1015edo: Difference between revisions

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1015edo is [[consistent]] in the [[5-odd-limit]], ~~where~~ it ~~tunes~~ [[quintosec]]. It also tunes the 2.3.5.11 subgroup natural extension for quintosec tempering out 5632/5625 and 26214400/26198073, despite not being consistent. The patent val also tempers out 3025/3024 and tunes the [[ganesha]] temperament in the 11-limit.

1015edo is only [[consistent]] in the [[5-odd-limit]]. As an equal temperament, it tempers out the [[quintosec comma]], [[support]]ing [[5-limit]] [[quintosec]]. It also tunes the [[2.3.5.11 subgroup|2.3.5.11-subgroup]] natural [[extension]] for quintosec tempering out [[5632/5625]] and 26214400/26198073, despite not being consistent in the corresponding odd limit. The [[patent val]] also tempers out [[3025/3024]] and tunes the [[ganesha]] temperament in the 11-limit.

Aside from the patent val, there are a number of other mappings to be considered. For example, 1015edo is an excellent 2.5/3.9/7.13 subgroup tuning. 1015d val tunes [[supermajor]].

Aside from the patent val, there are a number of other mappings to be considered. For example, 1015edo is an excellent 2.5/3.9/7.13 subgroup tuning. 1015d val tunes [[supermajor (temperament)|supermajor]].

=== Odd harmonics ===

=== Subsets and supersets ===

Since 1015 factors as {{~~Factorization~~|~~1015~~}}, 1015edo has subset edos {{EDOs|1, 5, 7, 29, 35, 145, 203}}.

Since 1015 factors into primes as {{nowrap| 5 × 7 × 29 }}, 1015edo has subset edos {{EDOs| 5, 7, 29, 35, 145, and 203 }}.

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 {{ED intro}}
-edo is [[consistent]] in the [[5-odd-limit]], where it tunes [[quintosec]]. It also tunes the 2.3.5.11 subgroup natural extension for quintosec tempering out 5632/5625 and 26214400/26198073, despite not being consistent. The patent val also tempers out 3025/3024 and tunes the [[ganesha]] temperament in the 11-limit.
+edo is only [[consistent]] in the [[5-odd-limit]]. As an equal temperament, it tempers out the [[quintosec comma]], [[support]]ing [[5-limit]] [[quintosec]]. It also tunes the [[2.3.5.11 subgroup|2.3.5.11-subgroup]] natural [[extension]] for quintosec tempering out [[5632/5625]] and 26214400/26198073, despite not being consistent in the corresponding odd limit. The [[patent val]] also tempers out [[3025/3024]] and tunes the [[ganesha]] temperament in the 11-limit.
-Aside from the patent val, there are a number of other mappings to be considered. For example, 1015edo is an excellent 2.5/3.9/7.13 subgroup tuning. 1015d val tunes [[supermajor]].
+Aside from the patent val, there are a number of other mappings to be considered. For example, 1015edo is an excellent 2.5/3.9/7.13 subgroup tuning. 1015d val tunes [[supermajor (temperament)|supermajor]].
 === Odd harmonics ===
-{{harmonics in equal|1015}}
+{{Harmonics in equal|1015}}
 === Subsets and supersets ===
-Since 1015 factors as {{Factorization|1015}}, 1015edo has subset edos {{EDOs|1, 5, 7, 29, 35, 145, 203}}.
+Since 1015 factors into primes as {{nowrap| 5 × 7 × 29 }}, 1015edo has subset edos {{EDOs| 5, 7, 29, 35, 145, and 203 }}.