Large comma: Difference between revisions
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== 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 106: | 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 120: | 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 134: | Line 152: | ||
| LL16y-4 | | LL16y-4 | ||
| 152587890625 / <br>137438953472 | | 152587890625 / <br>137438953472 | ||
| {{ | | {{Monzo| -37 0 16 }} | ||
| 181. | | 181.02 | ||
| | |||
|- | |- | ||
| [[Nadir comma]] | | [[Nadir comma]] | ||
| Line 141: | 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 169: | Line 194: | ||
| LLgg1 | | LLgg1 | ||
| 14348907 / 13107200 | | 14348907 / 13107200 | ||
| {{ | | {{Monzo| -19 15 -2 }} | ||
| 156. | | 156.70 | ||
| {{U|Akselai}} (2024) | |||
|- | |- | ||
| [[Rarity comma]] | | [[Rarity comma]] | ||
| Line 176: | 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 197: | 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 204: | 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 211: | 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 225: | 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 232: | 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 246: | Line 298: | ||
| | | | ||
| | | | ||
| {{ | | {{Monzo| 340 -87 -87 }} | ||
| 120. | | 120.62 | ||
| | |||
|- | |- | ||
| [[3125/2916|Sixix comma]] | | [[3125/2916|Sixix comma]] | ||
| Line 253: | Line 306: | ||
| 5y1 | | 5y1 | ||
| 3125 / 2916 | | 3125 / 2916 | ||
| {{ | | {{Monzo| -2 -6 5 }} | ||
| 119. | | 119.84 | ||
| | |||
|- | |- | ||
| Diesma | | Diesma | ||
| Line 260: | Line 314: | ||
| L13g3 | | L13g3 | ||
| 10460353203 / <br>9765625000 | | 10460353203 / <br>9765625000 | ||
| {{ | | {{Monzo| -3 21 -13 }} | ||
| 118. | | 118.98 | ||
| | |||
|- | |- | ||
| Comic comma | | Comic comma | ||
| Line 267: | 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 288: | 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 302: | Line 370: | ||
| L7y-2 | | L7y-2 | ||
| 78125 / 73728 | | 78125 / 73728 | ||
| {{ | | {{Monzo| -13 -2 7 }} | ||
| 100. | | 100.29 | ||
| | |||
|} | |} | ||
| Line 310: | 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 341: | 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 348: | Line 395: | ||
| 45ry-27 | | 45ry-27 | ||
| | | | ||
| {{ | | {{Monzo| 22 0 45 -45 }} | ||
| 186. | | 186.95 | ||
|- | |- | ||
| 63-35-comma | | 63-35-comma | ||
| Line 355: | Line 402: | ||
| 18L63zy8 | | 18L63zy8 | ||
| | | | ||
| {{ | | {{Monzo| -323 0 63 63 }} | ||
| 173. | | 173.80 | ||
|- | |- | ||
| 8-21-comma | | 8-21-comma | ||
| Line 362: | 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 369: | Line 416: | ||
| 7L46z18 | | 7L46z18 | ||
| | | | ||
| {{ | | {{Monzo| -129 0 0 46 }} | ||
| 165. | | 165.99 | ||
|- | |- | ||
| 25-7/5-comma | | 25-7/5-comma | ||
| Line 376: | Line 423: | ||
| 25zg17 | | 25zg17 | ||
| | | | ||
| {{ | | {{Monzo| -12 0 -25 25 }} | ||
| 162. | | 162.80 | ||
|- | |- | ||
| 43-21-comma | | 43-21-comma | ||
| Line 383: | 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 397: | 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 404: | 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 418: | 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 425: | Line 474: | ||
| Lr1 | | Lr1 | ||
| 243 / 224 | | 243 / 224 | ||
| {{ | | {{Monzo| -5 5 0 -1 }} | ||
| 140. | | 140.95 | ||
|- | |- | ||
| 55-35-comma | | 55-35-comma | ||
| Line 432: | Line 481: | ||
| 16L55zy7 | | 16L55zy7 | ||
| | | | ||
| {{ | | {{Monzo| -282 0 55 55 }} | ||
| 132. | | 132.68 | ||
|- | |- | ||
| 27-7/5-comma | | 27-7/5-comma | ||
| Line 439: | Line 488: | ||
| 27zg18 | | 27zg18 | ||
| | | | ||
| {{ | | {{Monzo| -13 0 -27 27 }} | ||
| 127. | | 127.83 | ||
|- | |- | ||
| 41-7-comma | | 41-7-comma | ||
| Line 446: | Line 495: | ||
| 6L41z16 | | 6L41z16 | ||
| | | | ||
| {{ | | {{Monzo| -115 0 0 41 }} | ||
| 121. | | 121.86 | ||
|- | |- | ||
| 13-21-comma | | 13-21-comma | ||
| Line 453: | 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 467: | 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 474: | Line 523: | ||
| 41ry-25 | | 41ry-25 | ||
| | | | ||
| {{ | | {{Monzo| 20 0 41 -41 }} | ||
| 117 | | 117.00 | ||
|- | |- | ||
| 7-35-comma | | 7-35-comma | ||
| Line 481: | 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 488: | 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 503: | Line 552: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 512: | 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 519: | 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 526: | 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 533: | 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 548: | Line 597: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 557: | 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 564: | 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 571: | 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 579: | 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 585: | Line 634: | ||
| ss17(3u)-2 | | ss17(3u)-2 | ||
| | | | ||
| {{ | | {{Monzo| 63 0 0 0 0 -17 }} | ||
| 111. | | 111.03 | ||
|} | |} | ||
| Line 593: | Line 642: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 602: | 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 617: | Line 666: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 626: | 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 633: | 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 640: | 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 647: | 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 654: | 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 661: | 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 668: | Line 717: | ||
| 19u1 | | 19u1 | ||
| 81 / 76 | | 81 / 76 | ||
| {{ | | {{Monzo| -2 4 0 0 0 0 0 -1 }} | ||
| 110. | | 110.31 | ||
|} | |} | ||
| Line 676: | Line 725: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[ | ! colspan="2" | [[Kite's color notation|Color name]] | ||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 685: | 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 692: | 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 707: | 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 724: | 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 |