Small comma: Difference between revisions

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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]] ===
=== 5-limit commas ===
{{See also| Table of 5-limit commas }}


{| class="wikitable"
{| class="wikitable"
Line 406: Line 406:
|}
|}


=== [[7-limit commas]] ===
=== 7-limit commas ===
 
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 864: Line 863:
|}
|}


=== [[11-limit commas]] ===
=== 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]] ===
=== 13-limit commas ===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 1,268: Line 1,267:
|}
|}


=== [[17-limit commas]] ===
=== 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]]===
=== 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 -->