Small comma: Difference between revisions
→7-limit commas: update, simplify links & fix formatting |
Tristanbay (talk | contribs) →5-limit commas: added ratio for alchemisma |
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A '''small comma''' is a [[comma]] whose size is approximately between 3.5 and 30 cents. These intervals are in the range from just noticeable up to usable as melodic steps. The actual perception of course varies. In [[Sagittal notation]], intervals in the smaller part of this category are [[kleisma | A '''small comma''' is a [[comma]] whose size is approximately between 3.5 and 30 cents. These intervals are in the range from just noticeable up to usable as melodic steps. The actual perception of course varies. In [[Sagittal notation]], intervals in the smaller part of this category are [[kleisma #As an interval region|kleismas]], and intervals in the larger part of this category are [[comma #As an interval region|commas]]<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 in size, see [[Large comma]]; for commas in between 30 and 100 cents in size, see [[Medium comma]]; and for commas under 3.5 cents in size, see [[Unnoticeable 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 under 3.5 cents in size, see [[Unnoticeable comma]]. | ||
| Line 524: | Line 524: | ||
| 6.1536 | | 6.1536 | ||
| [[Gene Ward Smith]] (2001) | | [[Gene Ward Smith]] (2001) | ||
|- | |||
|[[Alchemisma]] | |||
|Quinla-quadtritriyo | |||
|5L36yM | |||
| <abbr title="14551915228366851806640625/14507109835375550096474112">(52 digits)</abbr> | |||
|{{Monzo|-82 -1 36}} | |||
|5.3387 | |||
|[[Tristan Bay]] (2026) | |||
|- | |- | ||
| [[Parakleisma]] | | [[Parakleisma]] | ||
| Line 877: | Line 885: | ||
| {{Monzo| -137 -34 0 68 }} | | {{Monzo| -137 -34 0 68 }} | ||
| 13.692 | | 13.692 | ||
| | | {{U|Perry.k}} (2026) | ||
|- | |- | ||
| [[4000/3969|Octagar comma]] | | [[4000/3969|Octagar comma]] | ||
| Line 1,047: | Line 1,055: | ||
| [[User:Angekallikoita|Ange]] (2025) | | [[User:Angekallikoita|Ange]] (2025) | ||
|- | |- | ||
| [[ | | [[Canopic comma]] | ||
| Quinru-aquadyoma | | Quinru-aquadyoma | ||
| 5ra4yM | | 5ra4yM | ||
| Line 1,053: | Line 1,061: | ||
| {{Monzo| 0 3 4 -5 }} | | {{Monzo| 0 3 4 -5 }} | ||
| 6.9903 | | 6.9903 | ||
| | | | ||
|- | |- | ||
| [[ | | [[Cathartic comma]] | ||
| Saquadzo-atriyoma | | Saquadzo-atriyoma | ||
| s4za3yM | | s4za3yM | ||
| Line 1,061: | Line 1,069: | ||
| {{Monzo| 4 -14 3 4 }} | | {{Monzo| 4 -14 3 4 }} | ||
| 6.8748 | | 6.8748 | ||
| [[Flora Canou]] ( | | [[Flora Canou]] (2026) | ||
|- | |- | ||
| [[Triwellisma]] | | [[Triwellisma]] | ||
| Line 1,079: | Line 1,087: | ||
| | | | ||
|- | |- | ||
| [[ | | [[Hemimage comma]] | ||
| Satrizo-aguma | | Satrizo-aguma | ||
| s3zagM | | s3zagM | ||
| Line 1,117: | Line 1,125: | ||
| {{Monzo| 14 -23 0 8 }} | | {{Monzo| 14 -23 0 8 }} | ||
| 5.6422 | | 5.6422 | ||
| | | {{U|Unque}} (2024) | ||
|- | |- | ||
| [[Linus comma]] | | [[Linus comma]] | ||
| Line 1,126: | Line 1,134: | ||
| 5.5719 | | 5.5719 | ||
| [[Gene Ward Smith]] (2011) | | [[Gene Ward Smith]] (2011) | ||
|- | |- | ||
| [[6144/6125|Porwell comma]] | | [[6144/6125|Porwell comma]] | ||
| Line 1,247: | Line 1,247: | ||
| {{Monzo| 14 -11 0 0 1 }} | | {{Monzo| 14 -11 0 0 1 }} | ||
| 29.812 | | 29.812 | ||
| [[ | | [[CompactStar]] (2023) | ||
|- | |- | ||
| [[Thuja comma]] | | [[Thuja comma]] | ||
| Line 1,271: | Line 1,271: | ||
| {{Monzo| 1 3 2 0 -3 }} | | {{Monzo| 1 3 2 0 -3 }} | ||
| 24.539 | | 24.539 | ||
| [[ | | [[ArrowHead294]] (2024) | ||
|- | |- | ||
| [[Sensmus comma]] | | [[Sensmus comma]] | ||
| Line 1,311: | Line 1,311: | ||
| {{Monzo| -6 1 -2 2 1 }} | | {{Monzo| -6 1 -2 2 1 }} | ||
| 18.297 | | 18.297 | ||
| | | {{U|Jerdle}} (2021) | ||
|- | |- | ||
| [[99/98|Mothwellsma]] | | [[99/98|Mothwellsma]] | ||
| Line 1,327: | Line 1,327: | ||
| {{Monzo| 1 -13 1 0 5 }} | | {{Monzo| 1 -13 1 0 5 }} | ||
| 17.488 | | 17.488 | ||
| [[ | | [[Xenllium]] (2025) | ||
|- | |- | ||
| [[100/99|Ptolemisma]] | | [[100/99|Ptolemisma]] | ||
| Line 1,367: | Line 1,367: | ||
| {{Monzo| 9 -1 1 -1 -2 }} | | {{Monzo| 9 -1 1 -1 -2 }} | ||
| 12.897 | | 12.897 | ||
| | | {{U|Jerdle}} (2023) | ||
|- | |- | ||
| [[ | | [[Fwiwsma]] | ||
| Laluzoyoma | | Laluzoyoma | ||
| L1uzyM | | L1uzyM | ||
| Line 1,375: | Line 1,375: | ||
| {{Monzo| -8 4 1 1 -1 }} | | {{Monzo| -8 4 1 1 -1 }} | ||
| 11.642 | | 11.642 | ||
| | | [[Douglas Blumeyer]] (2024) | ||
|- | |- | ||
| [[Aphrowe comma]] | | [[Aphrowe comma]] | ||
| Line 1,391: | Line 1,391: | ||
| {{Monzo| 3 -7 2 0 1 }} | | {{Monzo| 3 -7 2 0 1 }} | ||
| 10.260 | | 10.260 | ||
| [[ | | [[ArrowHead294]] | ||
|- | |- | ||
| [[Valinorsma]] | | [[Valinorsma]] | ||
| Line 1,432: | Line 1,432: | ||
| 8.0555 | | 8.0555 | ||
| | | | ||
<!-- | |||
|- | |- | ||
| [[117649/117128]] | | [[117649/117128]] | ||
| Line 1,440: | Line 1,441: | ||
| 7.6837 | | 7.6837 | ||
| | | | ||
--> | |||
|- | |- | ||
| [[Topsy comma]] | | [[Topsy comma]] | ||
| Line 1,455: | Line 1,457: | ||
| {{Monzo| -2 -2 4 1 -2 }} | | {{Monzo| -2 -2 4 1 -2 }} | ||
| 7.5349 | | 7.5349 | ||
| [[ | | [[Xenllium]] (2021) | ||
|- | |- | ||
| [[ | | [[Semicathartisma]] | ||
| Quadlo-aguma | | Quadlo-aguma | ||
| 4(1o)gM | | 4(1o)gM | ||
| Line 1,463: | Line 1,465: | ||
| {{Monzo| -2 -6 -1 0 4 }} | | {{Monzo| -2 -6 -1 0 4 }} | ||
| 7.2281 | | 7.2281 | ||
| [[Flora Canou]] ( | | [[Flora Canou]] (2026) | ||
|- | |- | ||
| [[243/242|Rastma]] | | [[243/242|Rastma]] | ||
| Line 1,513: | Line 1,515: | ||
| [[Paul Erlich]] (2001) | | [[Paul Erlich]] (2001) | ||
|- | |- | ||
| [[Trimitone comma]] | | [[8019/8000|Trimitone comma]] | ||
| Lalotriguma | | Lalotriguma | ||
| L1o3gM | | L1o3gM | ||
| Line 1,519: | Line 1,521: | ||
| {{Monzo| -6 6 -3 0 1 }} | | {{Monzo| -6 6 -3 0 1 }} | ||
| 4.1068 | | 4.1068 | ||
| [[ | | [[Godtone]] (2021) | ||
|- | |- | ||
| [[4-cent comma]] | | [[4-cent comma]] | ||
| Line 1,527: | Line 1,529: | ||
| {{Monzo| 0 -11 9 0 -1 }} | | {{Monzo| 0 -11 9 0 -1 }} | ||
| 4.0004 | | 4.0004 | ||
| | | {{U|Jerdle}} (2021) | ||
|- | |- | ||
| [[441/440|Werckisma]] | | [[441/440|Werckisma]] | ||
| Line 1,537: | Line 1,539: | ||
| | | | ||
|- | |- | ||
| [[1375/1372| | | [[1375/1372|Moctdelisma]] | ||
| Lotriruyo | | Lotriruyo | ||
| 1o3ryM | | 1o3ryM | ||
| Line 1,551: | Line 1,553: | ||
| {{Monzo| 0 -2 1 4 -3 }} | | {{Monzo| 0 -2 1 4 -3 }} | ||
| 3.7535 | | 3.7535 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[6250/6237|Liganellus comma]], liganellisma | | [[6250/6237|Liganellus comma]], liganellisma | ||
| Line 1,594: | Line 1,596: | ||
| 26.841 | | 26.841 | ||
| | | | ||
|- | |||
| [[9625/9477|Toastedosma]] | |||
| | |||
| | |||
| 9625/9477 | |||
| {{Monzo| 0 -6 3 1 1 -1 }} | |||
| 26.827 | |||
| See the page. | |||
|- | |- | ||
| [[Hyperpyth comma]] | | [[Hyperpyth comma]] | ||
| Line 1,633: | Line 1,643: | ||
| {{Monzo| -2 1 -3 0 0 2 }} | | {{Monzo| -2 1 -3 0 0 2 }} | ||
| 24.069 | | 24.069 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[78/77|Negustma]] | | [[78/77|Negustma]] | ||
| Line 1,673: | Line 1,683: | ||
| {{Monzo| -13 0 0 2 0 2 }} | | {{Monzo| -13 0 0 2 0 2 }} | ||
| 18.707 | | 18.707 | ||
| [[ | | [[Xenllium]] (2022) | ||
|- | |- | ||
| [[512/507|Tridecimal neutral thirds comma]] | | [[512/507|Tridecimal neutral thirds comma]] | ||
| Line 1,697: | Line 1,707: | ||
| {{Monzo| 2 1 0 4 0 -4 }} | | {{Monzo| 2 1 0 4 0 -4 }} | ||
| 15.148 | | 15.148 | ||
| | | {{U|Unque}} (2025) | ||
|- | |- | ||
| [[832/825|Tholuguguma]] | | [[832/825|Tholuguguma]] | ||
| Line 1,738: | Line 1,748: | ||
| 12.064 | | 12.064 | ||
| | | | ||
<!-- | |||
|- | |- | ||
| [[24167/24000 | | [[24167/24000]] | ||
| Tritho-alotriguma | | Tritho-alotriguma | ||
| 3(3o)1o3gM | | 3(3o)1o3gM | ||
| 24167/24000 | | 24167/24000 | ||
| {{Monzo| -6 -1 -3 0 1 3}} | | {{Monzo| -6 -1 -3 0 1 3 }} | ||
| 12.005 | | 12.005 | ||
| | | | ||
--> | |||
|- | |- | ||
| [[Lesser tendoneutralisma]] | | [[Lesser tendoneutralisma]] | ||
| Line 1,785: | Line 1,797: | ||
| {{Monzo| 1 2 -2 0 -2 2 }} | | {{Monzo| 1 2 -2 0 -2 2 }} | ||
| 9.7020 | | 9.7020 | ||
| [[ | | [[Xenllium]] (2022) | ||
|- | |- | ||
| Greater nelindic comma | | Greater nelindic comma | ||
| Line 1,793: | Line 1,805: | ||
| {{Monzo| 2 0 2 -5 0 2 }} | | {{Monzo| 2 0 2 -5 0 2 }} | ||
| 9.5532 | | 9.5532 | ||
| | | {{U|Kaiveran}} (2019) | ||
|- | |- | ||
| [[1287/1280|Catadictma]] | | [[1287/1280|Catadictma]] | ||
| Line 1,825: | Line 1,837: | ||
| {{Monzo| 0 -1 3 -2 -1 1 }} | | {{Monzo| 0 -1 3 -2 -1 1 }} | ||
| 8.5440 | | 8.5440 | ||
| | | {{U|Recentlymaterialized}} (2024) | ||
|- | |- | ||
| [[640/637|Huntma]], lesser nelindic comma | | [[640/637|Huntma]], lesser nelindic comma | ||
| Line 1,835: | Line 1,847: | ||
| [[User:Kaiveran|Kaiveran]] (2019) for ''lesser nelindic comma'' | | [[User:Kaiveran|Kaiveran]] (2019) for ''lesser nelindic comma'' | ||
|- | |- | ||
|Sonoma | | Sonoma | ||
|Lala-tritritho-aquadyoma | | Lala-tritritho-aquadyoma | ||
|LL9(3o)4yM | | LL9(3o)4yM | ||
|6627812108125/ | | 6627812108125/6597069766656 | ||
6597069766656 | | {{Monzo| -41 -1 4 0 0 9 }} | ||
|{{Monzo|-41 -1 4 0 0 9}} | | 8.0488 | ||
|8.0488 | | [https://x.com/vib_gen/status/2038852033244246443 Vib, Misohito Nakai] (2026) | ||
|[https://x.com/vib_gen/status/2038852033244246443 Vib, Misohito Nakai] (2026) | |||
|- | |- | ||
| [[2197/2187|Threedie]] | | [[2197/2187|Threedie]] | ||
| Line 1,876: | Line 1,887: | ||
| [[Gene Ward Smith]] (2011) | | [[Gene Ward Smith]] (2011) | ||
|- | |- | ||
| [[ | | [[2D9 comma]] | ||
| Thotriyoma | | Thotriyoma | ||
| 3o3yM | | 3o3yM | ||
| Line 1,947: | Line 1,958: | ||
| 4.7627 | | 4.7627 | ||
| See the page. | | See the page. | ||
|- | |||
| [[Cheensma]] | |||
| | |||
| | |||
| 41067/40960 | |||
| {{Monzo| -13 5 -1 0 0 2 }} | |||
| 4.5166 | |||
| [[Tristan Bay]] (2025) | |||
|- | |- | ||
| [[847/845|Cuthbert comma]] | | [[847/845|Cuthbert comma]] | ||
| Line 2,295: | Line 2,314: | ||
| 8.0113 | | 8.0113 | ||
| [[User:Xenllium|Xenllium]] (2023) | | [[User:Xenllium|Xenllium]] (2023) | ||
|- | |||
|[[33698267/33554432|Sylvisma]] | |||
| Latrinoso | |||
| L19o317o33 | |||
| 33698267/33554432 | |||
| {{Monzo| -25 0 0 0 0 0 3 3 }} | |||
| 7.4053 | |||
| [[User:Zeta Function|Zeta Function]] (2026) | |||
|- | |- | ||
| [[286/285|Chthonisma]] | | [[286/285|Chthonisma]] | ||
| Line 2,579: | Line 2,606: | ||
| 2.5.23.29 {{monzo| 2 -1 -1 1 }} | | 2.5.23.29 {{monzo| 2 -1 -1 1 }} | ||
| 14.989 | | 14.989 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[117/116|Lomisma]] | | [[117/116|Lomisma]] | ||
| Line 2,587: | Line 2,614: | ||
| 2.3.13.29 {{monzo| -2 2 1 -1 }} | | 2.3.13.29 {{monzo| -2 2 1 -1 }} | ||
| 14.860 | | 14.860 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[145/144|29th-partial chroma]] | | [[145/144|29th-partial chroma]] | ||
| Line 2,595: | Line 2,622: | ||
| 2.3.5.29 {{monzo| -4 -2 1 1 }} | | 2.3.5.29 {{monzo| -4 -2 1 1 }} | ||
| 11.981 | | 11.981 | ||
| | | {{U|Flirora}} (2023) | ||
|- | |- | ||
| [[175/174|Major chthonovinema]] | | [[175/174|Major chthonovinema]] | ||
| Line 2,603: | Line 2,630: | ||
| 2.3.5.7.29 {{monzo| -1 -1 2 1 -1 }} | | 2.3.5.7.29 {{monzo| -1 -1 2 1 -1 }} | ||
| 9.9211 | | 9.9211 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[204/203|Kallistisma]] | | [[204/203|Kallistisma]] | ||
| Line 2,611: | Line 2,638: | ||
| 2.3.7.17.29 {{monzo| 2 1 -1 1 -1 }} | | 2.3.7.17.29 {{monzo| 2 1 -1 1 -1 }} | ||
| 8.5073 | | 8.5073 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[232/231|Major paravinema]] | | [[232/231|Major paravinema]] | ||
| Line 2,619: | Line 2,646: | ||
| 2.3.7.11.29 {{monzo| 3 -1 -1 -1 1 }} | | 2.3.7.11.29 {{monzo| 3 -1 -1 -1 1 }} | ||
| 7.4783 | | 7.4783 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[ | | [[7-29-comma]] | ||
| Laseptwenoma | | Laseptwenoma | ||
| L7(29o)M | | L7(29o)M | ||
| Line 2,627: | Line 2,654: | ||
| 2.29 {{monzo| -34 7 }} | | 2.29 {{monzo| -34 7 }} | ||
| 7.0404 | | 7.0404 | ||
| | | | ||
|- | |- | ||
| [[261/260|Major vinetonema]] | | [[261/260|Major vinetonema]] | ||
| Line 2,635: | Line 2,662: | ||
| 2.3.5.13.29 {{monzo| -2 2 -1 -1 1 }} | | 2.3.5.13.29 {{monzo| -2 2 -1 -1 1 }} | ||
| 6.6458 | | 6.6458 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[290/289|Brunisma]] | | [[290/289|Brunisma]] | ||
| Line 2,643: | Line 2,670: | ||
| 2.5.17.29 {{monzo| 1 1 -2 1 }} | | 2.5.17.29 {{monzo| 1 1 -2 1 }} | ||
| 5.9801 | | 5.9801 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[320/319|Minor paravinema]] | | [[320/319|Minor paravinema]] | ||
| Line 2,651: | Line 2,678: | ||
| 2.5.11.29 {{monzo| 6 1 -1 -1 }} | | 2.5.11.29 {{monzo| 6 1 -1 -1 }} | ||
| 5.4186 | | 5.4186 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[378/377|Major semivinema]] | | [[378/377|Major semivinema]] | ||
| Line 2,659: | Line 2,686: | ||
| 2.3.7.13.29 {{monzo| 1 3 1 -1 -1 }} | | 2.3.7.13.29 {{monzo| 1 3 1 -1 -1 }} | ||
| 4.5861 | | 4.5861 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[406/405|Minor semivinema]] | | [[406/405|Minor semivinema]] | ||
| Line 2,667: | Line 2,694: | ||
| 2.3.5.7.29 {{monzo| 1 -4 -1 1 1 }} | | 2.3.5.7.29 {{monzo| 1 -4 -1 1 1 }} | ||
| 4.2694 | | 4.2694 | ||
| [[ | | [[Xenllium]] (2024) | ||
|- | |- | ||
| [[494/493|Minor vinetonema]] | | [[494/493|Minor vinetonema]] | ||
| Line 2,675: | Line 2,702: | ||
| 2.13.17.19.29 {{monzo| 1 1 -1 1 -1 }} | | 2.13.17.19.29 {{monzo| 1 1 -1 1 -1 }} | ||
| 3.5081 | | 3.5081 | ||
| [[ | | [[Xenllium]] (2024) | ||
|} | |} | ||