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Table of 5-limit commas: Difference between revisions

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A [[5-limit]] comma is the amount which separates m<sub>1</sub> [[3/2|fifth]]<nowiki/>s and m<sub>2</sub> [[5/4|third]]<nowiki/>s from n [[octave]]<nowiki/>s. It is the simplest kind of comma a tuning may [[Tempering out|temper out]].
A [[5-limit]] comma is the amount which separates m<sub>1</sub> [[3/2|fifth]]<nowiki/>s and m<sub>2</sub> [[5/4|third]]<nowiki/>s from n [[octave]]<nowiki/>s.


{| class="wikitable"
{| class="wikitable"
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| [[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 51: Line 51:
| 111.731
| 111.731
|-
|-
| [[135/128|major limma]]<br>[[Pelogic family|mavila comma]]<br>[[Pelogic family|pelogic coma]]
| [[135/128|major limma]]<br>[[Pelogic family|mavila comma]]<br>[[Pelogic family|pelogic comma]]
| layobi comma
| layobi comma
| Ly1
| Ly1
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 139: Line 139:
| g1
| g1
| 81 / 80
| 81 / 80
| {{monzo| 4 -1 -1 }}
| {{monzo| -4 4 -1 }}
| 21.506
| 21.506
|-
|-
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 }}
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| {{monzo| -15 8 1 }}
| {{monzo| -15 8 1 }}
| 1.9537
| 1.9537
|-
| [[Luna comma]]
| sasaquintrigu comma
| ss15g5
| 274877906944 / 274658203125
| {{monzo| 38 -2 -15 }}
| 1.3843
|-
| [[Ennealimma]]
| satritribiyo comma
| s18y-3
| 7629394531250 / 7625597484987
| {{monzo| 1 -27 18 }}
| 0.8618
|}
|}


[[Category:5-limit]]
[[Category:5-limit]]
[[Category:Comma]]
[[Category:Lists of commas]]
Retrieved from "https://en.xen.wiki/w/Table_of_5-limit_commas"