25edo: Difference between revisions
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If 5/4 and 7/4 aren't good enough, it also does 17/16 and 19/16, just like 12EDO. In fact, on the [[k*N_subgroups|2*25 subgroup]] 2.9.5.7.33.39.17.19 it provides the same tuning and tempers out the same commas as 50et, which makes for a wide range of harmony. | If 5/4 and 7/4 aren't good enough, it also does 17/16 and 19/16, just like 12EDO. In fact, on the [[k*N_subgroups|2*25 subgroup]] 2.9.5.7.33.39.17.19 it provides the same tuning and tempers out the same commas as 50et, which makes for a wide range of harmony. | ||
== Intervals == | == Intervals == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |- | ||
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== Relationship to Armodue == | == Relationship to Armodue == | ||
Like [[16edo|16-EDO]] and [[23edo|23-EDO]], 25-EDO contains the 9-note "Superdiatonic" scale of [[7L_2s|7L2s]] (LLLsLLLLs) that is generated by a circle of heavily-flattened 3/2s (ranging in size from 5\9-EDO or 666.67 cents, to 4\7-EDO or 685.71 cents). The 25-EDO generator for this scale is the 672-cent interval. This allows 25-EDO to be used with the [[Armodue_theory|Armodue]] notation system in much the same way that [[19edo|19-EDO]] is used with the standard diatonic notation; see the above interval chart for the Armodue names. Because the 25-EDO Armodue 6th is flatter than that of 16-EDO (the middle of the Armodue spectrum), sharps are lower in pitch than enharmonic flats. | Like [[16edo|16-EDO]] and [[23edo|23-EDO]], 25-EDO contains the 9-note "Superdiatonic" scale of [[7L_2s|7L2s]] (LLLsLLLLs) that is generated by a circle of heavily-flattened 3/2s (ranging in size from 5\9-EDO or 666.67 cents, to 4\7-EDO or 685.71 cents). The 25-EDO generator for this scale is the 672-cent interval. This allows 25-EDO to be used with the [[Armodue_theory|Armodue]] notation system in much the same way that [[19edo|19-EDO]] is used with the standard diatonic notation; see the above interval chart for the Armodue names. Because the 25-EDO Armodue 6th is flatter than that of 16-EDO (the middle of the Armodue spectrum), sharps are lower in pitch than enharmonic flats. | ||
== Commas == | == Commas == | ||
25 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 25 40 58 70 86 93 }}.) | 25 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 25 40 58 70 86 93 }}.) | ||
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== A 25edo keyboard == | == A 25edo keyboard == | ||
[[File:mm25.PNG|alt=mm25.PNG|mm25.PNG]] | [[File:mm25.PNG|alt=mm25.PNG|mm25.PNG]] | ||
== Music == | == Music == | ||
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Rapoport/StudyInFives.mp3 Study in Fives] by [http://en.wikipedia.org/wiki/Paul_Rapoport_%28music_critic%29 Paul Rapoport] | * [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Rapoport/StudyInFives.mp3 Study in Fives] by [http://en.wikipedia.org/wiki/Paul_Rapoport_%28music_critic%29 Paul Rapoport] | ||
* [http://chrisvaisvil.com/?p=2377 Fantasy for Piano in 25 Note per Octave Tuning] ''[http://micro.soonlabel.com/25edo/fantasy_for_piano_in_25_edo.mp3 play]'' by [[Chris Vaisvil]] | * [http://chrisvaisvil.com/?p=2377 Fantasy for Piano in 25 Note per Octave Tuning] ''[http://micro.soonlabel.com/25edo/fantasy_for_piano_in_25_edo.mp3 play]'' by [[Chris Vaisvil]] | ||
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* [[:File:25_edo_prelude_largo.mid]] by Peter Kosmorsky (2011, Blackwood) | * [[:File:25_edo_prelude_largo.mid]] by Peter Kosmorsky (2011, Blackwood) | ||
[[Category:25edo]] | [[Category:25edo| ]] <!-- main article --> | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | ||
[[Category:Keyboard]] | [[Category:Keyboard]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||
[[Category:Subgroup]] | [[Category:Subgroup]] | ||
[[Category:Twentuning]] | [[Category:Twentuning]] | ||