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.
 == Temperaments ==
-ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, the approxmiations of 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. The tempered 4:5:6 chords in meantone become stretched to the point where they are tempered 3:4:5 chords.
+ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is nearly identical to meantone but with all intervals stretched by about 26%, such that 2/1 becomes 12/5, 3/2 becomes 5/3, and 5/4 becomes 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord.