45edo: Difference between revisions

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Musically, this offers an explanation for why the 5 can blend so well into the 1:3:5:7:9 chord in both tunings: its deviation fits naturally into the pattern established by 3 and 9, while 7 closely follows 3. The chord takes on a strongly stretched character in 27edo and a strongly compressed character in 45edo.

~~For the utonal counterpart, 1/(9:7:5:3:1), that is, 1/9:1/7:1/5:1/3:1, the pitch errors reverse sign, and the effect reverses too: the utonal chord is compressed in 27edo and stretched in 45edo.~~

== Intervals ==

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The tuning [[equal tuning|183ed17]] may also be used, it improves 3/1, 5/1, 7/1, 11/1, 13/1 ''and'' 17/1 (with different mappings for many) but at the cost of a noticeably worse 2/1 than the others.

[[71edt]] is notable as an octave-stretched version of 45edo for having an extremely accurate 3/1, 5/1 and 11/1.

== Scales ==

@@ Line 26: / Line 26: @@
 Musically, this offers an explanation for why the 5 can blend so well into the 1:3:5:7:9 chord in both tunings: its deviation fits naturally into the pattern established by 3 and 9, while 7 closely follows 3. The chord takes on a strongly stretched character in 27edo and a strongly compressed character in 45edo.
-For the utonal counterpart, 1/(9:7:5:3:1), that is, 1/9:1/7:1/5:1/3:1, the pitch errors reverse sign, and the effect reverses too: the utonal chord is compressed in 27edo and stretched in 45edo.
 == Intervals ==
@@ Line 635: / Line 633: @@
 The tuning [[equal tuning|183ed17]] may also be used, it improves 3/1, 5/1, 7/1, 11/1, 13/1 ''and'' 17/1 (with different mappings for many) but at the cost of a noticeably worse 2/1 than the others.
+[[71edt]] is notable as an octave-stretched version of 45edo for having an extremely accurate 3/1, 5/1 and 11/1.
 == Scales ==

45edo: Difference between revisions

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