User:Unque: Difference between revisions

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Additionally, and perhaps more convincingly for practical composers, 41edo maps the perfect fifth to 24 steps. Just like with the perfect fourth of 29edo, this highly divisible interval allows for many useful melodic structures, including (but not limited to) [[Rastmic clan|Neutral]], [[Slendric]], [[Tetracot]], and [[Miracle]].

=== [[43edo]] ===

By the size of 43edo, even rank-2 thinking is rather difficult for conceptualizing how the system fits together. However, 43edo can very intuitively be taken as a Septimal Meantone system with 45/44~56/55~100/99 as a secondary chroma to provide access to 11-limit intervals. Because the chromatic semitone of the diatonic scale is three of these undecimal chromata, any interval in the system can be notated with no more than one accidental of each kind.

This threefold division of the chroma additionally allows the wholetone to be altered into a down-wholetone such that three of them make a perfect fourth instead of an augmented one; the structure begat by these down-wholetones resembles [[Porcupine]] in its form, but does not contain the classical minor third.

Finally, 43edo offers a rather accurate tuning of [[Bleu]], the temperament which cleaves the perfect fifth into five parts; two of these parts reaches 7/6, three reach 14/11, and four reach 11/8.

== Music ==

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 Additionally, and perhaps more convincingly for practical composers, 41edo maps the perfect fifth to 24 steps.  Just like with the perfect fourth of 29edo, this highly divisible interval allows for many useful melodic structures, including (but not limited to) [[Rastmic clan|Neutral]], [[Slendric]], [[Tetracot]], and [[Miracle]].
+=== [[43edo]] ===
+By the size of 43edo, even rank-2 thinking is rather difficult for conceptualizing how the system fits together.  However, 43edo can very intuitively be taken as a Septimal Meantone system with 45/44~56/55~100/99 as a secondary chroma to provide access to 11-limit intervals.  Because the chromatic semitone of the diatonic scale is three of these undecimal chromata, any interval in the system can be notated with no more than one accidental of each kind.
+This threefold division of the chroma additionally allows the wholetone to be altered into a down-wholetone such that three of them make a perfect fourth instead of an augmented one; the structure begat by these down-wholetones resembles [[Porcupine]] in its form, but does not contain the classical minor third.
+Finally, 43edo offers a rather accurate tuning of [[Bleu]], the temperament which cleaves the perfect fifth into five parts; two of these parts reaches 7/6, three reach 14/11, and four reach 11/8.
 == Music ==