TallKite
Joined 19 September 2018
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In evaluating my work on Alpharabian tuning, you asked if one can work backwards from my interval names, and if there a formula or an algorithm for that. So, I've decided to try and answer the question. After going through the list of names, and reevaluating the names in my system, yes, there 'is' a set of rules for how the names of the intervals in Alpharabian tuning are derived. However, there appears to be some modifications to my system that are required, and I will attempt to make some of them here. | In evaluating my work on Alpharabian tuning, you asked if one can work backwards from my interval names, and if there a formula or an algorithm for that. So, I've decided to try and answer the question. After going through the list of names, and reevaluating the names in my system, yes, there 'is' a set of rules for how the names of the intervals in Alpharabian tuning are derived. However, there appears to be some modifications to my system that are required, and I will attempt to make some of them here. | ||
* Intervals that are either in the 2.11 subgroup, as well as intervals that are derived from Pythagorean intervals by either 33/32, 1331/1296 or 1089/1024, are all considered "Alpharabian"- this is a hard and fast rule that takes precedence over other rules. | * Intervals that are either in the 2.11 subgroup, as well as intervals that are derived from Pythagorean intervals by a single instance of either 33/32, 1331/1296 or 1089/1024, are all considered "Alpharabian"- this is a hard and fast rule that takes precedence over other rules. | ||
* 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- this is another hard rule and fast rule. | * 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- this is another hard rule and fast rule. | ||
* Generally, intervals that result from the modification of a Pythagorean interval by 33/32 take either the 'parasuper' or 'parasub' prefixes, however, there are a number of special cases... | * Generally, intervals that result from the modification of a Pythagorean interval by 33/32 take either the 'parasuper' or 'parasub' prefixes, however, there are a number of special cases... | ||