User:Aura/Aura's Ideas on Tonality: Difference between revisions
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* Intervals that result from the modification of a Pythagorean interval by [[1089/1024]] are labeled similarly to those modified in the equivalent fashion by [[2187/2048]], the only difference being that modification by 1089/1024 results in an Alpharabian interval rather than a Pythagorean interval. | * Intervals that result from the modification of a Pythagorean interval by [[1089/1024]] are labeled similarly to those modified in the equivalent fashion by [[2187/2048]], the only difference being that modification by 1089/1024 results in an Alpharabian interval rather than a Pythagorean interval. | ||
* Since 1089/1024 is (33/32)^2, modifying a Pythagorean interval by [[33/32]] always results in an interval that is considered "Alpharabian". | * Since 1089/1024 is (33/32)^2, modifying a Pythagorean interval by [[33/32]] always results in an interval that is considered "Alpharabian". | ||
* As both the [[243/242|rastma]] and [[1331/1296]] are [[ | * As both the [[243/242|rastma]] and [[1331/1296]] are [[diatonic, chromatic, enharmonic, subchromatic|subchromas]] that form differences between members of the 2.11 subgroup and Pythagorean intervals, both of these subchromas belong to a set of intervals defining different interval sets within Alpharabian tuning, and subchromas within this particular interval set help define the differences between Pythagorean, Alpharabian and Betarabian intervals. | ||
The following rules are directly derived from the above premises: | The following rules are directly derived from the above premises: | ||
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== Delving into the 11-Limit: Betarabian Intervals and the Nexus Comma == | == Delving into the 11-Limit: Betarabian Intervals and the Nexus Comma == | ||
(Todo: rewrite this section based on further modification of the rules for defining subsets of Alpharabian tuning) | (Todo: rewrite this section based on further modification of the rules for defining subsets of Alpharabian tuning) | ||