Equal-step tuning: Difference between revisions

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== Alpha-beta-gamma family ==
== Alpha-beta-gamma family ==
Wendy Carlos invented in the 1980's the Alpha, Beta, and Gamma scales. These are scales that divides 3/2 with steps very near to the successive superparticular complementary pair folding in 3/2, namely 6/5 and 5/4. The happy equal divisions are 9ed3/2, 11ed3/2, and 20ed3/2. However, these scales belong to a much vaster family, where also applies the same principle of divisions of a ratio with steps very near to the successive superparticular complementary pair folding into it. Below is a table showing a segment of this family:
Wendy Carlos invented in the 1980's the Alpha, Beta, and Gamma scales. These are scales that divides 3/2 with steps very near to the successive superparticular complementary pair folding in 3/2, namely 6/5 and 5/4. The happy equal divisions are 9ed3/2, 11ed3/2, and 20ed3/2. However, these scales belong to a much vaster family, where also applies the same principle of divisions of a ratio with steps very near to the successive superparticular complementary pair folding into it. Below is a table showing the first members of this family:
{| class="wikitable"
{| class="wikitable"
|+The Alpha-Beta-Gamma family
|+The Alpha-Beta-Gamma family