41edo: Difference between revisions

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=== Western ===

Due to 41edo's extremely accurate perfect fifth, it makes a good tuning for schismatic temperament, which is a good approximation of the standard [[12edo]] scale, and when arranged as a Bbb-D gamut, approximates the 12 note [[Pythagorean tuning]] known as [[Kirnberger I]]. This extends the Ptolemy Diatonic Scale ('''7 6 4 7 6 7 4'''), which 41 approximates excellently, by completing the circle of fifths with pure 3/2s. By using this system and occasionally substituting in alternate major seconds and sixths when necessary, it becomes quite reminiscent of 12edo harmony. Additionally, the Pythagorean Pentatonic scale can be used for melodies overtop due to the strong quartal nature of the scale. The Pythagorean diatonic scale exists as an option as well, but use may be limited unless [[Gentle chords|Gentle triads]] are ideal.

Due to 41edo's extremely accurate perfect fifth, it makes a good tuning for schismatic temperament, which is a good approximation of the standard [[12edo]] scale, and when arranged as a Bbb-D gamut, approximates the 12 note [[Pythagorean tuning]] known as [[Kirnberger I]]. This extends the Ptolemy Diatonic Scale ('''7 6 4 7 6 7 4'''), which 41 approximates excellently, by completing the circle of fifths with pure 3/2s. By using this system and occasionally substituting in alternate major seconds and sixths when necessary, it becomes quite reminiscent of (and improves on) 12edo harmony. Additionally, the Pythagorean Pentatonic scale can be used for melodies overtop due to the strong quartal nature of the scale. The Pythagorean diatonic scale exists as an option as well, but use may be limited unless [[Gentle chords|Gentle triads]] are ideal.

=== Middle Eastern ===

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 === Western ===
-Due to 41edo's extremely accurate perfect fifth, it makes a good tuning for schismatic temperament, which is a good approximation of the standard [[12edo]] scale, and when arranged as a Bbb-D gamut, approximates the 12 note [[Pythagorean tuning]] known as [[Kirnberger I]]. This extends the Ptolemy Diatonic Scale ('''7 6 4 7 6 7 4'''), which 41 approximates excellently, by completing the circle of fifths with pure 3/2s. By using this system and occasionally substituting in alternate major seconds and sixths when necessary, it becomes quite reminiscent of 12edo harmony. Additionally, the Pythagorean Pentatonic scale can be used for melodies overtop due to the strong quartal nature of the scale. The Pythagorean diatonic scale exists as an option as well, but use may be limited unless [[Gentle chords|Gentle triads]] are ideal.
+Due to 41edo's extremely accurate perfect fifth, it makes a good tuning for schismatic temperament, which is a good approximation of the standard [[12edo]] scale, and when arranged as a Bbb-D gamut, approximates the 12 note [[Pythagorean tuning]] known as [[Kirnberger I]]. This extends the Ptolemy Diatonic Scale ('''7 6 4 7 6 7 4'''), which 41 approximates excellently, by completing the circle of fifths with pure 3/2s. By using this system and occasionally substituting in alternate major seconds and sixths when necessary, it becomes quite reminiscent of (and improves on) 12edo harmony. Additionally, the Pythagorean Pentatonic scale can be used for melodies overtop due to the strong quartal nature of the scale. The Pythagorean diatonic scale exists as an option as well, but use may be limited unless [[Gentle chords|Gentle triads]] are ideal.
 === Middle Eastern ===