Table of 5-limit commas: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older edit
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
4,516 edits
No edit summary
TallKite (talk | contribs)
autopatrolled, Sysops
3,990 edits
updated the short form of color names
 
(One intermediate revision by one other user not shown)
Line 11: Line 11:
| [[144/125|classic diminished third]]<br>[[University temperament|university comma]]
| [[144/125|classic diminished third]]<br>[[University temperament|university comma]]
| trigubi comma
| trigubi comma
| g<sup>3</sup>3
| 3g3
| 144 / 125
| 144 / 125
| {{monzo| 4 2 -3 }}
| {{monzo| 4 2 -3 }}
Line 32: Line 32:
| [[Laconic|laconic comma]]
| [[Laconic|laconic comma]]
| latrigubi comma
| latrigubi comma
| Lg<sup>3</sup>2
| L3g2
| 2187 / 2000
| 2187 / 2000
| {{monzo| -4 7 -3 }}
| {{monzo| -4 7 -3 }}
Line 81: Line 81:
| 12&amp;163 comma
| 12&amp;163 comma
| quadlagu comma
| quadlagu comma
| L<sup>4</sup>g-3
| 4Lg-3
| 22876792454961 / 21990232555520
| 22876792454961 / 21990232555520
| {{monzo| -42 28 -1 }}
| {{monzo| -42 28 -1 }}
Line 88: Line 88:
| [[Sensamagic clan #Leapweek|leapweek comma]]
| [[Sensamagic clan #Leapweek|leapweek comma]]
| quadsagu comma
| quadsagu comma
| s<sup>4</sup>g4
| 4sg4
| 4398046511104 / 4236443047215
| 4398046511104 / 4236443047215
| {{monzo| 42 -25 -1 }}
| {{monzo| 42 -25 -1 }}
Line 95: Line 95:
| 12&amp;197 comma
| 12&amp;197 comma
| quinlayo comma
| quinlayo comma
| L<sup>5</sup>y-4
| 5Ly-4
| 9265100944259205 / 9007199254740992
| 9265100944259205 / 9007199254740992
| {{monzo| -53 32 1 }}
| {{monzo| -53 32 1 }}
Line 102: Line 102:
| [[Leapday|leapday comma]]
| [[Leapday|leapday comma]]
| trisayo comma
| trisayo comma
| s<sup>3</sup>y3
| 3sy3
| 10737418240 / 10460353203
| 10737418240 / 10460353203
| {{monzo| 31 -21 1 }}
| {{monzo| 31 -21 1 }}
| 45.259
| 45.259
|-
|-
| [[Schismic-Pythagorean equivalence continuum|double large green comma]]
| [[Schismic–Pythagorean equivalence continuum|double large green comma]]
| lalagu comma
| lalagu comma
| LLg-2
| LLg-2
Line 116: Line 116:
| [[128/125|diesis]]<br>[[Augmented family|augmented comma]]
| [[128/125|diesis]]<br>[[Augmented family|augmented comma]]
| trigu comma
| trigu comma
| g<sup>3</sup>2
| 3g2
| 128 / 125
| 128 / 125
| {{monzo| 7 0 -3 }}
| {{monzo| 7 0 -3 }}
Line 123: Line 123:
| [[Marvel temperaments #Gracecordial|gracecordial comma]]
| [[Marvel temperaments #Gracecordial|gracecordial comma]]
| trilayo comma
| trilayo comma
| L<sup>3</sup>y-3
| 3Ly-3
| 17433922005 / 17179869184
| 17433922005 / 17179869184
| {{monzo| -34 20 1 }}
| {{monzo| -34 20 1 }}
Line 130: Line 130:
| [[Mirkwai clan #Kwai|kwai comma]]
| [[Mirkwai clan #Kwai|kwai comma]]
| quinsayo comma
| quinsayo comma
| s<sup>5</sup>y4
| 5sy4
| 5629499534213120 / 5559060566555523
| 5629499534213120 / 5559060566555523
| {{monzo| 50 -33 1 }}
| {{monzo| 50 -33 1 }}
Line 151: Line 151:
| [[vulture comma]]
| [[vulture comma]]
| sasaquadyo comma
| sasaquadyo comma
| ssy<sup>4</sup>2
| ss4y2
| 10485760000 / 10460353203
| 10485760000 / 10460353203
| {{monzo| 24 -21 4 }}
| {{monzo| 24 -21 4 }}
Line 165: Line 165:
| [[Luna comma]]
| [[Luna comma]]
| sasaquintrigu comma
| sasaquintrigu comma
| ssg<sup>15</sup>5
| ss15g5
| 274877906944 / 274658203125
| 274877906944 / 274658203125
| {{monzo| 38 -2 -15 }}
| {{monzo| 38 -2 -15 }}
Line 172: Line 172:
| [[Ennealimma]]
| [[Ennealimma]]
| satritribiyo comma
| satritribiyo comma
| sy<sup>18</sup>-3
| s18y-3
| 7629394531250 / 7625597484987
| 7629394531250 / 7625597484987
| {{monzo| 1 -27 18 }}
| {{monzo| 1 -27 18 }}

Latest revision as of 23:13, 3 May 2025

A 5-limit comma is the amount which separates m1 fifths and m2 thirds from n octaves.

Name(s) Color Name Ratio Monzo Cents
classic diminished third
university comma 		trigubi comma 3g3 144 / 125 [4 2 -3⟩ 244.969
uncle comma sagu comma sg3 4096 / 3645 [12 -6 -1⟩ 201.956
minor whole tone yo comma y2 10 / 9 [1 -2 1⟩ 182.404
laconic comma latrigubi comma L3g2 2187 / 2000 [-4 7 -3⟩ 154.744
large limma
acute diatonic semitone
bug comma 		gugu comma gg2 27 / 25 [0 3 -2⟩ 133.238
diatonic semitone
father comma 		gubi comma g2 16 / 15 [4 -1 -1⟩ 111.731
major limma
mavila comma
pelogic comma 		layobi comma Ly1 135 / 128 [-7 3 1⟩ 92.179
quasisuper comma sasagu comma ssg3 8388608 / 7971615 [23 -13 -1⟩ 88.271
chromatic semitone
dicot comma 		yoyo comma yy1 25 / 24 [-3 -1 2⟩ 70.672
superpyth comma sayo comma sy2 20480 / 19683 [12 -9 1⟩ 68.719
12&163 comma quadlagu comma 4Lg-3 22876792454961 / 21990232555520 [-42 28 -1⟩ 68.426
leapweek comma quadsagu comma 4sg4 4398046511104 / 4236443047215 [42 -25 -1⟩ 64.811
12&197 comma quinlayo comma 5Ly-4 9265100944259205 / 9007199254740992 [-53 32 1⟩ 48.874
leapday comma trisayo comma 3sy3 10737418240 / 10460353203 [31 -21 1⟩ 45.259
double large green comma lalagu comma LLg-2 43046721 / 41943040 [-23 16 -1⟩ 44.966
diesis
augmented comma 		trigu comma 3g2 128 / 125 [7 0 -3⟩ 41.059
gracecordial comma trilayo comma 3Ly-3 17433922005 / 17179869184 [-34 20 1⟩ 25.414
kwai comma quinsayo comma 5sy4 5629499534213120 / 5559060566555523 [50 -33 1⟩ 21.799
syntonic comma
meantone comma
didymus comma 		gu comma g1 81 / 80 [-4 4 -1⟩ 21.506
Diaschisma sagugu comma sgg2 2048 / 2025 [11 -4 -2⟩ 19.553
vulture comma sasaquadyo comma ss4y2 10485760000 / 10460353203 [24 -21 4⟩ 4.1998
Schisma layo comma Ly-2 32805 / 32768 [-15 8 1⟩ 1.9537
Luna comma sasaquintrigu comma ss15g5 274877906944 / 274658203125 [38 -2 -15⟩ 1.3843
Ennealimma satritribiyo comma s18y-3 7629394531250 / 7625597484987 [1 -27 18⟩ 0.8618
Retrieved from "https://en.xen.wiki/index.php?title=Table_of_5-limit_commas&oldid=195059"