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A ''' | A '''large comma''' is a [[comma]] whose size is approximately 100 cents and larger. As intervals, these commas are steps or even skips. | ||
For commas under 100 cents, see [[Medium comma]] for commas in between 30 and 100 cents or [[Small comma]] for commas under 30 cents. For commas under 3.5 cents, see [[Unnoticeable comma]]. | For commas under 100 cents, see [[Medium comma]] for commas in between 30 and 100 cents or [[Small comma]] for commas under 30 cents. For commas under 3.5 cents, see [[Unnoticeable comma]]. | ||
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. | 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]]. | ||
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. | |||
== Disputed status == | |||
To varying degrees, the status of each of the commas on this page as "a comma" is disputed. Due to their large size in [[cents]], many of these commas lead to high-[[damage]] temperaments when tempered out. Which calls into question whether they can actually be used as commas. | |||
Those which have a highly complex monzo and ratio tend to distribute their error more thinly across a wide number of [[JI]] intervals, making them more 'comma-like' than the others on this page. Some still dispute this due to their perhaps limited ability to make [[comma pump]]s. However they are more widely accepted than the ones on this page with simpler monzos and ratios. | |||
== List of commas, by prime limit == | == 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" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
! Cents | ! Cents | ||
! Named by | |||
|- | |- | ||
| | | [[26-comma]] | ||
| | | 26wM, Thebiwama | ||
| | | 26wM | ||
| [[9/8|9 / 8 | | 2541865828329 / 2199023255552 | ||
| {{ | | {{Monzo| -41 26 }} | ||
| 250.83 | |||
| | |||
|- | |||
| 27-comma | |||
| 27wama | |||
| 27wM | |||
| 8796093022208 / 7625597484987 | |||
| {{Monzo| 43 -27 }} | |||
| 247.21 | |||
| | |||
|- | |||
| [[9/8|Pythagorean whole tone]] | |||
| Wabima | |||
| w2M | |||
| 9 / 8 | |||
| {{Monzo| -3 2 }} | |||
| 203.91 | | 203.91 | ||
| | |||
|- | |- | ||
| 43-comma | | 43-comma | ||
| | | 43wama | ||
| | | 43wM | ||
| | |||
| {{Monzo| -68 43 }} | |||
| 184.07 | |||
| | | | ||
|- | |- | ||
| 63-comma | | 63-comma | ||
| | | 63wama | ||
| | | 63wM | ||
| | |||
| {{Monzo| 100 -63 }} | |||
| 176.83 | |||
| | | | ||
|- | |- | ||
| [[ | | [[31-comma]] | ||
| | | 31wama, Thiwewama | ||
| | | 31wM | ||
| 617673396283947 / <br>562949953421312 | | 617673396283947 / <br>562949953421312 | ||
| {{ | | {{Monzo| -49 31 }} | ||
| 160. | | 160.61 | ||
| | |||
|- | |- | ||
| 22-comma | | 22-comma | ||
| | | 22wama, Lebiwama | ||
| | | 22wM | ||
| 34359738368 / <br>31381059609 | | 34359738368 / <br>31381059609 | ||
| {{ | | {{Monzo| 35 -22 }} | ||
| 156.99 | | 156.99 | ||
| | |||
|- | |- | ||
| 19-comma | | [[19-comma]], Pythagorean kleisma, graywood comma | ||
| | | 19wama, Newama | ||
| | | 19wM | ||
| 1162261467 / 1073741824 | | 1162261467 / 1073741824 | ||
| {{ | | {{Monzo| -30 19 }} | ||
| 137. | | 137.15 | ||
| {{U|CompactStar}} (2024) for ''graywood comma'' | |||
|- | |- | ||
| | | [[2187/2048|Pythagorean apotome]], whitewood comma | ||
| | | Lawama | ||
| | | LwM | ||
| 2187 / 2048 | |||
| {{ | | {{Monzo| -11 7 }} | ||
| 113. | | 113.69 | ||
| [[Mike Battaglia]] (2010) for ''whitewood comma'' | |||
|- | |- | ||
| 46-comma | | 46-comma | ||
| | | 46wama | ||
| | | 46wM | ||
| | | | ||
| {{ | | {{Monzo| 73 -46 }} | ||
| 110.07 | | 110.07 | ||
| | |||
|} | |} | ||
=== | === 5-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
! Cents | ! Cents | ||
! Named by | |||
|- | |- | ||
| Shallowtone comma | | [[Shallowtone comma]] | ||
| | | Lalayobi | ||
| | | LLy1 | ||
| 295245 / 262144 | |||
| {{ | | {{Monzo| -18 10 1 }} | ||
| 205. | | 205.86 | ||
| {{U|CompactStar}} (2024) | |||
|- | |- | ||
| Delorean | | Delorean comma | ||
| Tribigu | | Tribigu | ||
| | | 6g3 | ||
| 17496 / 15625 | | 17496 / 15625 | ||
| {{ | | {{Monzo| 3 7 -6 }} | ||
| 195. | | 195.80 | ||
| | | | ||
|- | |- | ||
| 31-3/5-comma | | 31-3/5-comma | ||
| Thiwegu | | Thiwegu | ||
| | | 31g7 | ||
| | |||
| {{Monzo| 23 31 -31 }} | |||
| 184.88 | |||
| | | | ||
|- | |- | ||
| | | [[10/9|Antonian comma]] | ||
| Yo | | Yo | ||
| y2 | | y2 | ||
| | | 10 / 9 | ||
| {{ | | {{Monzo| 1 -2 1 }} | ||
| 182. | | 182.40 | ||
| [[Xenllium]] (2026) | |||
|- | |- | ||
| 5-cycle major second, hexadecathird comma | | 5-cycle major second, hexadecathird comma | ||
| Lala-quadquadyo | | Lala-quadquadyo | ||
| | | LL16y-4 | ||
| 152587890625 / <br>137438953472 | | 152587890625 / <br>137438953472 | ||
| {{ | | {{Monzo| -37 0 16 }} | ||
| 181. | | 181.02 | ||
| | |||
|- | |||
| [[Nadir comma]] | |||
| Lalatrigu | |||
| LL3g1 | |||
| 1162261467 / 1048576000 | |||
| {{Monzo| -23 19 -3 }} | |||
| 178.20 | |||
| {{U|CompactStar}} (2024) | |||
|- | |- | ||
<!-- until it gets a name | |||
| | | | ||
| Legu | |||
| 11g4 | |||
| 53747712 / 48828125 | |||
| {{Monzo| 13 8 -11 }} | |||
| 166.19 | |||
| | | | ||
| | |- | ||
--> | |||
| Enipucrop comma | |||
| Enipucrop | |||
| Latriyobi | | Latriyobi | ||
| | | L3y1 | ||
| 1125 / 1024 | | 1125 / 1024 | ||
| {{ | | {{Monzo| -10 2 3 }} | ||
| 162. | | 162.85 | ||
| | |||
|- | |- | ||
| Supersharp | | [[800/729|Supersharp comma]] | ||
| Sayoyo | | Sayoyo | ||
| syy2 | | syy2 | ||
| | | 800 / 729 | ||
| {{ | | {{Monzo| 5 -6 2 }} | ||
| 160. | | 160.90 | ||
| | |||
|- | |- | ||
| Nether comma | | [[Nether comma]] | ||
| Lala-gugu | | Lala-gugu | ||
| | | LLgg1 | ||
| 14348907 / 13107200 | |||
| {{ | | {{Monzo| -19 15 -2 }} | ||
| 156. | | 156.70 | ||
| {{U|Akselai}} (2024) | |||
|- | |- | ||
| [[Rarity comma]] | | [[Rarity comma]] | ||
| Quadla-theyo | |||
| 4L13y-5 | |||
| | | | ||
| {{Monzo| -57 17 13 }} | |||
| 155.31 | |||
| {{ | | [[Eliora]] (2023) | ||
| 155. | |||
|- | |- | ||
| | | Laconic comma | ||
| Latrigubi | | Latrigubi | ||
| | | L3g2 | ||
| 2187 / 2000 | | 2187 / 2000 | ||
| {{ | | {{Monzo| -4 7 -3 }} | ||
| 154. | | 154.74 | ||
| | |||
|- | |- | ||
| Smate, symbolic | | [[2048/1875|Smate, symbolic comma]] | ||
| Saquadgu | | Saquadgu | ||
| | | s4g3 | ||
| 2048 / 1875 | |||
| {{ | | {{Monzo| 11 -1 -4 }} | ||
| 152. | | 152.79 | ||
| | |||
|- | |||
| [[Submerged comma]] | |||
| | |||
| | |||
| 146484375/134217728 | |||
| {{Monzo| -27 1 11 }} | |||
| 151.41 | |||
| [[Fitzgerald Lee]] (2025) | |||
|- | |- | ||
| Acute limma | | Acute limma | ||
| Trila-neyobi | | Trila-neyobi | ||
| | | 3L19y-5 | ||
| 19073486328125 / <br>17592186044416 | | 19073486328125 / <br>17592186044416 | ||
| {{ | | {{Monzo| -44 0 19 }} | ||
| 139. | | 139.96 | ||
| | |||
|- | |- | ||
| 31-15-comma | | 31-15-comma | ||
| Tritrila-thiweyo | | Tritrila-thiweyo | ||
| | | 9L31y-11 | ||
| | | | ||
| {{ | | {{Monzo| -121 31 31 }} | ||
| 136.33 | | 136.33 | ||
| | |||
|- | |- | ||
| Deeptone comma, Tragicomma | | [[177147/163840|Deeptone comma]], Tragicomma | ||
| | | Lagu | ||
| | | Lg1 | ||
| | | 177147 / 163840 | ||
| {{ | | {{Monzo| -15 11 -1 }} | ||
| 135. | | 135.19 | ||
| {{U|CompactStar}} (2023) for ''deeptone comma''; <br>[[groundfault]] (2023) for ''tragicomma'' | |||
|- | |- | ||
| | | [[27/25|Bug comma]] | ||
| Gugu | | Gugu | ||
| gg2 | | gg2 | ||
| | | 27 / 25 | ||
| {{ | | {{Monzo| 0 3 -2 }} | ||
| 133. | | 133.24 | ||
| | |||
|- | |- | ||
| 11-3/5-comma | | 11-3/5-comma | ||
| Leyo | | Leyo | ||
| | | 11y-2 | ||
| 48828125 / 45349632 | | 48828125 / 45349632 | ||
| {{ | | {{Monzo| -8 -11 11 }} | ||
| 127. | | 127.95 | ||
| | |||
|- | |||
| [[Audacity comma]] | |||
| | |||
| | |||
| | |||
| {{Monzo| 22 -27 9 }} | |||
| 124.04 | |||
| [[Tristan Bay]] (2026) | |||
|- | |- | ||
| 27-3/5-comma | | 27-3/5-comma | ||
| Tritritrigu | | Tritritrigu | ||
| | | 27g6 | ||
| | |||
| {{Monzo| 20 27 -27 }} | |||
| 122.31 | |||
| | | | ||
|- | |- | ||
| Lemba | | Lemba comma | ||
| Latribiyo | | Latribiyo | ||
| | | L6y-2 | ||
| 140625 / 131072 | | 140625 / 131072 | ||
| {{ | | {{Monzo| -17 2 6 }} | ||
| 121. | | 121.79 | ||
| | |||
|- | |- | ||
| 87-15-comma | | 87-15-comma | ||
| Line 225: | Line 298: | ||
| | | | ||
| | | | ||
| {{ | | {{Monzo| 340 -87 -87 }} | ||
| 120. | | 120.62 | ||
| | |||
|- | |- | ||
| Sixix comma | | [[3125/2916|Sixix comma]] | ||
| Quinyo | | Quinyo | ||
| | | 5y1 | ||
| 3125 / 2916 | |||
| {{ | | {{Monzo| -2 -6 5 }} | ||
| 119. | | 119.84 | ||
| | |||
|- | |- | ||
| Diesma | | Diesma | ||
| Lathegu | | Lathegu | ||
| | | L13g3 | ||
| 10460353203 / <br>9765625000 | | 10460353203 / <br>9765625000 | ||
| {{ | | {{Monzo| -3 21 -13 }} | ||
| 118. | | 118.98 | ||
| | |||
|- | |- | ||
| Comic comma | | Comic comma | ||
| Saquadyobi | | Saquadyobi | ||
| | | s4y2 | ||
| 5120000 / 4782969 | | 5120000 / 4782969 | ||
| {{ | | {{Monzo| 13 -14 4 }} | ||
| 117. | | 117.88 | ||
| | |||
|- | |- | ||
| | | [[16/15|Father comma]] | ||
| Gubi | | Gubi | ||
| g2 | | g2 | ||
| | | 16 / 15 | ||
| {{ | | {{Monzo| 4 -1 -1 }} | ||
| 111. | | 111.73 | ||
| | |||
|- | |- | ||
| Beatles | | Beatles comma | ||
| Sasa-gugu | | Sasa-gugu | ||
| ssgg3 | | ssgg3 | ||
| 524288 / 492075 | | 524288 / 492075 | ||
| {{ | | {{Monzo| 19 -9 -2 }} | ||
| 109. | | 109.78 | ||
| | |||
|- | |- | ||
| 300-3/5-comma | | 300-3/5-comma | ||
| Line 267: | Line 346: | ||
| | | | ||
| | | | ||
| {{ | | {{Monzo| -221 -300 300 }} | ||
| 107. | | 107.61 | ||
| | |||
|- | |- | ||
| Wronecki | | Wronecki comma | ||
| Latribigu | | Latribigu | ||
| | | L6g2 | ||
| 531441 / 500000 | | 531441 / 500000 | ||
| {{ | | {{Monzo| -5 12 -6 }} | ||
| 105. | | 105.58 | ||
| | |||
|- | |||
| [[82944/78125|Migmag comma]] | |||
| Sepgu 3rd | |||
| g^7 3 | |||
| 82944 / 78125 | |||
| {{Monzo| 10 4 -7 }} | |||
| 103.62 | |||
| {{U|Contribution}} (2026) | |||
|- | |- | ||
| Wesley | | [[Wesley comma]] | ||
| Lasepyobi | | Lasepyobi | ||
| | | L7y-2 | ||
| 78125 / 73728 | |||
| {{ | | {{Monzo| -13 -2 7 }} | ||
| 100. | | 100.29 | ||
| | |||
|} | |} | ||
| Line 289: | Line 379: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
! Cents | ! Cents | ||
|- | |- | ||
| Hexatone comma, 6-7-comma | | Hexatone comma, 6-7-comma | ||
| Satribiru | | Satribiru | ||
| | | s6r-2 | ||
| 131072 / 117649 | | 131072 / 117649 | ||
| {{ | | {{Monzo| 17 0 0 -6 }} | ||
| 187. | | 187.04 | ||
|- | |- | ||
| 45-7/5-comma | | 45-7/5-comma | ||
| Quintritriruyo | | Quintritriruyo | ||
| | | 45ry-27 | ||
| | | | ||
| {{ | | {{Monzo| 22 0 45 -45 }} | ||
| 186. | | 186.95 | ||
|- | |- | ||
| 63-35-comma | | 63-35-comma | ||
| Tritribila-septritrizoyo | | Tritribila-septritrizoyo | ||
| | | 18L63zy8 | ||
| | | | ||
| {{ | | {{Monzo| -323 0 63 63 }} | ||
| 173. | | 173.80 | ||
|- | |- | ||
| 8-21-comma | | 8-21-comma | ||
| Lala-quadbizo | | Lala-quadbizo | ||
| | | LL8z4 | ||
| 37822859361 / <br>34359738368 | | 37822859361 / <br>34359738368 | ||
| {{ | | {{Monzo| -35 8 0 8 }} | ||
| 166. | | 166.25 | ||
|- | |- | ||
| 46-7-comma | | 46-7-comma | ||
| Sepla-twethebizobi | | Sepla-twethebizobi | ||
| | | 7L46z18 | ||
| | | | ||
| {{ | | {{Monzo| -129 0 0 46 }} | ||
| 165. | | 165.99 | ||
|- | |- | ||
| 25-7/5-comma | | 25-7/5-comma | ||
| Quinquinzogu | | Quinquinzogu | ||
| | | 25zg17 | ||
| | | | ||
| {{ | | {{Monzo| -12 0 -25 25 }} | ||
| 162. | | 162.80 | ||
|- | |- | ||
| 43-21-comma | | 43-21-comma | ||
| Quadtrisa-fotherubi | | Quadtrisa-fotherubi | ||
| | | 12s43r-11 | ||
| | | | ||
| {{ | | {{Monzo| 189 -43 0 -43 }} | ||
| 156. | | 156.42 | ||
|- | |- | ||
| Septimal neutral second, 35th harmonic | | [[35/32|Septimal neutral second]], octave-reduced 35th harmonic | ||
| Zoyo | | Zoyo | ||
| zy2 | | zy2 | ||
| | | 35 / 32 | ||
| {{monzo| -5 0 1 1 }} | | {{monzo| -5 0 1 1 }} | ||
| 155. | | 155.14 | ||
|- | |- | ||
| 43-7/5-comma | | 43-7/5-comma | ||
| Fotheruyo | | Fotheruyo | ||
| | | 43ry-26 | ||
| | | | ||
| {{ | | {{Monzo| 21 0 43 -43 }} | ||
| 151. | | 151.98 | ||
|- | |- | ||
| Swetismic neutral second | | [[49/45|Swetismic neutral second]] | ||
| Zozogu | | Zozogu | ||
| zzg3 | | zzg3 | ||
| | | 49 / 45 | ||
| {{ | | {{Monzo| 0 -2 -1 2 }} | ||
| 147. | | 147.43 | ||
|- | |- | ||
<!-- until it gets a name | |||
| [[160/147]] | |||
| Ruruyobi | |||
| [[160/147|160 / 147 | | rry1 | ||
| {{ | | 160 / 147 | ||
| 146. | | {{Monzo| 5 -1 1 -2 }} | ||
| 146.71 | |||
--> | |||
|- | |- | ||
| Hendecatone comma, 11-7-comma | | Hendecatone comma, 11-7-comma | ||
| Sasa-leru | | Sasa-leru | ||
| | | ss11r-4 | ||
| 2147483648 / 1977326743 | | 2147483648 / 1977326743 | ||
| {{ | | {{Monzo| 31 0 0 -11 }} | ||
| 142. | | 142.92 | ||
|- | |- | ||
| Septimal subtone | | [[243/224|Septimal subtone]] | ||
| | | Larubi | ||
| | | Lr1 | ||
| 243 / 224 | |||
| {{ | | {{Monzo| -5 5 0 -1 }} | ||
| 140. | | 140.95 | ||
|- | |- | ||
| 55-35-comma | | 55-35-comma | ||
| Quadquadla-lequinzoyobi | | Quadquadla-lequinzoyobi | ||
| | | 16L55zy7 | ||
| | | | ||
| {{ | | {{Monzo| -282 0 55 55 }} | ||
| 132. | | 132.68 | ||
|- | |- | ||
| 27-7/5-comma | | 27-7/5-comma | ||
| Tritritrizogu | | Tritritrizogu | ||
| | | 27zg18 | ||
| | | | ||
| {{ | | {{Monzo| -13 0 -27 27 }} | ||
| 127. | | 127.83 | ||
|- | |- | ||
| 41-7-comma | | 41-7-comma | ||
| Tribila-fowezo | | Tribila-fowezo | ||
| | | 6L41z16 | ||
| | | | ||
| {{ | | {{Monzo| -115 0 0 41 }} | ||
| 121. | | 121.86 | ||
|- | |- | ||
| 13-21-comma | | 13-21-comma | ||
| Quadla-thezobi | | Quadla-thezobi | ||
| | | 4L13z5 | ||
| | | | ||
| {{ | | {{Monzo| -57 13 0 13 }} | ||
| 120. | | 120.15 | ||
|- | |- | ||
| | | [[15/14|Septimal major semitone]] | ||
| Ruyo | | Ruyo | ||
| ry1 | | ry1 | ||
| | | 15 / 14 | ||
| {{ | | {{Monzo| -1 1 1 -1 }} | ||
| 119. | | 119.44 | ||
|- | |- | ||
| [[Primate comma]] | | [[Primate comma]] | ||
| Line 431: | Line 516: | ||
| sr2 | | sr2 | ||
| 16384 / 15309 | | 16384 / 15309 | ||
| {{ | | {{Monzo| 14 -7 0 -1 }} | ||
| 117. | | 117.49 | ||
|- | |- | ||
| 41-7/5-comma | | 41-7/5-comma | ||
| Foweruyo | | Foweruyo | ||
| | | 41ry-25 | ||
| | | | ||
| {{ | | {{Monzo| 20 0 41 -41 }} | ||
| 117 | | 117.00 | ||
|- | |- | ||
| 7-35-comma | | 7-35-comma | ||
| Sasa-seprugu | | Sasa-seprugu | ||
| | | ss7rg1 | ||
| 68719476736 / <br>64339296875 | | 68719476736 / <br>64339296875 | ||
| {{ | | {{Monzo| 36 0 -7 -7 }} | ||
| 114. | | 114.02 | ||
|- | |- | ||
| 38-21-comma | | 38-21-comma | ||
| Lesa-nebiru | | Lesa-nebiru | ||
| | | 11s38r-10 | ||
| | | | ||
| {{ | | {{Monzo| 167 -38 0 -38 }} | ||
| 110. | | 110.33 | ||
|- | |- | ||
| | | 3-9/7-comma | ||
| | | Triru | ||
| | | 3r-2 | ||
| 729 / 686 | |||
| {{ | | {{Monzo| -1 6 0 -3 }} | ||
| 105. | | 105.25 | ||
|} | |} | ||
| Line 467: | Line 552: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 474: | Line 559: | ||
| 11-cycle major second prote, 33-11-comma | | 11-cycle major second prote, 33-11-comma | ||
| Quinla-letrilobi | | Quinla-letrilobi | ||
| | | 5L33(1o)-7 | ||
| | | | ||
| {{ | | {{Monzo| -114 0 0 0 33 }} | ||
| 193. | | 193.49 | ||
|- | |- | ||
| 4/5-tone, Ptolemy's second | | 4/5-tone, Ptolemy's second | ||
| Line 483: | Line 568: | ||
| 1og2 | | 1og2 | ||
| [[11/10|11 / 10]] | | [[11/10|11 / 10]] | ||
| {{ | | {{Monzo| -1 0 -1 0 1 }} | ||
| 165. | | 165.00 | ||
|- | |- | ||
| 11-enipucrop, 9-11-comma | | 11-enipucrop, 9-11-comma | ||
| Latritrilo | | Latritrilo | ||
| | | L9(1o)-2 | ||
| 2357947691 / 2147483648 | | 2357947691 / 2147483648 | ||
| {{ | | {{Monzo| -31 0 0 0 9 }} | ||
| 161. | | 161.86 | ||
|- | |- | ||
| 3/4-tone, undecimal neutral second | | 3/4-tone, undecimal neutral second | ||
| Line 497: | Line 582: | ||
| 1u2 | | 1u2 | ||
| [[12/11|12 / 11]] | | [[12/11|12 / 11]] | ||
| {{ | | {{Monzo| 2 1 0 0 -1 }} | ||
| 150. | | 150.64 | ||
|- | |- | ||
| [[ | | [[77/72|Undecimal secor]] | ||
| Lozo | | Lozo | ||
| 1oz2 | | 1oz2 | ||
| [[77/72|77 / 72]] | | [[77/72|77 / 72]] | ||
| {{ | | {{Monzo| -3 -2 0 1 1 }} | ||
| 116. | | 116.23 | ||
|} | |} | ||
| Line 512: | Line 597: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 519: | Line 604: | ||
| 13-cycle neutral second | | 13-cycle neutral second | ||
| Quadbila-fithethobi | | Quadbila-fithethobi | ||
| | | 8L53(3o)7 | ||
| | | | ||
| {{ | | {{Monzo| -196 0 0 0 0 53 }} | ||
| 147. | | 147.97 | ||
|- | |- | ||
| Large tridecimal 2/3-tone, tridecimal neutral second | | Large tridecimal 2/3-tone, tridecimal neutral second | ||
| Line 528: | Line 613: | ||
| 3o2 | | 3o2 | ||
| [[13/12|13 / 12]] | | [[13/12|13 / 12]] | ||
| {{ | | {{Monzo| -2 -1 0 0 0 1 }} | ||
| 138. | | 138.57 | ||
|- | |- | ||
| Small tridecimal 2/3-tone, tridecimal limma, trienthird | | Small tridecimal 2/3-tone, tridecimal limma, trienthird | ||
| Line 535: | Line 620: | ||
| 3uz2 | | 3uz2 | ||
| [[14/13|14 / 13]] | | [[14/13|14 / 13]] | ||
| {{ | | {{Monzo| 1 0 0 1 0 -1 }} | ||
| 128. | | 128.30 | ||
|- | |- | ||
| Heptasixth comma, 13-cycle secor | | Heptasixth comma, 13-cycle secor | ||
| Sasepthu | | Sasepthu | ||
| | | s7(3u)1 | ||
| 67108864 / 62748517 | | 67108864 / 62748517 | ||
| {{monzo| 26 0 0 0 0 -7 }} | | {{monzo| 26 0 0 0 0 -7 }} | ||
| 116. | | 116.31 | ||
|- | |- | ||
| Heptadecasixth comma, neutral thirteenth comma | | Heptadecasixth comma, neutral thirteenth comma | ||
| Sasa-sethubi | | Sasa-sethubi | ||
| | | ss17(3u)-2 | ||
| | | | ||
| {{ | | {{Monzo| 63 0 0 0 0 -17 }} | ||
| 111. | | 111.03 | ||
|} | |} | ||
| Line 557: | Line 642: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 566: | Line 651: | ||
| 17og3 | | 17og3 | ||
| [[17/15|17 / 15]] | | [[17/15|17 / 15]] | ||
| {{ | | {{Monzo| 0 -1 -1 0 0 0 1 }} | ||
| 216. | | 216.69 | ||
|- | |- | ||
| 17th harmonic | | Large septendecimal semitone, octave-reduced 17th harmonic | ||
| Iso | | Iso | ||
| 17o2 | | 17o2 | ||
| [[17/16|17 / 16]] | | [[17/16|17 / 16]] | ||
| {{ | | {{Monzo| -4 0 0 0 0 0 1 }} | ||
| 104. | | 104.96 | ||
|} | |} | ||
| Line 581: | Line 666: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 588: | Line 673: | ||
| 19-cycle meantone prima | | 19-cycle meantone prima | ||
| Tribila-foweno | | Tribila-foweno | ||
| | | 6L41(19o)13 | ||
| | | | ||
| {{ | | {{Monzo| -174 0 0 0 0 0 0 41 }} | ||
| 198. | | 198.03 | ||
|- | |- | ||
| Undevicesimal rational meantone | | Undevicesimal rational meantone | ||
| Line 597: | Line 682: | ||
| 19o17u2 | | 19o17u2 | ||
| [[19/17|19 / 17]] | | [[19/17|19 / 17]] | ||
| {{ | | {{Monzo| 0 0 0 0 0 0 -1 1 }} | ||
| 192. | | 192.56 | ||
|- | |- | ||
| 19-cycle meantone secunda | | 19-cycle meantone secunda | ||
| Tribila-quintritrino | | Tribila-quintritrino | ||
| | | 6L45(19o)14 | ||
| | | | ||
| {{ | | {{Monzo| -191 0 0 0 0 0 0 45 }} | ||
| 188. | | 188.09 | ||
|- | |- | ||
| 19-cycle minor tone | | 19-cycle minor tone | ||
| Sepla-sepsepno | | Sepla-sepsepno | ||
| | | 7L49(19o)15 | ||
| | | | ||
| {{ | | {{Monzo| -208 0 0 0 0 0 0 49 }} | ||
| 178. | | 178.14 | ||
|- | |- | ||
| Undevicesimal rational submajor second | | Undevicesimal rational submajor second | ||
| Line 618: | Line 703: | ||
| 19uz2 | | 19uz2 | ||
| [[21/19|21 / 19]] | | [[21/19|21 / 19]] | ||
| {{ | | {{Monzo| 0 1 0 1 0 0 0 -1 }} | ||
| 173. | | 173.27 | ||
|- | |- | ||
| 19-cycle submajor second | | 19-cycle submajor second | ||
| Quadbila-fithenobi | | Quadbila-fithenobi | ||
| | | 8L53(19o)16 | ||
| | | | ||
| {{ | | {{Monzo| -225 0 0 0 0 0 0 53 }} | ||
| 168. | | 168.19 | ||
|- | |- | ||
| Dog comma | | [[81/76|Dog comma]] | ||
| Inu | | Inu | ||
| 19u1 | | 19u1 | ||
| | | 81 / 76 | ||
| {{ | | {{Monzo| -2 4 0 0 0 0 0 -1 }} | ||
| 110. | | 110.31 | ||
|} | |} | ||
| Line 640: | Line 725: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 649: | Line 734: | ||
| 23or2 | | 23or2 | ||
| [[23/21|23 / 21]] | | [[23/21|23 / 21]] | ||
| | | {{Monzo| 0 -1 0 -1 0 0 0 0 1 }} | ||
| 157. | | 157.49 | ||
|- | |- | ||
| Small vicesimotertial neutral second | | Small vicesimotertial neutral second | ||
| Line 656: | Line 741: | ||
| 23uyy1 | | 23uyy1 | ||
| [[25/23|25 / 23]] | | [[25/23|25 / 23]] | ||
| | | {{Monzo| 0 0 2 0 0 0 0 0 -1 }} | ||
| 144. | | 144.35 | ||
|- | |- | ||
| 69th harmonic | | Octave-reduced 69th harmonic | ||
| Twetho | | Twetho | ||
| 23o2 | | 23o2 | ||
| [[69/64|69 / 64]] | | [[69/64|69 / 64]] | ||
| | | {{monzo| -6 1 0 0 0 0 0 0 1 }} | ||
| 130. | | 130.23 | ||
|} | |} | ||
| Line 671: | Line 756: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
! Cents | ! Cents | ||
|- | |- | ||
|- | | Octave-reduced 29th subharmonic | ||
| Twenu | | Twenu | ||
| 29u2 | | 29u2 | ||
| [[32/29|32 / 29]] | | [[32/29|32 / 29]] | ||
| 2.29 {{monzo| 5 -1 }} | | 2.29 {{monzo| 5 -1 }} | ||
| 170. | | 170.42 | ||
|- | |||
<!-- until it gets a name | |||
| [[47/44]] | |||
| Fosolu | |||
| 47o1u2 | |||
| 47 / 44 | |||
| 2.11.47 {{monzo| -2 -1 1 }} | |||
| 114.19 | |||
--> | |||
|} | |} | ||
Latest revision as of 09:34, 22 October 2026
A large comma is a comma whose size is approximately 100 cents and larger. As intervals, these commas are steps or even skips.
For commas under 100 cents, see Medium comma for commas in between 30 and 100 cents or Small comma for commas under 30 cents. For commas under 3.5 cents, see Unnoticeable comma.
Except for the 3-limit commas, the color name refers to both the comma and the temperament created when it is tempered out.
The commas might be numerous, but there is no need to memorise all the names. For pretty much all use cases, it is perfectly acceptable – preferred, even – to just refer to a comma by the monzo or ratio, whichever is simpler.
Disputed status
To varying degrees, the status of each of the commas on this page as "a comma" is disputed. Due to their large size in cents, many of these commas lead to high-damage temperaments when tempered out. Which calls into question whether they can actually be used as commas.
Those which have a highly complex monzo and ratio tend to distribute their error more thinly across a wide number of JI intervals, making them more 'comma-like' than the others on this page. Some still dispute this due to their perhaps limited ability to make comma pumps. However they are more widely accepted than the ones on this page with simpler monzos and ratios.
List of commas, by prime limit
3-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | Named by | |
|---|---|---|---|---|---|---|
| 26-comma | 26wM, Thebiwama | 26wM | 2541865828329 / 2199023255552 | [-41 26⟩ | 250.83 | |
| 27-comma | 27wama | 27wM | 8796093022208 / 7625597484987 | [43 -27⟩ | 247.21 | |
| Pythagorean whole tone | Wabima | w2M | 9 / 8 | [-3 2⟩ | 203.91 | |
| 43-comma | 43wama | 43wM | [-68 43⟩ | 184.07 | ||
| 63-comma | 63wama | 63wM | [100 -63⟩ | 176.83 | ||
| 31-comma | 31wama, Thiwewama | 31wM | 617673396283947 / 562949953421312 |
[-49 31⟩ | 160.61 | |
| 22-comma | 22wama, Lebiwama | 22wM | 34359738368 / 31381059609 |
[35 -22⟩ | 156.99 | |
| 19-comma, Pythagorean kleisma, graywood comma | 19wama, Newama | 19wM | 1162261467 / 1073741824 | [-30 19⟩ | 137.15 | CompactStar (2024) for graywood comma |
| Pythagorean apotome, whitewood comma | Lawama | LwM | 2187 / 2048 | [-11 7⟩ | 113.69 | Mike Battaglia (2010) for whitewood comma |
| 46-comma | 46wama | 46wM | [73 -46⟩ | 110.07 | ||
5-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | Named by | |
|---|---|---|---|---|---|---|
| Shallowtone comma | Lalayobi | LLy1 | 295245 / 262144 | [-18 10 1⟩ | 205.86 | CompactStar (2024) |
| Delorean comma | Tribigu | 6g3 | 17496 / 15625 | [3 7 -6⟩ | 195.80 | |
| 31-3/5-comma | Thiwegu | 31g7 | [23 31 -31⟩ | 184.88 | ||
| Antonian comma | Yo | y2 | 10 / 9 | [1 -2 1⟩ | 182.40 | Xenllium (2026) |
| 5-cycle major second, hexadecathird comma | Lala-quadquadyo | LL16y-4 | 152587890625 / 137438953472 |
[-37 0 16⟩ | 181.02 | |
| Nadir comma | Lalatrigu | LL3g1 | 1162261467 / 1048576000 | [-23 19 -3⟩ | 178.20 | CompactStar (2024) |
| Enipucrop comma | Latriyobi | L3y1 | 1125 / 1024 | [-10 2 3⟩ | 162.85 | |
| Supersharp comma | Sayoyo | syy2 | 800 / 729 | [5 -6 2⟩ | 160.90 | |
| Nether comma | Lala-gugu | LLgg1 | 14348907 / 13107200 | [-19 15 -2⟩ | 156.70 | Akselai (2024) |
| Rarity comma | Quadla-theyo | 4L13y-5 | [-57 17 13⟩ | 155.31 | Eliora (2023) | |
| Laconic comma | Latrigubi | L3g2 | 2187 / 2000 | [-4 7 -3⟩ | 154.74 | |
| Smate, symbolic comma | Saquadgu | s4g3 | 2048 / 1875 | [11 -1 -4⟩ | 152.79 | |
| Submerged comma | 146484375/134217728 | [-27 1 11⟩ | 151.41 | Fitzgerald Lee (2025) | ||
| Acute limma | Trila-neyobi | 3L19y-5 | 19073486328125 / 17592186044416 |
[-44 0 19⟩ | 139.96 | |
| 31-15-comma | Tritrila-thiweyo | 9L31y-11 | [-121 31 31⟩ | 136.33 | ||
| Deeptone comma, Tragicomma | Lagu | Lg1 | 177147 / 163840 | [-15 11 -1⟩ | 135.19 | CompactStar (2023) for deeptone comma; groundfault (2023) for tragicomma |
| Bug comma | Gugu | gg2 | 27 / 25 | [0 3 -2⟩ | 133.24 | |
| 11-3/5-comma | Leyo | 11y-2 | 48828125 / 45349632 | [-8 -11 11⟩ | 127.95 | |
| Audacity comma | [22 -27 9⟩ | 124.04 | Tristan Bay (2026) | |||
| 27-3/5-comma | Tritritrigu | 27g6 | [20 27 -27⟩ | 122.31 | ||
| Lemba comma | Latribiyo | L6y-2 | 140625 / 131072 | [-17 2 6⟩ | 121.79 | |
| 87-15-comma | [340 -87 -87⟩ | 120.62 | ||||
| Sixix comma | Quinyo | 5y1 | 3125 / 2916 | [-2 -6 5⟩ | 119.84 | |
| Diesma | Lathegu | L13g3 | 10460353203 / 9765625000 |
[-3 21 -13⟩ | 118.98 | |
| Comic comma | Saquadyobi | s4y2 | 5120000 / 4782969 | [13 -14 4⟩ | 117.88 | |
| Father comma | Gubi | g2 | 16 / 15 | [4 -1 -1⟩ | 111.73 | |
| Beatles comma | Sasa-gugu | ssgg3 | 524288 / 492075 | [19 -9 -2⟩ | 109.78 | |
| 300-3/5-comma | [-221 -300 300⟩ | 107.61 | ||||
| Wronecki comma | Latribigu | L6g2 | 531441 / 500000 | [-5 12 -6⟩ | 105.58 | |
| Migmag comma | Sepgu 3rd | g^7 3 | 82944 / 78125 | [10 4 -7⟩ | 103.62 | Contribution (2026) |
| Wesley comma | Lasepyobi | L7y-2 | 78125 / 73728 | [-13 -2 7⟩ | 100.29 | |
7-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| Hexatone comma, 6-7-comma | Satribiru | s6r-2 | 131072 / 117649 | [17 0 0 -6⟩ | 187.04 |
| 45-7/5-comma | Quintritriruyo | 45ry-27 | [22 0 45 -45⟩ | 186.95 | |
| 63-35-comma | Tritribila-septritrizoyo | 18L63zy8 | [-323 0 63 63⟩ | 173.80 | |
| 8-21-comma | Lala-quadbizo | LL8z4 | 37822859361 / 34359738368 |
[-35 8 0 8⟩ | 166.25 |
| 46-7-comma | Sepla-twethebizobi | 7L46z18 | [-129 0 0 46⟩ | 165.99 | |
| 25-7/5-comma | Quinquinzogu | 25zg17 | [-12 0 -25 25⟩ | 162.80 | |
| 43-21-comma | Quadtrisa-fotherubi | 12s43r-11 | [189 -43 0 -43⟩ | 156.42 | |
| Septimal neutral second, octave-reduced 35th harmonic | Zoyo | zy2 | 35 / 32 | [-5 0 1 1⟩ | 155.14 |
| 43-7/5-comma | Fotheruyo | 43ry-26 | [21 0 43 -43⟩ | 151.98 | |
| Swetismic neutral second | Zozogu | zzg3 | 49 / 45 | [0 -2 -1 2⟩ | 147.43 |
| Hendecatone comma, 11-7-comma | Sasa-leru | ss11r-4 | 2147483648 / 1977326743 | [31 0 0 -11⟩ | 142.92 |
| Septimal subtone | Larubi | Lr1 | 243 / 224 | [-5 5 0 -1⟩ | 140.95 |
| 55-35-comma | Quadquadla-lequinzoyobi | 16L55zy7 | [-282 0 55 55⟩ | 132.68 | |
| 27-7/5-comma | Tritritrizogu | 27zg18 | [-13 0 -27 27⟩ | 127.83 | |
| 41-7-comma | Tribila-fowezo | 6L41z16 | [-115 0 0 41⟩ | 121.86 | |
| 13-21-comma | Quadla-thezobi | 4L13z5 | [-57 13 0 13⟩ | 120.15 | |
| Septimal major semitone | Ruyo | ry1 | 15 / 14 | [-1 1 1 -1⟩ | 119.44 |
| Primate comma | Saru | sr2 | 16384 / 15309 | [14 -7 0 -1⟩ | 117.49 |
| 41-7/5-comma | Foweruyo | 41ry-25 | [20 0 41 -41⟩ | 117.00 | |
| 7-35-comma | Sasa-seprugu | ss7rg1 | 68719476736 / 64339296875 |
[36 0 -7 -7⟩ | 114.02 |
| 38-21-comma | Lesa-nebiru | 11s38r-10 | [167 -38 0 -38⟩ | 110.33 | |
| 3-9/7-comma | Triru | 3r-2 | 729 / 686 | [-1 6 0 -3⟩ | 105.25 |
11-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 11-cycle major second prote, 33-11-comma | Quinla-letrilobi | 5L33(1o)-7 | [-114 0 0 0 33⟩ | 193.49 | |
| 4/5-tone, Ptolemy's second | Logu | 1og2 | 11 / 10 | [-1 0 -1 0 1⟩ | 165.00 |
| 11-enipucrop, 9-11-comma | Latritrilo | L9(1o)-2 | 2357947691 / 2147483648 | [-31 0 0 0 9⟩ | 161.86 |
| 3/4-tone, undecimal neutral second | Lu | 1u2 | 12 / 11 | [2 1 0 0 -1⟩ | 150.64 |
| Undecimal secor | Lozo | 1oz2 | 77 / 72 | [-3 -2 0 1 1⟩ | 116.23 |
13-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 13-cycle neutral second | Quadbila-fithethobi | 8L53(3o)7 | [-196 0 0 0 0 53⟩ | 147.97 | |
| Large tridecimal 2/3-tone, tridecimal neutral second | Tho | 3o2 | 13 / 12 | [-2 -1 0 0 0 1⟩ | 138.57 |
| Small tridecimal 2/3-tone, tridecimal limma, trienthird | Thuzo | 3uz2 | 14 / 13 | [1 0 0 1 0 -1⟩ | 128.30 |
| Heptasixth comma, 13-cycle secor | Sasepthu | s7(3u)1 | 67108864 / 62748517 | [26 0 0 0 0 -7⟩ | 116.31 |
| Heptadecasixth comma, neutral thirteenth comma | Sasa-sethubi | ss17(3u)-2 | [63 0 0 0 0 -17⟩ | 111.03 | |
17-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 17-limit rational eventone | Sogubi | 17og3 | 17 / 15 | [0 -1 -1 0 0 0 1⟩ | 216.69 |
| Large septendecimal semitone, octave-reduced 17th harmonic | Iso | 17o2 | 17 / 16 | [-4 0 0 0 0 0 1⟩ | 104.96 |
19-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 19-cycle meantone prima | Tribila-foweno | 6L41(19o)13 | [-174 0 0 0 0 0 0 41⟩ | 198.03 | |
| Undevicesimal rational meantone | Nosu | 19o17u2 | 19 / 17 | [0 0 0 0 0 0 -1 1⟩ | 192.56 |
| 19-cycle meantone secunda | Tribila-quintritrino | 6L45(19o)14 | [-191 0 0 0 0 0 0 45⟩ | 188.09 | |
| 19-cycle minor tone | Sepla-sepsepno | 7L49(19o)15 | [-208 0 0 0 0 0 0 49⟩ | 178.14 | |
| Undevicesimal rational submajor second | Nuzo | 19uz2 | 21 / 19 | [0 1 0 1 0 0 0 -1⟩ | 173.27 |
| 19-cycle submajor second | Quadbila-fithenobi | 8L53(19o)16 | [-225 0 0 0 0 0 0 53⟩ | 168.19 | |
| Dog comma | Inu | 19u1 | 81 / 76 | [-2 4 0 0 0 0 0 -1⟩ | 110.31 |
23-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| Large vicesimotertial neutral second | Twethoru | 23or2 | 23 / 21 | [0 -1 0 -1 0 0 0 0 1⟩ | 157.49 |
| Small vicesimotertial neutral second | Twethuyoyo | 23uyy1 | 25 / 23 | [0 0 2 0 0 0 0 0 -1⟩ | 144.35 |
| Octave-reduced 69th harmonic | Twetho | 23o2 | 69 / 64 | [-6 1 0 0 0 0 0 0 1⟩ | 130.23 |
Higher-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| Octave-reduced 29th subharmonic | Twenu | 29u2 | 32 / 29 | 2.29 [5 -1⟩ | 170.42 |