Mintaka: Difference between revisions

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=== Add 4 and 5 ===
=== Add 4 and 5 ===
For tunings of the generator that possess a sharp 9/7 (sharper than 1/3 comma), it is reasonable to combine this temperament with BPS, and additionally temper out [[245/243]], thereby equating [[5/3]] to 81/49 at 6 generators up. This is ''mintra'' temperament, which splits the BPS generator in three. With the inclusion of 20 in the subgroup above, [[4/3]] would therefore also appear, at the position of (20/9)/(5/3), 14 generators down.
For tunings of the generator that possess a sharp 9/7 (sharper than 1/3 comma), it is reasonable to combine this temperament with [[BPS]], and additionally temper out [[245/243]], thereby equating [[5/3]] to 81/49 at 6 generators up. This is ''mintra'' temperament, which splits the BPS generator in three. With the inclusion of 20 in the subgroup above, [[4/3]] would therefore also appear, at the position of (20/9)/(5/3), 14 generators down.


If we combine all of the above, using the sharper representation of 5 and 19, we find the complete 3.4.5.7.11.19.23 temperament with commas [[100/99]], [[133/132]], 253/252, 484/483, and 540/539.
If we combine all of the above, using the sharper representation of 5 and 19, we find the complete 3.4.5.7.11.19.23 temperament with commas [[100/99]], [[133/132]], 253/252, 484/483, and 540/539.