5edo: Difference between revisions

Commas: Cleanup; names; -wrong ratio
Commas: +prime limit column
Line 167: Line 167:
5-EDO tempers out the following [[comma]]s. This assumes the val {{val| 5 8 12 14 17 19 }}.  
5-EDO tempers out the following [[comma]]s. This assumes the val {{val| 5 8 12 14 17 19 }}.  


{| class="wikitable center-all left-2 right-3 left-5"
{| class="wikitable center-1 center-2 right-4 center-5"
|-
|-
! [[Harmonic limit|Prime<br>Limit]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 175: Line 176:
! Name(s)
! Name(s)
|-
|-
| 3
| [[256/243]]
| [[256/243]]
| {{Monzo| 8 -5 }}
| {{Monzo| 8 -5 }}
| 90.225
| 90.225
| Sawa
| Sawa
| Limma, Pythagorean minor 2nd
| Limma, Pythagorean diatonic semitone
|-
|-
| 5
| [[27/25]]
| [[27/25]]
| {{Monzo| 0 3 -2 }}
| {{Monzo| 0 3 -2 }}
Line 187: Line 190:
| Large limma
| Large limma
|-
|-
| 5
| [[16/15]]
| [[16/15]]
| {{Monzo| 4 -1 -1 }}
| {{Monzo| 4 -1 -1 }}
Line 193: Line 197:
| Classic diatonic semitone
| Classic diatonic semitone
|-
|-
| 5
| [[81/80]]
| [[81/80]]
| {{Monzo| -4 4 -1 }}
| {{Monzo| -4 4 -1 }}
Line 199: Line 204:
| Syntonic comma, Didymus comma, meantone comma
| Syntonic comma, Didymus comma, meantone comma
|-
|-
| 5
| [[Vulture comma|…]]
| [[Vulture comma|…]]
| {{Monzo| 24 -21 4 }}
| {{Monzo| 24 -21 4 }}
Line 205: Line 211:
| Vulture
| Vulture
|-
|-
| 7
| [[36/35]]
| [[36/35]]
| {{Monzo| 2 2 -1 -1 }}
| {{Monzo| 2 2 -1 -1 }}
Line 211: Line 218:
| Septimal quarter tone
| Septimal quarter tone
|-
|-
| 7
| [[49/48]]
| [[49/48]]
| {{Monzo| -4 -1 0 2 }}
| {{Monzo| -4 -1 0 2 }}
Line 217: Line 225:
| Slendro diesis
| Slendro diesis
|-
|-
| 7
| [[64/63]]
| [[64/63]]
| {{Monzo| 6 -2 0 -1 }}
| {{Monzo| 6 -2 0 -1 }}
Line 223: Line 232:
| Septimal comma, Archytas' comma, Leipziger Komma
| Septimal comma, Archytas' comma, Leipziger Komma
|-
|-
| 7
| [[245/243]]
| [[245/243]]
| {{Monzo| 0 -5 1 2 }}
| {{Monzo| 0 -5 1 2 }}
Line 229: Line 239:
| Sensamagic
| Sensamagic
|-
|-
| 7
| [[1728/1715]]
| [[1728/1715]]
| {{Monzo| 6 3 -1 -3 }}
| {{Monzo| 6 3 -1 -3 }}
Line 235: Line 246:
| Orwellisma, Orwell comma
| Orwellisma, Orwell comma
|-
|-
| 7
| [[1029/1024]]
| [[1029/1024]]
| {{Monzo| -10 1 0 3 }}
| {{Monzo| -10 1 0 3 }}
Line 241: Line 253:
| Gamelisma
| Gamelisma
|-
|-
| 7
| [[19683/19600]]
| [[19683/19600]]
| {{Monzo| -4 9 -2 -2 }}
| {{Monzo| -4 9 -2 -2 }}
Line 247: Line 260:
| Cataharry
| Cataharry
|-
|-
| 7
| [[5120/5103]]
| [[5120/5103]]
| {{Monzo| 10 -6 1 -1 }}
| {{Monzo| 10 -6 1 -1 }}
Line 253: Line 267:
| Hemifamity
| Hemifamity
|-
|-
| 7
| …
| …
| {{Monzo| -26 -1 1 9 }}
| {{Monzo| -26 -1 1 9 }}
Line 259: Line 274:
| Wadisma
| Wadisma
|-
|-
| 7
| [[420175/419904]]
| [[420175/419904]]
| {{Monzo| -6 -8 2 5 }}
| {{Monzo| -6 -8 2 5 }}
Line 265: Line 281:
| Wizma
| Wizma
|-
|-
| 11
| [[11/10]]
| [[11/10]]
| {{Monzo| -1 0 -1 0 1 }}
| {{Monzo| -1 0 -1 0 1 }}
Line 271: Line 288:
| Large undecimal neutral 2nd
| Large undecimal neutral 2nd
|-
|-
| 11
| [[99/98]]
| [[99/98]]
| {{Monzo| -1 2 0 -2 1 }}
| {{Monzo| -1 2 0 -2 1 }}
Line 277: Line 295:
| Mothwellsma
| Mothwellsma
|-
|-
| 11
| [[896/891]]
| [[896/891]]
| {{Monzo| 7 -4 0 1 -1 }}
| {{Monzo| 7 -4 0 1 -1 }}
Line 283: Line 302:
| Pentacircle
| Pentacircle
|-
|-
| 11
| [[385/384]]
| [[385/384]]
| {{Monzo| -7 -1 1 1 1 }}
| {{Monzo| -7 -1 1 1 1 }}
Line 289: Line 309:
| Keenanisma
| Keenanisma
|-
|-
| 11
| [[441/440]]
| [[441/440]]
| {{Monzo| -3 2 -1 2 -1 }}
| {{Monzo| -3 2 -1 2 -1 }}
Line 295: Line 316:
| Werckisma
| Werckisma
|-
|-
| 11
| [[3025/3024]]
| [[3025/3024]]
| {{Monzo| -4 -3 2 -1 2 }}
| {{Monzo| -4 -3 2 -1 2 }}
Line 301: Line 323:
| Lehmerisma
| Lehmerisma
|-
|-
| 13
| [[14/13]]
| [[14/13]]
| {{Monzo| 1 0 0 1 0 -1 }}
| {{Monzo| 1 0 0 1 0 -1 }}
Line 307: Line 330:
| Tridecimal 2/3-tone, trienthird
| Tridecimal 2/3-tone, trienthird
|-
|-
| 13
| [[91/90]]
| [[91/90]]
| {{Monzo| -1 -2 -1 1 0 1 }}
| {{Monzo| -1 -2 -1 1 0 1 }}
Line 313: Line 337:
| Superleap
| Superleap
|-
|-
| 13
| [[676/675]]
| [[676/675]]
| {{Monzo| 2 -3 -2 0 0 2 }}
| {{Monzo| 2 -3 -2 0 0 2 }}