41edo: Difference between revisions

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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 d7-M2 gamut, approximates the 12 note temperament 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 familiar. 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.

=== [[Arabic, Turkish, Persian~~|Middle Eastern]] ===~~

=== Middle Eastern ===

While the [[Hemif|Hemif[7]]] scale itself and MODMOSes related to it give the middle eastern sound well, 41 has other interesting properties that make it an ideal system for Arabic and Turkish music. It is considered a Level 2 EDO due to the fact that it has ~~two~~ neutral seconds ~~(a smaller one for [[Bayati]]~~ and ~~a larger one for Turkish Rast)~~ and a Pythagorean skeleton, with small semitones as minor seconds and major whole tones as major seconds. The ~~"large neutral~~ third" is great for Turkish Rast as it is sharp enough to sound close to a [[5/4]], while ~~a smaller~~ neutral third exists ~~that is~~ half of a [[3/2]] and works well for Arabic Rast and some Persian scales. Additionally, a large [[apotome]] exists for the Hicaz maqam.

While the [[Hemif|Hemif[7]]] scale itself and MODMOSes related to it give the middle eastern sound well, 41 has other interesting properties that make it an ideal system for Arabic and Turkish music. It is considered a "Level 2 EDO" due to the fact that it has neutral seconds and thirds as well as submajor and supraminor ones added to a Pythagorean skeleton, with small semitones as minor seconds and major whole tones as major seconds. The submajor third is great for Turkish Rast as it is sharp enough to sound close to a [[5/4]], while the neutral third exists as half of a [[3/2]] and works well for Arabic Rast and some Persian scales. Additionally, a large [[apotome]] exists for the Hicaz maqam.

=== Indonesian ===

@@ Line 1,908: / Line 1,908: @@
 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 d7-M2 gamut, approximates the 12 note temperament 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 familiar. 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.
-=== [[Arabic, Turkish, Persian|Middle Eastern]] ===
+=== Middle Eastern ===
-While the [[Hemif|Hemif[7]]] scale itself and MODMOSes related to it give the middle eastern sound well, 41 has other interesting properties that make it an ideal system for Arabic and Turkish music. It is considered a Level 2 EDO due to the fact that it has two neutral seconds (a smaller one for [[Bayati]] and a larger one for Turkish Rast) and a Pythagorean skeleton, with small semitones as minor seconds and major whole tones as major seconds. The "large neutral third" is great for Turkish Rast as it is sharp enough to sound close to a [[5/4]], while a smaller neutral third exists that is half of a [[3/2]] and works well for Arabic Rast and some Persian scales. Additionally, a large [[apotome]] exists for the Hicaz maqam.
+{{See also| Arabic, Turkish, Persian }}
+While the [[Hemif|Hemif[7]]] scale itself and MODMOSes related to it give the middle eastern sound well, 41 has other interesting properties that make it an ideal system for Arabic and Turkish music. It is considered a "Level 2 EDO" due to the fact that it has neutral seconds and thirds as well as submajor and supraminor ones added to a Pythagorean skeleton, with small semitones as minor seconds and major whole tones as major seconds. The submajor third is great for Turkish Rast as it is sharp enough to sound close to a [[5/4]], while the neutral third exists as half of a [[3/2]] and works well for Arabic Rast and some Persian scales. Additionally, a large [[apotome]] exists for the Hicaz maqam.
 === Indonesian ===