Large comma: Difference between revisions
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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. | 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]] | | [[26-comma]] | ||
| | | 26wM, Thebiwama | ||
| | | 26wM | ||
| 2541865828329 / 2199023255552 | | 2541865828329 / 2199023255552 | ||
| {{ | | {{Monzo| -41 26 }} | ||
| 250.83 | | 250.83 | ||
| | |||
|- | |- | ||
| 27-comma | | 27-comma | ||
| | | 27wama | ||
| | | 27wM | ||
| 8796093022208 / 7625597484987 | | 8796093022208 / 7625597484987 | ||
| {{ | | {{Monzo| 43 -27 }} | ||
| 247.21 | | 247.21 | ||
| | |||
|- | |- | ||
| [[9/8|Pythagorean whole tone]] | | [[9/8|Pythagorean whole tone]] | ||
| | | Wabima | ||
| | | w2M | ||
| 9 / 8 | | 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| | | [[2187/2048|Pythagorean apotome]], whitewood comma | ||
| | | Lawama | ||
| | | LwM | ||
| 2187 / 2048 | | 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]] | ||
| Line 101: | Line 120: | ||
| LLy1 | | LLy1 | ||
| 295245 / 262144 | | 295245 / 262144 | ||
| {{ | | {{Monzo| -18 10 1 }} | ||
| 205. | | 205.86 | ||
| {{U|CompactStar}} (2024) | |||
|- | |- | ||
| Delorean | | Delorean comma | ||
| Tribigu | | Tribigu | ||
| 6g3 | | 6g3 | ||
| 17496 / 15625 | | 17496 / 15625 | ||
| {{ | | {{Monzo| 3 7 -6 }} | ||
| 195. | | 195.80 | ||
| | |||
|- | |- | ||
| 31-3/5-comma | | 31-3/5-comma | ||
| Line 115: | Line 136: | ||
| 31g7 | | 31g7 | ||
| | | | ||
| {{ | | {{Monzo| 23 31 -31 }} | ||
| 184.88 | | 184.88 | ||
| | |||
|- | |- | ||
| [[10/9| | | [[10/9|Antonian comma]] | ||
| Yo | | Yo | ||
| y2 | | y2 | ||
| 10 / 9 | | 10 / 9 | ||
| {{ | | {{Monzo| 1 -2 1 }} | ||
| 182. | | 182.40 | ||
| [[Xenllium]] (2026) | |||
|- | |- | ||
| 5-cycle major second, hexadecathird comma | | 5-cycle major second, hexadecathird comma | ||
| Line 129: | Line 152: | ||
| LL16y-4 | | LL16y-4 | ||
| 152587890625 / <br>137438953472 | | 152587890625 / <br>137438953472 | ||
| {{ | | {{Monzo| -37 0 16 }} | ||
| 181. | | 181.02 | ||
| | |||
|- | |- | ||
| [[Nadir comma]] | | [[Nadir comma]] | ||
| Line 136: | Line 160: | ||
| LL3g1 | | LL3g1 | ||
| 1162261467 / 1048576000 | | 1162261467 / 1048576000 | ||
| {{ | | {{Monzo| -23 19 -3 }} | ||
| 178. | | 178.20 | ||
| {{U|CompactStar}} (2024) | |||
|- | |- | ||
<!-- until it gets a name | |||
| | | | ||
| Legu | | Legu | ||
| 11g4 | | 11g4 | ||
| | | 53747712 / 48828125 | ||
| {{ | | {{Monzo| 13 8 -11 }} | ||
| 166. | | 166.19 | ||
|- | | | ||
| Enipucrop | |- | ||
--> | |||
| Enipucrop comma | |||
| Latriyobi | | Latriyobi | ||
| L3y1 | | L3y1 | ||
| 1125 / 1024 | | 1125 / 1024 | ||
| {{ | | {{Monzo| -10 2 3 }} | ||
| 162. | | 162.85 | ||
| | |||
|- | |- | ||
| [[800/729|Supersharp]] | | [[800/729|Supersharp comma]] | ||
| Sayoyo | | Sayoyo | ||
| syy2 | | syy2 | ||
| 800 / 729 | | 800 / 729 | ||
| {{ | | {{Monzo| 5 -6 2 }} | ||
| 160. | | 160.90 | ||
| | |||
|- | |- | ||
| [[Nether comma]] | | [[Nether comma]] | ||
| Line 164: | Line 194: | ||
| LLgg1 | | LLgg1 | ||
| 14348907 / 13107200 | | 14348907 / 13107200 | ||
| {{ | | {{Monzo| -19 15 -2 }} | ||
| 156. | | 156.70 | ||
| {{U|Akselai}} (2024) | |||
|- | |- | ||
| [[Rarity comma]] | | [[Rarity comma]] | ||
| Line 171: | Line 202: | ||
| 4L13y-5 | | 4L13y-5 | ||
| | | | ||
| {{ | | {{Monzo| -57 17 13 }} | ||
| 155. | | 155.31 | ||
| [[Eliora]] (2023) | |||
|- | |- | ||
| | | Laconic comma | ||
| Latrigubi | | Latrigubi | ||
| L3g2 | | L3g2 | ||
| 2187 / 2000 | | 2187 / 2000 | ||
| {{ | | {{Monzo| -4 7 -3 }} | ||
| 154. | | 154.74 | ||
| | |||
|- | |- | ||
| [[2048/1875|Smate | | [[2048/1875|Smate, symbolic comma]] | ||
| Saquadgu | | Saquadgu | ||
| s4g3 | | s4g3 | ||
| 2048 / 1875 | | 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 | ||
| Line 192: | Line 234: | ||
| 3L19y-5 | | 3L19y-5 | ||
| 19073486328125 / <br>17592186044416 | | 19073486328125 / <br>17592186044416 | ||
| {{ | | {{Monzo| -44 0 19 }} | ||
| 139. | | 139.96 | ||
| | |||
|- | |- | ||
| 31-15-comma | | 31-15-comma | ||
| Line 199: | Line 242: | ||
| 9L31y-11 | | 9L31y-11 | ||
| | | | ||
| {{ | | {{Monzo| -121 31 31 }} | ||
| 136.33 | | 136.33 | ||
| | |||
|- | |- | ||
| [[177147/163840|Deeptone comma]], Tragicomma | | [[177147/163840|Deeptone comma]], Tragicomma | ||
| Line 206: | Line 250: | ||
| Lg1 | | Lg1 | ||
| 177147 / 163840 | | 177147 / 163840 | ||
| {{ | | {{Monzo| -15 11 -1 }} | ||
| 135. | | 135.19 | ||
| {{U|CompactStar}} (2023) for ''deeptone comma''; <br>[[groundfault]] (2023) for ''tragicomma'' | |||
|- | |- | ||
| [[27/25| | | [[27/25|Bug comma]] | ||
| Gugu | | Gugu | ||
| gg2 | | gg2 | ||
| 27 / 25 | | 27 / 25 | ||
| {{ | | {{Monzo| 0 3 -2 }} | ||
| 133. | | 133.24 | ||
| | |||
|- | |- | ||
| 11-3/5-comma | | 11-3/5-comma | ||
| Line 220: | Line 266: | ||
| 11y-2 | | 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 | ||
| Line 227: | Line 282: | ||
| 27g6 | | 27g6 | ||
| | | | ||
| {{ | | {{Monzo| 20 27 -27 }} | ||
| 122. | | 122.31 | ||
| | |||
|- | |- | ||
| Lemba | | Lemba comma | ||
| Latribiyo | | Latribiyo | ||
| L6y-2 | | L6y-2 | ||
| 140625 / 131072 | | 140625 / 131072 | ||
| {{ | | {{Monzo| -17 2 6 }} | ||
| 121. | | 121.79 | ||
| | |||
|- | |- | ||
| 87-15-comma | | 87-15-comma | ||
| Line 241: | Line 298: | ||
| | | | ||
| | | | ||
| {{ | | {{Monzo| 340 -87 -87 }} | ||
| 120. | | 120.62 | ||
| | |||
|- | |- | ||
| [[3125/2916|Sixix comma]] | | [[3125/2916|Sixix comma]] | ||
| Line 248: | Line 306: | ||
| 5y1 | | 5y1 | ||
| 3125 / 2916 | | 3125 / 2916 | ||
| {{ | | {{Monzo| -2 -6 5 }} | ||
| 119. | | 119.84 | ||
| | |||
|- | |- | ||
| Diesma | | Diesma | ||
| Line 255: | Line 314: | ||
| L13g3 | | L13g3 | ||
| 10460353203 / <br>9765625000 | | 10460353203 / <br>9765625000 | ||
| {{ | | {{Monzo| -3 21 -13 }} | ||
| 118. | | 118.98 | ||
| | |||
|- | |- | ||
| Comic comma | | Comic comma | ||
| Line 262: | Line 322: | ||
| s4y2 | | s4y2 | ||
| 5120000 / 4782969 | | 5120000 / 4782969 | ||
| {{ | | {{Monzo| 13 -14 4 }} | ||
| 117. | | 117.88 | ||
| | |||
|- | |- | ||
| [[16/15| | | [[16/15|Father comma]] | ||
| Gubi | | Gubi | ||
| g2 | | g2 | ||
| 16 / 15 | | 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 283: | Line 346: | ||
| | | | ||
| | | | ||
| {{ | | {{Monzo| -221 -300 300 }} | ||
| 107. | | 107.61 | ||
| | |||
|- | |- | ||
| Wronecki | | Wronecki comma | ||
| Latribigu | | Latribigu | ||
| L6g2 | | 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 comma]] | | [[Wesley comma]] | ||
| Line 297: | Line 370: | ||
| L7y-2 | | L7y-2 | ||
| 78125 / 73728 | | 78125 / 73728 | ||
| {{ | | {{Monzo| -13 -2 7 }} | ||
| 100. | | 100.29 | ||
| | |||
|} | |} | ||
| Line 305: | 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 | ||
| Line 336: | Line 388: | ||
| s6r-2 | | s6r-2 | ||
| 131072 / 117649 | | 131072 / 117649 | ||
| {{ | | {{Monzo| 17 0 0 -6 }} | ||
| 187. | | 187.04 | ||
|- | |- | ||
| 45-7/5-comma | | 45-7/5-comma | ||
| Line 343: | Line 395: | ||
| 45ry-27 | | 45ry-27 | ||
| | | | ||
| {{ | | {{Monzo| 22 0 45 -45 }} | ||
| 186. | | 186.95 | ||
|- | |- | ||
| 63-35-comma | | 63-35-comma | ||
| Line 350: | Line 402: | ||
| 18L63zy8 | | 18L63zy8 | ||
| | | | ||
| {{ | | {{Monzo| -323 0 63 63 }} | ||
| 173. | | 173.80 | ||
|- | |- | ||
| 8-21-comma | | 8-21-comma | ||
| Line 357: | Line 409: | ||
| LL8z4 | | LL8z4 | ||
| 37822859361 / <br>34359738368 | | 37822859361 / <br>34359738368 | ||
| {{ | | {{Monzo| -35 8 0 8 }} | ||
| 166. | | 166.25 | ||
|- | |- | ||
| 46-7-comma | | 46-7-comma | ||
| Line 364: | Line 416: | ||
| 7L46z18 | | 7L46z18 | ||
| | | | ||
| {{ | | {{Monzo| -129 0 0 46 }} | ||
| 165. | | 165.99 | ||
|- | |- | ||
| 25-7/5-comma | | 25-7/5-comma | ||
| Line 371: | Line 423: | ||
| 25zg17 | | 25zg17 | ||
| | | | ||
| {{ | | {{Monzo| -12 0 -25 25 }} | ||
| 162. | | 162.80 | ||
|- | |- | ||
| 43-21-comma | | 43-21-comma | ||
| Line 378: | Line 430: | ||
| 12s43r-11 | | 12s43r-11 | ||
| | | | ||
| {{ | | {{Monzo| 189 -43 0 -43 }} | ||
| 156. | | 156.42 | ||
|- | |- | ||
| [[35/32|Septimal neutral second]], 35th harmonic | | [[35/32|Septimal neutral second]], octave-reduced 35th harmonic | ||
| Zoyo | | Zoyo | ||
| zy2 | | zy2 | ||
| 35 / 32 | | 35 / 32 | ||
| {{monzo| -5 0 1 1 }} | | {{monzo| -5 0 1 1 }} | ||
| 155. | | 155.14 | ||
|- | |- | ||
| 43-7/5-comma | | 43-7/5-comma | ||
| Line 392: | Line 444: | ||
| 43ry-26 | | 43ry-26 | ||
| | | | ||
| {{ | | {{Monzo| 21 0 43 -43 }} | ||
| 151. | | 151.98 | ||
|- | |- | ||
| [[49/45|Swetismic neutral second]] | | [[49/45|Swetismic neutral second]] | ||
| Line 399: | Line 451: | ||
| zzg3 | | zzg3 | ||
| 49 / 45 | | 49 / 45 | ||
| {{ | | {{Monzo| 0 -2 -1 2 }} | ||
| 147. | | 147.43 | ||
|- | |- | ||
<!-- until it gets a name | |||
| [[160/147]] | | [[160/147]] | ||
| Ruruyobi | | Ruruyobi | ||
| rry1 | | rry1 | ||
| 160 / 147 | | 160 / 147 | ||
| {{ | | {{Monzo| 5 -1 1 -2 }} | ||
| 146. | | 146.71 | ||
--> | |||
|- | |- | ||
| Hendecatone comma, 11-7-comma | | Hendecatone comma, 11-7-comma | ||
| Line 413: | Line 467: | ||
| ss11r-4 | | ss11r-4 | ||
| 2147483648 / 1977326743 | | 2147483648 / 1977326743 | ||
| {{ | | {{Monzo| 31 0 0 -11 }} | ||
| 142. | | 142.92 | ||
|- | |- | ||
| [[243/224|Septimal subtone]] | | [[243/224|Septimal subtone]] | ||
| Line 420: | Line 474: | ||
| Lr1 | | Lr1 | ||
| 243 / 224 | | 243 / 224 | ||
| {{ | | {{Monzo| -5 5 0 -1 }} | ||
| 140. | | 140.95 | ||
|- | |- | ||
| 55-35-comma | | 55-35-comma | ||
| Line 427: | Line 481: | ||
| 16L55zy7 | | 16L55zy7 | ||
| | | | ||
| {{ | | {{Monzo| -282 0 55 55 }} | ||
| 132. | | 132.68 | ||
|- | |- | ||
| 27-7/5-comma | | 27-7/5-comma | ||
| Line 434: | Line 488: | ||
| 27zg18 | | 27zg18 | ||
| | | | ||
| {{ | | {{Monzo| -13 0 -27 27 }} | ||
| 127. | | 127.83 | ||
|- | |- | ||
| 41-7-comma | | 41-7-comma | ||
| Line 441: | Line 495: | ||
| 6L41z16 | | 6L41z16 | ||
| | | | ||
| {{ | | {{Monzo| -115 0 0 41 }} | ||
| 121. | | 121.86 | ||
|- | |- | ||
| 13-21-comma | | 13-21-comma | ||
| Line 448: | Line 502: | ||
| 4L13z5 | | 4L13z5 | ||
| | | | ||
| {{ | | {{Monzo| -57 13 0 13 }} | ||
| 120. | | 120.15 | ||
|- | |- | ||
| [[15/14| | | [[15/14|Septimal major semitone]] | ||
| Ruyo | | Ruyo | ||
| ry1 | | ry1 | ||
| 15 / 14 | | 15 / 14 | ||
| {{ | | {{Monzo| -1 1 1 -1 }} | ||
| 119. | | 119.44 | ||
|- | |- | ||
| [[Primate comma]] | | [[Primate comma]] | ||
| Line 462: | Line 516: | ||
| sr2 | | sr2 | ||
| 16384 / 15309 | | 16384 / 15309 | ||
| {{ | | {{Monzo| 14 -7 0 -1 }} | ||
| 117. | | 117.49 | ||
|- | |- | ||
| 41-7/5-comma | | 41-7/5-comma | ||
| Line 469: | Line 523: | ||
| 41ry-25 | | 41ry-25 | ||
| | | | ||
| {{ | | {{Monzo| 20 0 41 -41 }} | ||
| 117 | | 117.00 | ||
|- | |- | ||
| 7-35-comma | | 7-35-comma | ||
| Line 476: | Line 530: | ||
| ss7rg1 | | ss7rg1 | ||
| 68719476736 / <br>64339296875 | | 68719476736 / <br>64339296875 | ||
| {{ | | {{Monzo| 36 0 -7 -7 }} | ||
| 114. | | 114.02 | ||
|- | |- | ||
| 38-21-comma | | 38-21-comma | ||
| Line 483: | Line 537: | ||
| 11s38r-10 | | 11s38r-10 | ||
| | | | ||
| {{ | | {{Monzo| 167 -38 0 -38 }} | ||
| 110. | | 110.33 | ||
|- | |- | ||
| | | 3-9/7-comma | ||
| Triru | | Triru | ||
| 3r-2 | | 3r-2 | ||
| 729 / 686 | | 729 / 686 | ||
| {{ | | {{Monzo| -1 6 0 -3 }} | ||
| 105. | | 105.25 | ||
|} | |} | ||
| Line 498: | Line 552: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 507: | Line 561: | ||
| 5L33(1o)-7 | | 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 514: | 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 | ||
| Line 521: | Line 575: | ||
| L9(1o)-2 | | 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 528: | 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 543: | Line 597: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 552: | Line 606: | ||
| 8L53(3o)7 | | 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 559: | 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 566: | 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 | ||
| Line 574: | Line 628: | ||
| 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 | ||
| Line 580: | Line 634: | ||
| ss17(3u)-2 | | ss17(3u)-2 | ||
| | | | ||
| {{ | | {{Monzo| 63 0 0 0 0 -17 }} | ||
| 111. | | 111.03 | ||
|} | |} | ||
| Line 588: | Line 642: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 597: | 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 612: | Line 666: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 621: | Line 675: | ||
| 6L41(19o)13 | | 6L41(19o)13 | ||
| | | | ||
| {{ | | {{Monzo| -174 0 0 0 0 0 0 41 }} | ||
| 198. | | 198.03 | ||
|- | |- | ||
| Undevicesimal rational meantone | | Undevicesimal rational meantone | ||
| Line 628: | 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 | ||
| Line 635: | Line 689: | ||
| 6L45(19o)14 | | 6L45(19o)14 | ||
| | | | ||
| {{ | | {{Monzo| -191 0 0 0 0 0 0 45 }} | ||
| 188. | | 188.09 | ||
|- | |- | ||
| 19-cycle minor tone | | 19-cycle minor tone | ||
| Line 642: | Line 696: | ||
| 7L49(19o)15 | | 7L49(19o)15 | ||
| | | | ||
| {{ | | {{Monzo| -208 0 0 0 0 0 0 49 }} | ||
| 178. | | 178.14 | ||
|- | |- | ||
| Undevicesimal rational submajor second | | Undevicesimal rational submajor second | ||
| Line 649: | 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 | ||
| Line 656: | Line 710: | ||
| 8L53(19o)16 | | 8L53(19o)16 | ||
| | | | ||
| {{ | | {{Monzo| -225 0 0 0 0 0 0 53 }} | ||
| 168. | | 168.19 | ||
|- | |- | ||
| [[81/76|Dog comma]] | | [[81/76|Dog comma]] | ||
| Line 663: | Line 717: | ||
| 19u1 | | 19u1 | ||
| 81 / 76 | | 81 / 76 | ||
| {{ | | {{Monzo| -2 4 0 0 0 0 0 -1 }} | ||
| 110. | | 110.31 | ||
|} | |} | ||
| Line 671: | Line 725: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 680: | 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 687: | 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 702: | Line 756: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
! Cents | ! Cents | ||
|- | |- | ||
| 29th subharmonic | | 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]] | | [[47/44]] | ||
| Fosolu | | Fosolu | ||
| Line 719: | Line 774: | ||
| 47 / 44 | | 47 / 44 | ||
| 2.11.47 {{monzo| -2 -1 1 }} | | 2.11.47 {{monzo| -2 -1 1 }} | ||
| 114. | | 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 |