9edo: Difference between revisions
→Music: switched to wiki markup for unordered list, added some links |
m →Notation: precision 2 decimals (makes the 1/3 thing a bit more obvious) |
||
| Line 35: | Line 35: | ||
The second approach preserves the <u>harmonic</u> meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 9edo "on the fly". | The second approach preserves the <u>harmonic</u> meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 9edo "on the fly". | ||
{| class="wikitable center-all" | {| class="wikitable center-all right-1 right-2" | ||
! [[degree]] | ! [[degree]] | ||
! [[cent]]s | ! [[cent]]s | ||
| Line 43: | Line 43: | ||
|- | |- | ||
| 0 | | 0 | ||
| 0 | | 0.00 | ||
| 1/1 | | 1/1 | ||
| perfect unison | | perfect unison | ||
| Line 51: | Line 51: | ||
|- | |- | ||
| 1 | | 1 | ||
| 133 | | 133.33 | ||
| 14/13, 13/12, 12/11 | | 14/13, 13/12, 12/11 | ||
| minor 2nd | | minor 2nd | ||
| Line 59: | Line 59: | ||
|- | |- | ||
| 2 | | 2 | ||
| | | 266.67 | ||
| 7/6 | | 7/6 | ||
| major 2nd, minor 3rd | | major 2nd, minor 3rd | ||
| Line 67: | Line 67: | ||
|- | |- | ||
| 3 | | 3 | ||
| 400 | | 400.00 | ||
| 5/4, 14/11, 9/7 | | 5/4, 14/11, 9/7 | ||
| major 3rd | | major 3rd | ||
| Line 75: | Line 75: | ||
|- | |- | ||
| 4 | | 4 | ||
| 533 | | 533.33 | ||
| 4/3, 11/8 | | 4/3, 11/8 | ||
| perfect 4th | | perfect 4th | ||
| Line 83: | Line 83: | ||
|- | |- | ||
| 5 | | 5 | ||
| | | 666.67 | ||
| 16/11, 3/2 | | 16/11, 3/2 | ||
| perfect 5th | | perfect 5th | ||
| Line 91: | Line 91: | ||
|- | |- | ||
| 6 | | 6 | ||
| 800 | | 800.00 | ||
| 14/9, 11/7, 8/5 | | 14/9, 11/7, 8/5 | ||
| minor 6th | | minor 6th | ||
| Line 99: | Line 99: | ||
|- | |- | ||
| 7 | | 7 | ||
| 933 | | 933.33 | ||
| 12/7 | | 12/7 | ||
| major 6th, minor 7th | | major 6th, minor 7th | ||
| Line 107: | Line 107: | ||
|- | |- | ||
| 8 | | 8 | ||
| | | 1066.67 | ||
| 11/6, 13/7 | | 11/6, 13/7 | ||
| major 7th | | major 7th | ||
| Line 115: | Line 115: | ||
|- | |- | ||
| 9 | | 9 | ||
| 1200 | | 1200.00 | ||
| 2/1 | | 2/1 | ||
| octave | | octave | ||