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, this temperament is | 12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of the meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. | ||
Revision as of 01:56, 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, this temperament is very close to a version of the meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord.