Small comma: Difference between revisions
Cmloegcmluin (talk | contribs) →13-limit commas: add link |
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== List of commas, by prime limit == | == List of commas, by prime limit == | ||
=== 3-limit commas === | === 3-limit commas === | ||
{{See also| Table of 3-limit commas }} | {{See also| Table of 3-limit commas }} | ||
Line 81: | Line 80: | ||
|} | |} | ||
=== | === 5-limit commas === | ||
{{See also| Table of 5-limit commas }} | |||
{| class="wikitable" | {| class="wikitable" | ||
Line 406: | Line 406: | ||
|} | |} | ||
=== | === 7-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
! Name(s) | ! Name(s) | ||
Line 864: | Line 863: | ||
|} | |} | ||
=== | === 11-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
Line 1,056: | Line 1,055: | ||
|- | |- | ||
| [[6250/6237|liganellus comma]], liganellisma | | [[6250/6237|liganellus comma]], liganellisma | ||
|Luruquinyo | | Luruquinyo | ||
| 1ury<sup>5</sup>-2 | | 1ury<sup>5</sup>-2 | ||
| 6250/6237 | | 6250/6237 | ||
Line 1,063: | Line 1,062: | ||
|} | |} | ||
=== | === 13-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
! Name(s) | ! Name(s) | ||
Line 1,268: | Line 1,267: | ||
|} | |} | ||
=== | === 17-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
Line 1,313: | Line 1,312: | ||
|- | |- | ||
| 23 semitone comma | | 23 semitone comma | ||
|Trila-twetheso | | Trila-twetheso | ||
|L<sup>3</sup>17o<sup>23</sup>10 | | L<sup>3</sup>17o<sup>23</sup>10 | ||
| | | | ||
| {{monzo| -94 0 0 0 0 0 23 }} | | {{monzo| -94 0 0 0 0 0 23 }} | ||
Line 1,327: | Line 1,326: | ||
|- | |- | ||
| septendecimal schisma<ref>[https://marsbat.space/pdfs/HEJI2legend+series.pdf The Helmholtz-Ellis JI Pitch Notation (HEJI)]</ref> | | septendecimal schisma<ref>[https://marsbat.space/pdfs/HEJI2legend+series.pdf The Helmholtz-Ellis JI Pitch Notation (HEJI)]</ref> | ||
|Lasu | | Lasu | ||
|L17u-2 | | L17u-2 | ||
| [[2187/2176]] | | [[2187/2176]] | ||
| {{monzo| -7 7 0 0 0 0 -1 }} | | {{monzo| -7 7 0 0 0 0 -1 }} | ||
Line 1,334: | Line 1,333: | ||
|- | |- | ||
| [[Mean thirds comma]] | | [[Mean thirds comma]] | ||
|Lasosoyo | | Lasosoyo | ||
|L17ooy1 | | L17ooy1 | ||
|1053405/1048576 | | 1053405/1048576 | ||
|{{monzo|-20 6 1 0 0 0 2}} | | {{monzo|-20 6 1 0 0 0 2}} | ||
|7.9545 | | 7.9545 | ||
|- | |- | ||
| Blume comma | | Blume comma | ||
|Sololo | | Sololo | ||
|17o1oo1 | | 17o1oo1 | ||
|2057/2048 | | 2057/2048 | ||
|{{monzo| -11 0 0 0 2 0 1 }} | | {{monzo| -11 0 0 0 2 0 1 }} | ||
|7.5913 | | 7.5913 | ||
|- | |- | ||
|septendecimal kleisma | | septendecimal kleisma | ||
|Sugu | | Sugu | ||
|17ug1 | | 17ug1 | ||
|256/255 | | 256/255 | ||
| | | {{monzo| 8 -1 -1 0 0 0 -1 }} | ||
{{monzo| 8 -1 -1 0 0 0 -1 }} | | 6.7759 | ||
|6.7759 | |||
|- | |- | ||
|tannisma | | tannisma | ||
|Suthozo | | Suthozo | ||
|17u3oz1 | | 17u3oz1 | ||
|[[273/272]] | | [[273/272]] | ||
|{{monzo| -4 1 0 1 0 1 -1}} | | {{monzo| -4 1 0 1 0 1 -1}} | ||
|6.3532 | | 6.3532 | ||
|- | |- | ||
|septendecimal integer cents comma | | septendecimal integer cents comma | ||
|Soso | | Soso | ||
|17oo2 | | 17oo2 | ||
|[[289/288]] | | [[289/288]] | ||
|{{monzo| -5 -2 0 0 0 0 2 }} | | {{monzo| -5 -2 0 0 0 0 2 }} | ||
|6.0008 | | 6.0008 | ||
|- | |- | ||
|17-ripple <strike>integer cents</strike> comma | | 17-ripple <strike>integer cents</strike> comma{{clarify}} | ||
| | | | ||
| | | | ||
| | | | ||
|{{monzo| 327 0 0 0 0 0 -80 }} | | {{monzo| 327 0 0 0 0 0 -80 }} | ||
|3.5672 | | 3.5672 | ||
|} | |} | ||
=== | === 19-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
!Name(s) | ! Name(s) | ||
! colspan="2" |[[Color name]] | ! colspan="2" |[[Color name]] | ||
!Ratio | ! Ratio | ||
!Monzo | ! Monzo | ||
!Cents | ! Cents | ||
|- | |- | ||
| nuruyo comma | | nuruyo comma | ||
|Nuruyo | | Nuruyo | ||
|19ury-2 | | 19ury-2 | ||
|135/133 | | 135/133 | ||
|{{monzo| 0 3 1 -1 0 0 0 -1 }} | | {{monzo| 0 3 1 -1 0 0 0 -1 }} | ||
|25.84 | | 25.84 | ||
|- | |- | ||
| nogugu 2nd | | nogugu 2nd | ||
|Nogugu | | Nogugu | ||
|19ogg2 | | 19ogg2 | ||
|76/75 | | 76/75 | ||
|{{monzo| 2 -1 -2 0 0 0 0 1 }} | | {{monzo| 2 -1 -2 0 0 0 0 1 }} | ||
| 22.931 | | 22.931 | ||
|- | |- | ||
| nulozo unison (approximation to the adjacent step of 53edo) | | nulozo unison (approximation to the adjacent step of 53edo) | ||
|Nulozo | | Nulozo | ||
| 19u1oz1 | | 19u1oz1 | ||
|77/76 | | 77/76 | ||
|{{monzo| -2 0 0 1 1 0 0 -1 }} | | {{monzo| -2 0 0 1 1 0 0 -1 }} | ||
|22.631 | | 22.631 | ||
|- | |- | ||
|19th-partial chroma | | 19th-partial chroma | ||
|Nugu | | Nugu | ||
|19ug1 | | 19ug1 | ||
|96/95 | | 96/95 | ||
|{{monzo| 5 1 -1 0 0 0 0 -1 }} | | {{monzo| 5 1 -1 0 0 0 0 -1 }} | ||
|18.128 | | 18.128 | ||
|- | |- | ||
|ume comma | | ume comma | ||
| Nutriso | | Nutriso | ||
|19u17o<sup>3</sup>2 | | 19u17o<sup>3</sup>2 | ||
|4913/4864 | | 4913/4864 | ||
|{{monzo| -8 0 0 0 0 0 3 -1 }} | | {{monzo| -8 0 0 0 0 0 3 -1 }} | ||
|17.353 | | 17.353 | ||
|- | |- | ||
|noluzo 2nd | | noluzo 2nd | ||
| Noluzo | | Noluzo | ||
|19o1uz2 | | 19o1uz2 | ||
|133/132 | | 133/132 | ||
|{{monzo| -2 -1 0 1 -1 0 0 1 }} | | {{monzo| -2 -1 0 1 -1 0 0 1 }} | ||
|13.066 | | 13.066 | ||
|- | |- | ||
|[[153/152|ganassisma]], Ganassi's comma | | [[153/152|ganassisma]], Ganassi's comma | ||
|Nuso | | Nuso | ||
|19u17o1 | | 19u17o1 | ||
|153/152 | | 153/152 | ||
|{{monzo| -3 2 0 0 0 0 1 -1 }} | | {{monzo| -3 2 0 0 0 0 1 -1 }} | ||
|11.352 | | 11.352 | ||
|- | |- | ||
|nosugu unison | | nosugu unison | ||
|Nosugu | | Nosugu | ||
|19o17ug1 | | 19o17ug1 | ||
|171/170 | | 171/170 | ||
|{{monzo| -1 2 -1 0 0 0 -1 1 }} | | {{monzo| -1 2 -1 0 0 0 -1 1 }} | ||
|10.154 | | 10.154 | ||
|- | |- | ||
| eye comma | | eye comma | ||
|Nusosolulu | | Nusosolulu | ||
|19u17oo1uu2 | | 19u17oo1uu2 | ||
|2312/2299 | | 2312/2299 | ||
|{{monzo| 3 0 0 0 -2 0 2 -1 }} | | {{monzo| 3 0 0 0 -2 0 2 -1 }} | ||
|9.7619 | | 9.7619 | ||
|- | |- | ||
|Hunt 19-cycle comma | | Hunt 19-cycle comma | ||
| Saquadnu | | Saquadnu | ||
|s19u<sup>4</sup>-2 | | s19u<sup>4</sup>-2 | ||
| 131072 / 130321 | | 131072 / 130321 | ||
|{{monzo| 17 0 0 0 0 0 0 -4 }} | | {{monzo| 17 0 0 0 0 0 0 -4 }} | ||
|9.9479 | | 9.9479 | ||
|- | |- | ||
|binulo comma | | binulo comma | ||
| Binulo | | Binulo | ||
|19uu1oo-2 | | 19uu1oo-2 | ||
|363/361 | | 363/361 | ||
|{{monzo| 0 1 0 0 2 0 0 -2 }} | | {{monzo| 0 1 0 0 2 0 0 -2 }} | ||
|9.5649 | | 9.5649 | ||
|- | |- | ||
| yama comma | | yama comma | ||
|Nothulo | | Nothulo | ||
|19o3u1o1 | | 19o3u1o1 | ||
|209/208 | | 209/208 | ||
|{{monzo| -4 0 0 0 1 -1 0 1 }} | | {{monzo| -4 0 0 0 1 -1 0 1 }} | ||
|8.3033 | | 8.3033 | ||
|- | |- | ||
| spleen comma | | spleen comma | ||
|Nuluzoyo | | Nuluzoyo | ||
|19u1uzy1 | | 19u1uzy1 | ||
|210/209 | | 210/209 | ||
| {{monzo| 1 1 1 1 -1 0 0 -1 }} | | {{monzo| 1 1 1 1 -1 0 0 -1 }} | ||
|8.2637 | | 8.2637 | ||
|- | |- | ||
|nuthologu comma | | nuthologu comma | ||
| Nuthologu | | Nuthologu | ||
|19u3o1og1 | | 19u3o1og1 | ||
|286/285 | | 286/285 | ||
|{{monzo| 1 -1 -1 0 1 1 0 -1 }} | | {{monzo| 1 -1 -1 0 1 1 0 -1 }} | ||
|6.0639 | | 6.0639 | ||
|- | |- | ||
| nusu comma | | nusu comma | ||
|Nusu | | Nusu | ||
|19u17u-2 | | 19u17u-2 | ||
|[[324/323]] | | [[324/323]] | ||
| | | {{monzo| 2 4 0 0 0 0 -1 -1 }} | ||
{{monzo| 2 4 0 0 0 0 -1 -1 }} | | 5.3516 | ||
|5.3516 | |||
|- | |- | ||
|go comma | | go comma | ||
|Nonogu | | Nonogu | ||
|19oog2 | | 19oog2 | ||
|361/360 | | 361/360 | ||
|{{monzo| -3 -2 -1 0 0 0 0 2 }} | | {{monzo| -3 -2 -1 0 0 0 0 2 }} | ||
|4.8023 | | 4.8023 | ||
|} | |} | ||
==Higher-limit commas== | === Higher-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
!Name(s) | ! Name(s) | ||
! colspan="2" |[[Color name]] | ! colspan="2" | [[Color name]] | ||
!Ratio | ! Ratio | ||
!Monzo | ! Monzo | ||
!Cents | ! Cents | ||
|- | |- | ||
|Classical mediant of Didymus' and Archytas' commas | | Classical mediant of Didymus' and Archytas' commas | ||
| Twenothuluyo | | Twenothuluyo | ||
|29o3u1uy1 | | 29o3u1uy1 | ||
|145/143 | | 145/143 | ||
| | | {{Monzo| 0 0 1 0 -1 -1 0 0 0 1 }} | ||
{{Monzo| 0 0 1 0 -1 -1 0 0 0 1 }} | | 24.045 | ||
|24.045 | |||
|} | |} | ||
== Notes == | |||
<references /> | <references /> | ||
[[Category:Commas]] | [[Category:Commas]] | ||
[[Category:Small commas| ]] | [[Category:Small commas| ]] <!-- main article --> | ||
<!-- main article --> |