
17-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Monardisma, tsaharuk comma | Solorugu | 17o1org1 | 561/560 | [-4 1 -1 -1 1 0 1⟩ | 3.0887 | Scott Dakota (2023) for monardisma |
Dakotisma | Soluzoyo | 17o1uzy2 | 595/594 | [-1 -3 1 1 -1 0 1⟩ | 2.9121 | Praveen Venkataramana (2022) |
September comma | Sutholoruyo | 17u3o1ory-2 | 715/714 | [-1 -1 1 -1 1 1 -1⟩ | 2.4230 | Scott Dakota (2021) |
Horizma, horizon comma | Sothuzozo | 17o3uzz2 | 833/832 | [-6 0 0 2 0 -1 1⟩ | 2.0796 | Jerdle (2021) |
Ainisma, ainic comma | Sutholugu | 17u3o1ug1 | 936/935 | [3 2 -1 0 -1 1 -1⟩ | 1.8506 | Dawson Berry (2020) |
Fidesma | Susuruyoyo | 17uuryy-3 | 2025/2023 | [0 4 2 -1 0 0 -2⟩ | 1.7107 | Dawson Berry (2023) |
Twosquare comma | Sulolo | 17u1oo-2 | 1089/1088 | [-6 2 0 0 2 0 -1⟩ | 1.5905 | Kaiveran (2018) |
Quadrantonisma | Sosolurugu | 17oo1urg2 | 1156/1155 | [2 -1 -1 -1 -1 0 2⟩ | 1.4983 | Flora Canou (2023) |
Noellisma | Subizoyo | 17uzzyy1 | 1225/1224 | [-3 -2 2 2 0 0 -1⟩ | 1.4138 | Flora Canou (2022) |
Cimbrisma | Sothubiruyo | 17o3urryy-2 | 1275/1274 | [-1 1 2 -2 0 -1 1⟩ | 1.3584 | Xenllium (2023) |
Palingenetic comma, palingenesis | Suzogugu | 17uzgg1 | 1701/1700 | [-2 5 -2 1 0 0 -1⟩ | 1.0181 | Dawson Berry (2021) |
Laser comma | Lasorutriyo | L17ory3-2 | 57375/57344 | [-13 3 3 -1 0 0 1⟩ | 0.93564 | Jerdle (2023) |
Xenisma | Sululutrizo | 17u1uuz32 | 2058/2057 | [1 1 0 3 -2 0 -1⟩ | 0.84143 | Margo Schulter (2000) |
Cyclops comma | Sothululuru | 17o3u1uur1 | 11016/11011 | [3 4 0 -1 -2 -1 1⟩ | 0.78596 | Eliora (2022) |
Mavka comma, archagallisma | Trisu-agu | 17u3g-2 | 24576/24565 | [13 1 -1 0 0 0 -3⟩ | 0.77506 | Eliora (2022) for mavka comma |
Heptacircle comma | Sothologu | 17o3o1og2 | 2431/2430 | [-1 -5 -1 0 1 1 1⟩ | 0.71230 | Xenllium (2023) |
Sperasma | Subiruyoyo | 17urry4-3 | 2500/2499 | [2 -1 4 -2 0 0 -1⟩ | 0.69263 | Dawson Berry (2023) |
Sextantonisma | Sosothugugu | 17oo3ugg2 | 2601/2600 | [-3 2 -2 0 0 1 3⟩ | 0.66573 | Flora Canou (2023) |
Baladisma | Trisu-athozo | 17u33oz-2 | 4914/4913 | [1 3 0 1 0 1 -3⟩ | 0.35234 | Xenllium (2023) |
Chlorisma | Sutriru | 17ur3-3 | 5832/5831 | [3 6 0 -3 0 0 -1⟩ | 0.29688 | Jerdle (2021) |
Galileisma | Lalesu-agu | L17u11g-7 | 171382426877952 / 171359481538165 |
[14 21 -1 0 0 0 -11⟩ | 0.23180 | Xenllium (2023) |
Centisma | quinquinquadquadso | 17o400194 | 2.3.17 [-1001 -400 400⟩ | 0.16345 | CompactStar (2023) | |
Flashma | Sotholuzotrigu | 17o3o1uzg33 | 12376/12375 | [3 -2 -3 1 -1 1 1⟩ | 0.13989 | Kaiveran (2016) |
Sparkisma | Sululuruyoyo | 17u1uuryy-2 | 14400/14399 | [6 2 2 -1 -2 0 -1⟩ | 0.12023 | Kaiveran (2016) |
Insanobromisma | Sepquinsuyoyo | 17u35y70-29 | [36 -35 70 0 0 0 -35⟩ | 0.095608 | Eliora (2023) | |
28561/28560 | Suquadtho-arugu | 17u3o4rg1 | 28561/28560 | [-4 -1 -1 -1 0 4 -1⟩ | 0.060616 | |
E-shaped comma | Susuthoquadzo | 17uu3oz42 | 31213/31212 | [-2 -3 0 4 0 1 -2⟩ | 0.055466 | Xenllium (2023) |
Lateral comma | Sasuthotholoyo | s17u3oo1oy1 | 37180/37179 | [2 -7 1 0 1 2 -1⟩ | 0.046564 | Akselai (2024) |
Clevelandisma | 2000033/2000000 | [-7 0 -6 6 0 0 1⟩ | 0.028565 | Lériendil (2024) | ||
Scintillisma | Lasuthuluquadzo-agu | L17u3u1uz4g2 | 194481/194480 | [-4 4 -1 4 -1 -1 -1⟩ | 0.0089018 | Margo Schulter (2012) |
Aksial comma | Sotritho-aquinru-agu | 17o3o3r5g-2 | 336141/336140 | [-2 2 -1 -5 0 3 1⟩ | 0.0051503 | Akselai (2024) |
19-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Undevicesimal comma, undevicesimal schisma, Boethius' comma, Hunt 19-minor mediant comma |
Lano | L19o1 | 513/512 | [-9 3 0 0 0 0 0 1⟩ | 3.3780 | Plainsound Music Edition (2020)[1] for undevicesimal schisma |
Buddhisma | Nosolulu | 19o17o1uu2 | 969/968 | [-3 1 0 0 -2 0 1 1⟩ | 1.7875 | Xenllium (2023) |
Mercurial comma | Quinnosu-abiruyo | 19o517u5rryy-3 | 557122275 / 556583944 | [-3 2 2 -2 0 0 -5 5⟩ | 1.6736 | Yourmusic Productions (2020) |
Password, Eratosthenes' comma | Sanogu | s19og2 | 1216/1215 | [6 -5 -1 0 0 0 0 1⟩ | 1.4243 | |
Solvejgsma | Nutrilo-arugu | 19u1o3rg-2 | 1331/1330 | [-1 0 -1 -1 3 0 0 -1⟩ | 1.3012 | Xenllium (2023) |
Aureusma | Nunusosoyo | 19uu17ooy1 | 1445/1444 | [-2 0 1 0 0 0 2 -2⟩ | 1.1985 | Flora Canou (2021) |
Pinkanberry | Nuthothogu | 19u3o3og1 | 1521/1520 | [-4 2 -1 0 0 2 0 -1⟩ | 1.1386 | Kaiveran (2021) |
Kevolisma | Nulozoyo | 19u1ozy1 | 1540/1539 | [2 -4 1 1 1 0 0 -1⟩ | 1.1245 | Xenllium (2023) |
Ramanujanisma | Nothozo | 19o3oz2 | 1729/1728 | [-6 -3 0 1 0 1 0 1⟩ | 1.0016 | Frédéric Gagné (2021) |
Heartlandisma | Nonoloruru | 19oo1orr1 | 3971/3969 | [0 -4 0 -2 1 0 0 2⟩ | 0.87216 | Xenllium (2023) |
Trichthonisma | Nulotrigu | 19u1og31 | 2376/2375 | [3 3 -3 0 1 0 0 -1⟩ | 0.72879 | Xenllium (2023) |
Crawma | Nuquadso-atrithu | 19u17o43u32 | 83521/83486 | [-1 0 0 0 0 -3 4 -1⟩ | 0.72564 | groundfault (2023) |
Blumeyer comma | Nosuthulu | 19o17u3u1u1 | 2432/2431 | [7 0 0 0 -1 -1 -1 1⟩ | 0.71200 | Douglas Blumeyer (2015) |
Neovulture comma, neovulturisma | Nothulozogugu | 19o3u1ozgg2 | 2926/2925 | [1 -2 -2 1 1 -1 0 1⟩ | 0.59177 | Xenllium (2023) |
Neomirkwai comma, neomirkwaisma | Nuluzozogu | 19u1uzzg2 | 3136/3135 | [6 -1 -1 2 -1 0 0 -1⟩ | 0.55214 | Xenllium (2023) |
Martebisma | Nunuthotriyo | 19uu3oy3-2 | 3250/3249 | [1 -2 3 0 0 1 0 -2⟩ | 0.53277 | Xenllium (2023) |
Neosatanisma | Nusuthuzoyoyo | 19u17u3uzyy-2 | 4200/4199 | [3 1 2 1 0 -1 -1 -1⟩ | 0.41225 | Xenllium (2023) |
Neovish comma, neovishma | Nonolurugugu | 19oo1urgg2 | 5776/5775 | [4 -1 -2 -1 -1 0 0 2⟩ | 0.29975 | Xenllium (2023) |
Neogrendel comma, neogrendelisma | Nosuluzoyo | 19o17u1uzy1 | 5985/5984 | [-5 2 1 1 -1 0 -1 1⟩ | 0.28929 | Xenllium (2023) |
BMO schismina | Sabinothu | s19oo3uu2 | 369664/369603 | [10 -7 0 0 0 -2 0 2⟩ | 0.28570 | |
Neonewt comma, neonewtisma | Nothotriru-ayoyo | 19o3or3yy-2 | 6175/6174 | [-1 -2 2 -3 0 1 0 1⟩ | 0.28038 | Xenllium (2023) |
Frouggie comma | Nusuquinthu-aquadlo | 19u17u3u51o4-3 | 119939072 / 119927639 | [13 0 0 0 4 -5 -1 -1⟩ | 0.16503 | |
Lakisma | Saquadnoso-agu | s19o417o4g5 | 10884540241 / 10883911680 |
[-12 -12 -1 0 0 0 4 4⟩ | 0.09998 | +merlan #flirora (2021) |
Pollar comma | Nunusuquintho-alulu | 19uu17u3o51uu1 | 742586/742577 | [1 0 0 0 -2 5 -1 -2⟩ | 0.020982 | |
Decimillisma, 19-limit decimill | Sanosorurutrigu | s19o17orrg32 | 165376/165375 | [9 -3 -3 -2 0 0 1 1⟩ | 0.010469 | Flora Canou (2021), for decimillisma |
Devicisma | Nunusothutrilo-azogu | 19uu17o3u1o3zg1 | 633556/633555 | [2 -3 -1 1 3 -1 1 -2⟩ | 0.0027326 | Xenllium (2023) |
23-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Laodicisma | Twethuthotholu | 23u3oo1u1 | 507/506 | 2.3.11.13.23 [-1 1 -1 2 -1⟩ | 3.4180 | Xenllium (2023) |
Preziosisma | Bitwetho-alu | 23oo1u2 | 529/528 | 2.3.11.23 [-4 -1 -1 2⟩ | 3.2758 | Xenllium (2023) |
Worcester comma | Twethugugu | 23ugg1 | 576/575 | 2.3.5.23 [6 2 -2 -1⟩ | 3.0082 | Kaiveran (2023) |
Harvardisma | Twethorurugu | 23orrg1 | 736/735 | 2.3.5.7.23 [5 -1 -1 -2 1⟩ | 2.3538 | Xenllium (2023) |
Squadronisma | Twethunoluyo | 23u19o1uy1 | 760/759 | [3 -1 1 0 -1 0 0 1 -1⟩ | 2.2794 | Xenllium (2023) |
Nymphisma | Twethunuzotriyo | 23u19uzy3-2 | 875/874 | 2.5.7.19.23 [-1 3 1 -1 -1⟩ | 1.9797 | Xenllium (2023) |
Lysistratisma | Twethothoru | 23o3or1 | 897/896 | 2.3.7.13.23 [-7 1 -1 1 1⟩ | 1.9311 | Xenllium (2023) |
Fragarisma | Twethusothoyo | 23u17o3oy1 | 1105/1104 | [-4 -1 1 0 0 1 1 0 -1⟩ | 1.5674 | Xenllium (2023) |
Rhodesisma | Twethunothuzo | 23u19o3uz1 | 1197/1196 | [-2 2 0 1 0 -1 0 1 -1⟩ | 1.4469 | Xenllium (2023) |
Triaphonisma, santisma | Twethothuluzo | 23o3u1uz2 | 1288/1287 | [3 -2 0 1 -1 -1 0 0 1⟩ | 1.3446 | Xenllium (2023) for santisma |
Turkisma | Twethusothulogu | 23u17o3u1og1 | 1496/1495 | [3 0 -1 0 1 -1 1 0 -1⟩ | 1.1576 | Xenllium (2023) |
Antinousisma | Twethonururu | 23o19urr-2 | 1863/1862 | 2.3.7.19.23 [-1 4 -2 -1 1⟩ | 0.92952 | Xenllium (2023) |
Kaifsma | Twethunosutholuzozogu | 23u19o17u3o1uzzg2 | 193648/193545 | [4 -2 -1 2 -1 1 -1 1 -1⟩ | 0.92108 | Kaiveran (2022) |
Artifisma, insincere comma | Twethosusuloru | 23o17uu1or-2 | 2024/2023 | 2.7.11.17.23 [3 -1 1 -2 1⟩ | 0.85556 | Xenllium (2023) for insincere comma |
Cupcake comma, cupcakesma | Latwethuluyoyo | L23u1uyy-2 | 2025/2024 | 2.3.5.11.23 [-3 4 2 -1 -1⟩ | 0.85514 | See the page. |
Guangdongisma | Twethonothuruyo | 23o19o3ury1 | 2185/2184 | [-3 -1 1 -1 0 -1 0 1 1⟩ | 0.79251 | Xenllium (2023) |
Travellisma | Twethonubiluyo | 23o19u1uuyy1 | 2300/2299 | 2.5.11.19.23 [2 2 -2 -1 1⟩ | 0.75287 | Xenllium (2023) |
Biyativice comma | Bitwethuzo-agu | 23uuzzg1 | 2646/2645 | 2.3.5.7.23 [1 3 -1 2 -2⟩ | 0.65441 | Xenllium (2023) |
Kotkisma | Twethonusozo | 23o19u17oz2 | 2737/2736 | [-4 -2 0 1 0 0 1 -1 1⟩ | 0.63265 | Xenllium (2023) |
Vicious comma, viciousma | Twethunusoruyo | 23u19u17ory-2 | 3060/3059 | [2 2 1 -1 0 0 1 -1 -1⟩ | 0.56586 | Xenllium (2023) |
Mikkolisma, Seminaiadvice comma |
Twethothuthuzozogu | 23o3uuzzg2 | 3381/3380 | [-2 1 -1 2 0 -2 0 0 1⟩ | 0.51212 | See the page. |
Vicedim comma | Twethusuloyo | 23u17u1oy-2 | 3520/3519 | [6 -2 1 0 1 0 -1 0 -1⟩ | 0.49190 | Xenllium (2023) |
Vicetride comma | Twethuthuthu | 23u3uu-2 | 3888/3887 | 2.3.13.23 [4 5 -2 -1⟩ | 0.44533 | Xenllium (2023) |
Viceaug comma | Twethunonosutho | 23u19oo17u3o1 | 4693/4692 | [-2 -1 0 0 0 1 -1 2 -1⟩ | 0.36894 | Xenllium (2023) |
Demiquartervice comma | Bitwetho-asurugu | 23oo17urg1 | 4761/4760 | [-3 2 -1 -1 0 0 -1 0 2⟩ | 0.36367 | Xenllium (2023) |
Broadviewsma | Twethosotholuluru | 23o17o3o1uur2 | 5083/5082 | [-1 -1 0 -1 -2 1 1 0 1⟩ | 0.34063 | Xenllium (2023) |
Vicetertisma | Tritwethu-athotho | 23u33oo-2 | 12168/12167 | 2.3.13.23 [3 2 2 -3⟩ | 0.14228 | Xenllium (2023) |
Joshuavoisma | Twethusutholozoyoyo | 23u17u3o1ozyy-2 | 25025/25024 | 2.5.7.11.13.17.23 [-6 2 1 1 1 -1 -1⟩ | 0.06918 | Francium (2024) |
Higher-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Lily comma | 89uu31o1 | 7936/7921 | 2.31.89 [8 1 -2⟩ | 3.2753 | Budjarn Lambeth (2023) | |
Minor chthonovinema | Twenonolugugu | 29o19o1ugg2 | 551/550 | 2.5.11.19.29 [-1 -2 -1 1 1⟩ | 3.1448 | Xenllium (2024) |
552/551 | Twenutwethonu | 29u23o19u1 | 552/551 | 2.3.19.23.29 [3 1 -1 1 -1⟩ | 3.1391 | |
Vineyard comma | Twenonuzo | 29o19uz1 | 609/608 | 2.3.7.19.29 [-5 1 1 -1 1⟩ | 2.8451 | Xenllium (2024) |
Owowhatsthisma | Thiwutwethogu | 31u23og2 | 621/620 | 2.3.5.23.31 [-2 3 -1 1 -1⟩ | 2.7901 | HEHEHE I AM A SUPAHSTAR SAGA (2021) |
Minimyna | Thisunulo | 37u19u1o-2 | 704/703 | 2.11.19.37 [6 1 -1 -1⟩ | 2.4609 | Kaiveran (2023) |
Molar comma | 89o31ug31 | 704969/704000 | 2.5.11.89 [-9 -3 -1 3⟩ | 2.3813 | Budjarn Lambeth (2023) | |
Ancient Chinese tempering comma[clarification needed] | 107ury3-2 | 750/749 | 2.3.5.7.107 [1 1 3 -1 -1⟩ | 2.3099 | ||
Biminorisma, spoogalactic comma | Twenuzozo | 29uzz2 | 784/783 | 2.3.7.29 [4 -3 2 -1⟩ | 2.2096 | Scott Dakota for biminorisma |
Arabellisma | Bitweno-arugu | 29oorg1 | 841/840 | 2.3.5.7.29 [-3 -1 -1 -1 2⟩ | 2.0598 | Xenllium (2023) |
Trricesimoprimal quarter-tones comma | Bithiwo-agu | 961/960 | 2.3.5.31 [-6 -1 -1 2⟩ | 1.8024 | Godtone (2024) | |
Kibisma | Thiwulu | 31u1u2 | 1024/1023 | 2.3.11.31 [10 -1 -1 -1⟩ | 1.6915 | Xenllium (2023) |
Kilobytisma | Fowoyoyo | 41oyy-2 | 1025/1024 | 2.5.41 [-10 2 1⟩ | 1.6898 | CompactStar (2024) |
Shaftesburisma | Bifowutweno | 41uu29oo2 | 1682/1681 | 2.29.41 [1 2 -2⟩ | 1.0296 | Budjarn Lambeth (2023) |
Misericorde | Thisuthulozoyoyo | 37u3u1ozyy-2 | 1925/1924 | 2.5.7.11.13.37 [-2 2 1 1 -1 -1⟩ | 0.89958 | Kaiveran (2023) |
Magnetisma | Tritrila-quinquadtrifo thutweno | L943u6029o60-8 | 2.3.29.43 [-61 60 60 -60⟩ | 0.86936 | Eliora (2022) | |
Platonisma | 2520/2519 | 2.3.5.7.11.229 [3 2 1 1 -1 -1⟩ | 0.68713 | Eliora (2022) | ||
Helevenisma | Bitwenosu-alo | 29oo17uu1o-2 | 9251/9248 | 2.11.17.29 [-5 1 -2 2⟩ | 0.56151 | Zhea Erose (2023) |
Bronxisma | Twenununusolozo | 29u19uu17o1oz1 | 10472/10469 | 2.7.11.17.19.29 [3 0 0 1 1 0 1 -2 0 -1⟩ | 0.49603 | Francium (2024) |
Yunzee comma | Lathiwuzozo | L31uzz2 | 3969/3968 | 2.3.7.31 [-7 4 2 -1⟩ | 0.43624 | Kaiveran (2021) |
Large grapevine | Twenothothobirugu | 29o3oorrgg1 | 4901/4900 | 2.5.7.13.29 [-2 -2 -2 2 1⟩ | 0.35328 | Xenllium (2023) |
Third brown pair comma, 19th highly compositema | 71oorg1 | 5041/5040 | 2.3.5.7.71 [-4 -2 -1 -1 2⟩ | 0.34347 | Eliora (2022) | |
Bullionisma | Thisuthuluzozo | 37u3u1uzz1 | 5292/5291 | 2.3.7.11.13.37 [2 3 2 -1 -1 -1⟩ | 0.32717 | Eliora (2023) |
Small grapevine | Latwenuloyoyo | L29u1oyy-2 | 7425/7424 | 2.3.5.11.29 [-8 3 2 1 -1⟩ | 0.23318 | Xenllium (2023) |
Pulsar comma | 101o1oz2 | 7777/7776 | 2.3.7.11.101 [-5 -5 1 1 1⟩ | 0.22262 | Eliora (2022) | |
Friesachisma | Thisotwethothulogu | 37o23o3u1og2 | 9361/9360 | 2.3.5.11.13.23.37 [-4 -2 -1 1 -1 1 1⟩ | 0.18495 | Francium (2024) |
Etampesisma | Fowutwethunotholuzo | 41u23u19o3o1uz2 | 10374/10373 | 2.3.7.11.13.19.23.41 [1 1 1 -1 1 1 -1 -1⟩ | 0.16689 | Francium (2024) |
Girardisma | Fothunoloyoyo | 43u19o1oyy1 | 10450/10449 | 2.3.5.11.19.43 [1 -5 2 1 1 -1⟩ | 0.16567 | Francium (2024) |
Berylisma | Quadthisolu | 37o41u44 | 1874161 / 1874048 | 2.11.37 [-7 -4 4⟩ | 0.10439 | Jerdle (2023) |
Totziensisma | Thiwotwetholurutrigu | 31o23o1urg31 | 19251/19250 | 2.3.5.7.11.23.31 [-1 3 -3 -1 -1 0 0 0 1 0 1⟩ | 0.089932 | Francium (2024) |
Honeybrookisma | Thiwobitwenu-atwethutho | 31o29uu23u3o-2 | 19344/19343 | 2.3.13.23.29.31 [4 1 1 -1 -2 1⟩ | 0.089500 | Francium (2024) |
Dimigenes comma | 43oy7-2 | 3359375 / 3359232 | 2.3.5.43 [-9 -8 7 1⟩ | 0.073696 | Akselai (2024) | |
Diarithmedia | 25921 / 25920 | 2.3.5.7.23 [6 -4 -1 2 2⟩ | 0.066790 | Flora Canou (2023), modified by Lériendil (2024) | ||
Palimilli | 1003001o23o1u1 | 23069023 / 23068672 | 2.11.23.1003001 [-21 -1 1 1⟩ | 0.026341 | Kaiveran (2021) | |
Sulbasutrisma | 332929/332928 | 2.3.17.577 [-7 -2 -2 2⟩ | 0.0052000 | Cole (2024) | ||
Mebisma | Safowuthiwulugugu | s41u31u1ugg3 | 1048576/1048575 | 2.3.5.11.31.41 [20 -1 -2 -1 -1 -1⟩ | 0.0016510 | Xenllium (2023) |
Zudilisma | L4397u23ur-5 | 68 630 377 364 883 / 68 630 356 164 608 | 2.3.7.23.397 [-30 29 -1 -1 -1⟩ | 0.00053479 | Budjarn Lambeth (2023) | |
Odyssey comma | Bitwenotwetho-athulurutrigu | 29oo23oo3u1urg32 | 4004001/4004000 | 2.3.5.7.11.13.23.29 [-5 2 -3 -1 -1 -1 0 0 2 2⟩ | 0.00043238 | Tristan Bay (2024) |
Borcherdsma | 160 561 400 000 / 160 561 399 999 | 2.5.7.11.13.19.29.31.47.59.71 [6 5 -1 -2 -1 1 1 1 1 -3 -1⟩ | 1.0783 × 10-8 | Akselai (2024) |