Small comma: Difference between revisions

→7-limit commas: update, simplify links & fix formatting
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→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 (interval region)|kleismas]], and intervals in the larger part of this category are [[comma (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>.  
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
| [[User:Perry.k|Perry.k]] (2026)
| {{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)
|-
|-
| [[Mirkwai comma]]
| [[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
| [[Gene Ward Smith]] (2005)
|  
|-
|-
| [[Canousma]]
| [[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]] (2020)
| [[Flora Canou]] (2026)
|-
|-
| [[Triwellisma]]
| [[Triwellisma]]
Line 1,079: Line 1,087:
|  
|  
|-
|-
| [[10976/10935|Hemimage comma]]
| [[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
| [[User:Unque|Unque]] (2024)
| {{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)
|-
| [[Reiwa comma]]
| Saquadru-asepyoma
| s4ra7yM
| 1280000000 / 1275989841
| {{monzo| 14 -12 7 -4 }}
| 5.4324
| [[Flora Canou]] (2022)
|-
|-
| [[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
| [[User:CompactStar|CompactStar]] (2023)
| [[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
| [[User:ArrowHead294|ArrowHead294]] (2024)
| [[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
| [[User:Jerdle|Jerdle]] (2021)
| {{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
| [[User:Xenllium|Xenllium]] (2025)
| [[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
| [[User:Jerdle|Jerdle]] (2023)
| {{U|Jerdle}} (2023)
|-
|-
| [[2835/2816|35/11 kleisma]]
| [[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
| [[User:ArrowHead294|ArrowHead294]]
| [[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
| [[User:Xenllium|Xenllium]] (2021)
| [[Xenllium]] (2021)
|-
|-
| [[Semicanousma]]
| [[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]] (2020)
| [[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
| [[User:Godtone|Godtone]] (2021)
| [[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
| [[User:Jerdle|Jerdle]] (2021)
| {{U|Jerdle}} (2021)
|-
|-
| [[441/440|Werckisma]]
| [[441/440|Werckisma]]
Line 1,537: Line 1,539:
|  
|  
|-
|-
| [[1375/1372|Moctdel comma]]
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Xenllium|Xenllium]] (2022)
| [[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
| [[User:Unque|Unque]] (2025)
| {{U|Unque}} (2025)
|-
|-
| [[832/825|Tholuguguma]]
| [[832/825|Tholuguguma]]
Line 1,738: Line 1,748:
| 12.064
| 12.064
|  
|  
<!--
|-
|-
| [[24167/24000|Tritho-alotriguma]]
| [[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
| [[User:Xenllium|Xenllium]] (2022)
| [[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
| [[User:Kaiveran|Kaiveran]] (2019)
| {{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
| [[User:Recentlymaterialized|Recentlymaterialized]] (2024)
| {{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)
|-
|-
| [[30E comma|2D9 comma]]
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Flirora|Flirora]] (2023)
| {{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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[Xenllium]] (2024)
|-
|-
| [[Jackpot comma]]
| [[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
| [[Eliora]] (2024)
|  
|-
|-
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[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
| [[User:Xenllium|Xenllium]] (2024)
| [[Xenllium]] (2024)
|}
|}