5ed5/4: Difference between revisions
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Tags: Mobile edit Mobile web edit |
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===Tertia=== | ===Tertia=== | ||
Aside from 2100875/2097152, tertia temperament tempers out 385/384, 1331/1323, and 1375/1372 in the 11-limit. It can be described as the 31&140 temperament, and the step interval of 5ED5/4 (tuned between 256/245 and | Aside from 2100875/2097152, tertia temperament tempers out 385/384, 1331/1323, and 1375/1372 in the 11-limit. It can be described as the 31&140 temperament, and the step interval of 5ED5/4 (tuned between 256/245 and 68/65) can serve as its generator. In the 17-limit, it tempers out 352/351, 385/384, 561/560, 625/624, and 715/714. | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | generator | ! | generator | ||
! | cents value<br>(octave-reduced) | ! | cents value <sup>a</sup><br>(octave-reduced) | ||
! | 11-limit ratio<br>(octave-reduced) | ! | 11-limit ratio<br>(octave-reduced) | ||
|- | |- | ||
| | 1 | | | 1 | ||
| | 77.2 | | | 77.2 | ||
| | 256/245 | | | 117/112, 256/245, 68/65 | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 154.3 | | | 154.3 | ||
| | '''[[12/11]]''', [[35/32]] | | | '''[[12/11]]''', 130/119, [[35/32]] | ||
|- | |- | ||
| | 3 | | | 3 | ||
| Line 811: | Line 811: | ||
| | 4 | | | 4 | ||
| | 308.6 | | | 308.6 | ||
| | | | | 117/98, 140/117 | ||
|- | |- | ||
| | 5 | | | 5 | ||
| Line 819: | Line 819: | ||
| | 6 | | | 6 | ||
| | 463.0 | | | 463.0 | ||
| | | | | '''[[17/13]]''' | ||
|- | |- | ||
| | 7 | | | 7 | ||
| Line 855: | Line 855: | ||
| | 15 | | | 15 | ||
| | 1157.4 | | | 1157.4 | ||
| | | | | 39/20 | ||
|- | |- | ||
| | 16 | | | 16 | ||
| | 34.6 | | | 34.6 | ||
| | [[50/49]], [[49/48]] | | | 52/51, 51/50, [[50/49]], [[49/48]] | ||
|- | |- | ||
| | 17 | | | 17 | ||
| Line 943: | Line 943: | ||
| | 37 | | | 37 | ||
| | 455.0 | | | 455.0 | ||
| | | | | '''[[13/10]]''' | ||
|- | |- | ||
| | 38 | | | 38 | ||
| Line 967: | Line 967: | ||
| | 43 | | | 43 | ||
| | 918.0 | | | 918.0 | ||
| | | | | '''[[17/10]]''' | ||
|- | |- | ||
| | 44 | | | 44 | ||
| Line 999: | Line 999: | ||
| | 51 | | | 51 | ||
| | 335.3 | | | 335.3 | ||
| | | | | '''[[17/14]]''' | ||
|- | |- | ||
| | 52 | | | 52 | ||
| Line 1,253: | Line 1,253: | ||
| | 34/27 | | | 34/27 | ||
|} | |} | ||
<sup>a</sup> in 17-limit POTE tuning | |||
[[Category:5/4]] | [[Category:5/4]] | ||
[[Category:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||