User:Unque: Difference between revisions

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While 15edo does not provide accurate representations of the harmonic series, it does provide extremely useful melodic frameworks. The [[5L 5s|Blackwood Decatonic scale]], for instance, contains several copies of [[Nicetone]] over each degree, allowing for diatonic-like chord progressions to move smoothly between keys that may seem unrelated in systems with a more accurate chain of fifths.

Additionally, it can be noted that if one makes an [[Delta-rational chord|Isodifferential ~~chord~~]] with an interval of 400c (the familiar major third from 12edo) between the bottom two pitches, this chord will have a "fifth" which very closely resembles the "fifth" of 5edo. Thus, we can assume that a tuning which contains 3edo and 5edo as subsets has a close approximation of this chord. This can be seen as an alternative way to "fix" the lack of harmonic effect in the 12edo major triad, which detunes the fifth rather than the third.

Additionally, it can be noted that if one makes an [[Delta-rational chord|Isodifferential]] triad with an interval of 400c (the familiar major third from 12edo) between the bottom two pitches, this chord will have a "fifth" which very closely resembles the "fifth" of 5edo. Thus, we can assume that a tuning which contains 3edo and 5edo as subsets has a close approximation of this chord. This can be seen as an alternative way to "fix" the lack of harmonic effect in the 12edo major triad, which detunes the fifth rather than the third.

=== [[30edt]] ===

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 While 15edo does not provide accurate representations of the harmonic series, it does provide extremely useful melodic frameworks.  The [[5L 5s|Blackwood Decatonic scale]], for instance, contains several copies of [[Nicetone]] over each degree, allowing for diatonic-like chord progressions to move smoothly between keys that may seem unrelated in systems with a more accurate chain of fifths.
-Additionally, it can be noted that if one makes an [[Delta-rational chord|Isodifferential chord]] with an interval of 400c (the familiar major third from 12edo) between the bottom two pitches, this chord will have a "fifth" which very closely resembles the "fifth" of 5edo.  Thus, we can assume that a tuning which contains 3edo and 5edo as subsets has a close approximation of this chord.  This can be seen as an alternative way to "fix" the lack of harmonic effect in the 12edo major triad, which detunes the fifth rather than the third.
+Additionally, it can be noted that if one makes an [[Delta-rational chord|Isodifferential]] triad with an interval of 400c (the familiar major third from 12edo) between the bottom two pitches, this chord will have a "fifth" which very closely resembles the "fifth" of 5edo.  Thus, we can assume that a tuning which contains 3edo and 5edo as subsets has a close approximation of this chord.  This can be seen as an alternative way to "fix" the lack of harmonic effect in the 12edo major triad, which detunes the fifth rather than the third.
 === [[30edt]] ===