1ed33/32: Difference between revisions
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== Theory == | == Theory == | ||
{{Harmonics in equal|1|33|32|columns=11|intervals=prime}} | {{Harmonics in equal|1|33|32|columns=11|intervals=prime}} | ||
In this tuning, 2 steps correspond to the parapotome [[1089/1024]] | In this tuning, 2 steps by definition correspond to the parapotome [[1089/1024]]. | ||
Intervals with excellent approximation in this tuning are: 7/6 (5), 20/13 (14), 18/11 (16). Other intervals with good approximation are: 6/5, 7/5, 9/5, 13/7, 13/9, 11/10, 19/12, 17/16, 17/15, 16/15. | Intervals with excellent approximation in this tuning are: 7/6 (5), 20/13 (14), 18/11 (16). Other intervals with good approximation are: 6/5, 7/5, 9/5, 13/7, 13/9, 11/10, 19/12, 17/16, 17/15, 16/15. | ||
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In the 5-limit, 33/32 equal step tuning tempers out the syntonic comma 81/80. | In the 5-limit, 33/32 equal step tuning tempers out the syntonic comma 81/80. | ||
== Regular temperament | In the 7-limit, as a consequence of representing 6/5 and 7/6 well, it's great at representing the 5:6:7 otonal tetrad. | ||
== Regular temperament properties == | |||
"Normal" subgroups calculated using the 23edo val that matches 33/32 equal step tuning patent val. | "Normal" subgroups calculated using the 23edo val that matches 33/32 equal step tuning patent val. | ||
{| class="wikitable" | {| class="wikitable" | ||