12ed12/5: Difference between revisions
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'''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5|classic minor tenth (12/5)]] into a number of [[equal]] steps. | '''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5|classic minor tenth (12/5)]] into a number of [[equal]] steps. | ||
== Temperaments == | == Temperaments == | ||
12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, the 12/5, 5/3, and 4/3 in this temperament are very close to stretched 2/1, 3/2, and 5/4, so the ETs supported by macro-meantone are mostly identical to those that support meantone, but with the equave as 12/5 instead of 2/1 (so 12ed12/5, 19ed12/5, etc. instead of 12edo, 19edo, etc.). | 12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, the 12/5, 5/3, and 4/3 in this temperament are very close to stretched 2/1, 3/2, and 5/4, so the ETs supported by macro-meantone are mostly identical to those that support meantone, but with the equave as 12/5 instead of 2/1 (so 12ed12/5, 19ed12/5, etc. instead of 12edo, 19edo, etc.). Even the MOS scales like 5L 2s are the same. | ||
Revision as of 01:52, 23 May 2023
| ← 11ed12/5 | 12ed12/5 | 13ed12/5 → |
12 equal divisions of 12/5 (12ed12/5) is the tuning system that divides the classic minor tenth (12/5) into a number of equal steps.
Temperaments
12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, the 12/5, 5/3, and 4/3 in this temperament are very close to stretched 2/1, 3/2, and 5/4, so the ETs supported by macro-meantone are mostly identical to those that support meantone, but with the equave as 12/5 instead of 2/1 (so 12ed12/5, 19ed12/5, etc. instead of 12edo, 19edo, etc.). Even the MOS scales like 5L 2s are the same.