9edo: Difference between revisions
No edit summary |
|||
| Line 25: | Line 25: | ||
9: 2/1 1200.000 octave | 9: 2/1 1200.000 octave | ||
Here the characterizations are taken from [http://en.wikipedia.org/wiki/Scala_%28program%29 Scala], which also describes the scale itself as "Pelog Nawanada: Sunda". Chords such as 1/1 - 7/6 - 49/36 - 12/7 | Here the characterizations are taken from [http://en.wikipedia.org/wiki/Scala_%28program%29 Scala], which also describes the scale itself as "Pelog Nawanada: Sunda". Chords such as 1/1 - 7/6 - 49/36 - 12/7 are therefore natural ones for 9EDO. The above scale generates the [[Just_intonation_subgroups|just intonation subgroup]] 2.27/25.7/3, which is closely related to 9EDO. | ||
=Notation= | =Notation= | ||
| Line 35: | Line 35: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | [[degree]] | ||
| style="text-align:center;" | [[cent | | style="text-align:center;" | [[cent]]s | ||
|pions | | pions | ||
| | | [[1536edo|7mu]]s | ||
| style="text-align:center;" | Approximate | | style="text-align:center;" | Approximate <br>Ratios | ||
| colspan="2" style="text-align:center;" | Major wider <br>than minor | |||
Ratios | | colspan="2" style="text-align:center;" | Major narrower <br>than minor | ||
| colspan="2" style="text-align:center;" | Major wider | |||
than minor | |||
| colspan="2" style="text-align:center;" | Major narrower | |||
than minor | |||
|- | |- | ||
| colspan="4" style="text-align:center;" | 0 | | colspan="4" style="text-align:center;" | 0 | ||
| Line 58: | Line 52: | ||
| style="text-align:center;" | 1 | | style="text-align:center;" | 1 | ||
| style="text-align:center;" | 133 | | style="text-align:center;" | 133 | ||
|141 | | 141 | ||
|171 (AB<sub>16</sub>) | | 171 (AB<sub>16</sub>) | ||
| style="text-align:center;" | 13/12, 12/11 | | style="text-align:center;" | 14/13, 13/12, 12/11 | ||
| style="text-align:center;" | minor 2nd | | style="text-align:center;" | minor 2nd | ||
| style="text-align:center;" | E | | style="text-align:center;" | E | ||
| Line 68: | Line 62: | ||
| style="text-align:center;" | 2 | | style="text-align:center;" | 2 | ||
| style="text-align:center;" | 267 | | style="text-align:center;" | 267 | ||
|283 | | 283 | ||
|341 (155<sub>16</sub>) | | 341 (155<sub>16</sub>) | ||
| style="text-align:center;" | 7/6 | | style="text-align:center;" | 7/6 | ||
| style="text-align:center;" | major 2nd, minor 3rd | | style="text-align:center;" | major 2nd, minor 3rd | ||
| Line 78: | Line 72: | ||
| style="text-align:center;" | 3 | | style="text-align:center;" | 3 | ||
| style="text-align:center;" | 400 | | style="text-align:center;" | 400 | ||
|424 | | 424 | ||
|512 (200<sub>16</sub>) | | 512 (200<sub>16</sub>) | ||
| style="text-align:center;" | 5/4, 9/7 | | style="text-align:center;" | 5/4, 14/11, 9/7 | ||
| style="text-align:center;" | major 3rd | | style="text-align:center;" | major 3rd | ||
| style="text-align:center;" | F | | style="text-align:center;" | F | ||
| Line 88: | Line 82: | ||
| style="text-align:center;" | 4 | | style="text-align:center;" | 4 | ||
| style="text-align:center;" | 533 | | style="text-align:center;" | 533 | ||
|565 | | 565 | ||
|683 (2AB<sub>16</sub>) | | 683 (2AB<sub>16</sub>) | ||
| style="text-align:center;" | 4/3, 11/8 | | style="text-align:center;" | 4/3, 11/8 | ||
| style="text-align:center;" | perfect 4th | | style="text-align:center;" | perfect 4th | ||
| Line 98: | Line 92: | ||
| style="text-align:center;" | 5 | | style="text-align:center;" | 5 | ||
| style="text-align:center;" | 667 | | style="text-align:center;" | 667 | ||
|707 | | 707 | ||
|853 (355<sub>16</sub>) | | 853 (355<sub>16</sub>) | ||
| style="text-align:center;" | 16/11, 3/2 | | style="text-align:center;" | 16/11, 3/2 | ||
| style="text-align:center;" | perfect 5th | | style="text-align:center;" | perfect 5th | ||
| Line 108: | Line 102: | ||
| style="text-align:center;" | 6 | | style="text-align:center;" | 6 | ||
| style="text-align:center;" | 800 | | style="text-align:center;" | 800 | ||
|848 | | 848 | ||
|1024 (400<sub>16</sub>) | | 1024 (400<sub>16</sub>) | ||
| style="text-align:center;" | 14/9, 8/5 | | style="text-align:center;" | 14/9, 11/7, 8/5 | ||
| style="text-align:center;" | minor 6th | | style="text-align:center;" | minor 6th | ||
| style="text-align:center;" | B | | style="text-align:center;" | B | ||
| Line 118: | Line 112: | ||
| style="text-align:center;" | 7 | | style="text-align:center;" | 7 | ||
| style="text-align:center;" | 933 | | style="text-align:center;" | 933 | ||
|989 | | 989 | ||
|1195 (4AB<sub>16</sub>) | | 1195 (4AB<sub>16</sub>) | ||
| style="text-align:center;" | 12/7 | | style="text-align:center;" | 12/7 | ||
| style="text-align:center;" | major 6th, minor 7th | | style="text-align:center;" | major 6th, minor 7th | ||
| Line 128: | Line 122: | ||
| style="text-align:center;" | 8 | | style="text-align:center;" | 8 | ||
| style="text-align:center;" | 1067 | | style="text-align:center;" | 1067 | ||
|1131 | | 1131 | ||
|1365 (555<sub>16</sub>) | | 1365 (555<sub>16</sub>) | ||
| style="text-align:center;" | 11/6, | | style="text-align:center;" | 11/6, 13/7 | ||
| style="text-align:center;" | major 7th | | style="text-align:center;" | major 7th | ||
| style="text-align:center;" | C | | style="text-align:center;" | C | ||
| Line 138: | Line 132: | ||
| style="text-align:center;" | 9 | | style="text-align:center;" | 9 | ||
| style="text-align:center;" | 1200 | | style="text-align:center;" | 1200 | ||
|1272 | | 1272 | ||
|1536 (600<sub>16</sub>) | | 1536 (600<sub>16</sub>) | ||
| style="text-align:center;" | 2/1 | | style="text-align:center;" | 2/1 | ||
| style="text-align:center;" | octave | | style="text-align:center;" | octave | ||
| Line 168: | Line 162: | ||
! | Name 2 | ! | Name 2 | ||
! | Name 3 | ! | Name 3 | ||
|- | |||
| style="text-align:center;" | 27/25 | |||
| |<nowiki> | 0 3 -2 </nowiki>> | |||
| style="text-align:right;" | 133.24 | |||
| style="text-align:center;" | Large Limma | |||
| style="text-align:center;" | Large Semitone | |||
| | Bug Comma | |||
|- | |- | ||
| style="text-align:center;" | 135/128 | | style="text-align:center;" | 135/128 | ||