7edo: Difference between revisions

m Commas: +alternative names; -wrong ratio
Commas: +Prime limit column; chroma > dicot comma
Line 142: Line 142:
7 EDO tempers out the following commas. This assumes val {{val| 7 11 16 20 24 26 }}.  
7 EDO tempers out the following commas. This assumes val {{val| 7 11 16 20 24 26 }}.  


{| 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]]s
! [[Ratio]]s
! [[Monzo]]
! [[Monzo]]
Line 150: Line 151:
! Name(s)
! Name(s)
|-
|-
| 3
| [[2187/2048]]
| [[2187/2048]]
| {{Monzo| -11 7 }}
| {{Monzo| -11 7 }}
Line 156: Line 158:
| Apotome, Pythagorean chromatic semitone
| Apotome, Pythagorean chromatic semitone
|-
|-
| 5
| [[135/128]]
| [[135/128]]
| {{Monzo| -7 3 1 }}
| {{Monzo| -7 3 1 }}
Line 162: Line 165:
| Major chroma, major limma, pelogic comma
| Major chroma, major limma, pelogic comma
|-
|-
| 5
| [[25/24]]
| [[25/24]]
| {{Monzo| -3 -1 2 }}
| {{Monzo| -3 -1 2 }}
| 70.67
| 70.67
| Yoyo
| Yoyo
| Classic chromatic semitone, classic chroma
| Classic chromatic semitone, dicot comma
|-
|-
| 5
| [[250/243]]
| [[250/243]]
| {{Monzo| 1 -5 3 }}
| {{Monzo| 1 -5 3 }}
Line 174: Line 179:
| Maximal diesis, porcupine comma
| Maximal diesis, porcupine comma
|-
|-
| 5
| [[20000/19683]]
| [[20000/19683]]
| {{Monzo| 5 -9 4 }}
| {{Monzo| 5 -9 4 }}
Line 180: Line 186:
| Minimal diesis, tetracot comma
| Minimal diesis, tetracot comma
|-
|-
| 5
| [[81/80]]
| [[81/80]]
| {{Monzo| -4 4 -1 }}
| {{Monzo| -4 4 -1 }}
Line 186: Line 193:
| Syntonic comma, Didymus comma, meantone comma
| Syntonic comma, Didymus comma, meantone comma
|-
|-
| 5
| [[1600000/1594323]]
| [[1600000/1594323]]
| {{Monzo| 9 -13 5 }}
| {{Monzo| 9 -13 5 }}
Line 192: Line 200:
| Amity comma
| Amity comma
|-
|-
| 7
| [[36/35]]
| [[36/35]]
| {{Monzo| 2 2 -1 -1 }}
| {{Monzo| 2 2 -1 -1 }}
Line 198: Line 207:
| Septimal quartertone
| Septimal quartertone
|-
|-
| 7
| [[525/512]]
| [[525/512]]
| {{Monzo| -9 1 2 1 }}
| {{Monzo| -9 1 2 1 }}
Line 204: Line 214:
| Avicennma, Avicenna's enharmonic diesis
| Avicennma, Avicenna's enharmonic diesis
|-
|-
| 7
| [[64/63]]
| [[64/63]]
| {{Monzo| 6 -2 0 -1 }}
| {{Monzo| 6 -2 0 -1 }}
Line 210: Line 221:
| Septimal comma, Archytas' comma, Leipziger Komma
| Septimal comma, Archytas' comma, Leipziger Komma
|-
|-
| 7
| [[875/864]]
| [[875/864]]
| {{Monzo| -5 -3 3 1 }}
| {{Monzo| -5 -3 3 1 }}
Line 216: Line 228:
| Keema
| Keema
|-
|-
| 7
| [[5120/5103]]
| [[5120/5103]]
| {{Monzo| 10 -6 1 -1 }}
| {{Monzo| 10 -6 1 -1 }}
Line 222: Line 235:
| Hemifamity
| Hemifamity
|-
|-
| 7
| [[6144/6125]]
| [[6144/6125]]
| {{Monzo| 11 1 -3 -2 }}
| {{Monzo| 11 1 -3 -2 }}
Line 228: Line 242:
| Porwell
| Porwell
|-
|-
| 7
| [[4375/4374]]
| [[4375/4374]]
| {{Monzo| -1 -7 4 1 }}
| {{Monzo| -1 -7 4 1 }}
Line 234: Line 249:
| Ragisma
| Ragisma
|-
|-
| 7
| …
| …
| {{Monzo| 47 -7 -7 -7 }}
| {{Monzo| 47 -7 -7 -7 }}
Line 240: Line 256:
| Akjaysma, 5\7 octave comma
| Akjaysma, 5\7 octave comma
|-
|-
| 11
| [[100/99]]
| [[100/99]]
| {{Monzo| 2 -2 2 0 -1 }}
| {{Monzo| 2 -2 2 0 -1 }}
Line 246: Line 263:
| Ptolemisma
| Ptolemisma
|-
|-
| 11
| [[121/120]]
| [[121/120]]
| {{Monzo| -3 -1 -1 0 2 }}
| {{Monzo| -3 -1 -1 0 2 }}
Line 252: Line 270:
| Biyatisma
| Biyatisma
|-
|-
| 11
| [[176/175]]
| [[176/175]]
| {{Monzo| 4 0 -2 -1 1 }}
| {{Monzo| 4 0 -2 -1 1 }}
Line 258: Line 277:
| Valinorsma
| Valinorsma
|-
|-
| 11
| [[65536/65219]]
| [[65536/65219]]
| {{Monzo| 16 0 0 -2 -3 }}
| {{Monzo| 16 0 0 -2 -3 }}
Line 264: Line 284:
| Orgonisma
| Orgonisma
|-
|-
| 11
| [[243/242]]
| [[243/242]]
| {{Monzo| -1 5 0 0 -2 }}
| {{Monzo| -1 5 0 0 -2 }}
Line 270: Line 291:
| Rastma
| Rastma
|-
|-
| 11
| [[385/384]]
| [[385/384]]
| {{Monzo| -7 -1 1 1 1 }}
| {{Monzo| -7 -1 1 1 1 }}
Line 276: Line 298:
| Keenanisma
| Keenanisma
|-
|-
| 11
| [[4000/3993]]
| [[4000/3993]]
| {{Monzo| 5 -1 3 0 -3 }}
| {{Monzo| 5 -1 3 0 -3 }}