12ed12/5: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''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. It is closely approximated by every second step of 19edo. | '''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. It is very closely approximated by every second step of [[19edo]]. | ||
== 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 very close to a version of 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. Even MOS patterns are similar to meantone. | 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 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. Even MOS patterns are similar to meantone. | ||
| Line 19: | Line 19: | ||
|126.303 | |126.303 | ||
|C#, Db | |C#, Db | ||
| | |[[27/25]] | ||
|- | |- | ||
|2 | |2 | ||
|252.607 | |252.607 | ||
|D | |D | ||
| | |125/108 | ||
|- | |- | ||
|3 | |3 | ||
| Line 44: | Line 44: | ||
|757.821 | |757.821 | ||
|F#, Gb | |F#, Gb | ||
| | |[[25/16]], 125/81, [[192/125]] | ||
|- | |- | ||
|7 | |7 | ||
| Line 64: | Line 64: | ||
|1263.034 | |1263.034 | ||
|A#, Bb | |A#, Bb | ||
| | |25/12 | ||
|- | |- | ||
|11 | |11 | ||
|1398.338 | |1398.338 | ||
|B | |B | ||
| | |20/9 | ||
|- | |- | ||
|12 | |12 | ||