Slendric: Difference between revisions
m made some edits to the scales section but I must emphasize that this is actually **really good** by the standards of temperament pages and a lot more will benefit from such a thorough treatment of scales |
added octaves and unisons to the slendric[21] section |
||
| Line 165: | Line 165: | ||
=== Alternate way of organizing intervals === | === Alternate way of organizing intervals === | ||
Instead of organizing the intervals according to larger and larger MOSes (none of which are proper until at least 26 notes), the intervals of slendric can be organized according to how many steps of [[5edo|5edo]], or equivalently the 5-note MOS, they correspond to. The "major" interval of a class is the one that's just larger than the corresponding 5edo interval, and the "minor" interval is just smaller. | Instead of organizing the intervals according to larger and larger MOSes (none of which are proper until at least 26 notes), the intervals of slendric can be organized according to how many steps of [[5edo|5edo]], or equivalently the 5-note MOS, they correspond to. The "major" interval of a class is the one that's just larger than the corresponding 5edo interval, and the "minor" interval is just smaller. Below are the intervals of Slendric[21] ([[5L 16s]]). | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Steps of 5edo | | Steps of 5edo | ||
| 0 | |||
| 1 | | 1 | ||
| 2 | | 2 | ||
| 3 | | 3 | ||
| 4 | | 4 | ||
| 5 | |||
|- | |- | ||
| "Augmented" interval | | "Augmented" interval | ||
| 63.12 | |||
| 296.81 | | 296.81 | ||
| 530.50 | | 530.50 | ||
| 764.19 | | 764.19 | ||
| 997.88 | | 997.88 | ||
| | |||
|- | |- | ||
| JI intervals represented | | JI intervals represented | ||
| 28/27 | |||
| 32/27 | | 32/27 | ||
| 49/36 | | 49/36 | ||
| 14/9 | | 14/9 | ||
| 16/9 | | 16/9 | ||
| | |||
|- | |- | ||
| "Major" interval | | "Major" interval | ||
| 31.56 | |||
| 265.25 | | 265.25 | ||
| 498.94 | | 498.94 | ||
| 732.63 | | 732.63 | ||
| 966.31 | | 966.31 | ||
| 1200.00 | |||
|- | |- | ||
| JI intervals represented | | JI intervals represented | ||
| 49/48, 64/63 | |||
| 7/6 | | 7/6 | ||
| 4/3 | | 4/3 | ||
| 32/21, 49/32 | | 32/21, 49/32 | ||
| 7/4 | | 7/4 | ||
| 2/1 | |||
|- | |- | ||
| "Minor" interval | | "Minor" interval | ||
| 0.00 | |||
| 233.69 | | 233.69 | ||
| 467.37 | | 467.37 | ||
| 701.06 | | 701.06 | ||
| 934.75 | | 934.75 | ||
| 1168.44 | |||
|- | |- | ||
| JI intervals represented | | JI intervals represented | ||
| 1/1 | |||
| 8/7 | | 8/7 | ||
| 21/16 | | 21/16 | ||
| 3/2 | | 3/2 | ||
| 12/7 | | 12/7 | ||
| 63/32, 96/49 | |||
|- | |- | ||
| "Diminished" interval | | "Diminished" interval | ||
| | |||
| 202.12 | | 202.12 | ||
| 435.81 | | 435.81 | ||
| 669.50 | | 669.50 | ||
| 903.19 | | 903.19 | ||
| 1136.88 | |||
|- | |- | ||
| JI intervals represented | | JI intervals represented | ||
| | |||
| 9/8 | | 9/8 | ||
| 9/7 | | 9/7 | ||
| 72/49 | | 72/49 | ||
| 27/16 | | 27/16 | ||
| 27/14 | |||
|} | |} | ||