User:Dummy index/Just odd intonation: Difference between revisions

@@ Line 1: / Line 1: @@
-Widening or narrowing P8 first.
+Tempering the P8 first.
 ==JO meantone==
-===(3/2,5/4)===
+Subgroup: 2.3.5
+[[Comma list]]: 81/80
+===eigenmonzos: 3/2, 5/4 "greedy"===
 *P5 = M3 + 2*P8
+Octave stretch: +10.8 cents (1/2 of syntonic comma)
 {| class="wikitable"
 ! Cents
@@ Line 43: / Line 49: @@
-===(3/1,5/1)===
+===eigenmonzos: 3/1, 5/1 "1/4-comma 3eantone"===
-*P12 = M17 + 2*P8
+*P12 = M17 + 4*P8
+Octave stretch: +5.4 cents (1/4 of syntonic comma)
 {| class="wikitable"
 ! Cents
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-===(3/1,5/4)===
+===eigenmonzos: 3/1, 5/4 "1/6-comma 3eantone"===
 *P12 = M3 + 6*P8
+Octave stretch: +3.6 cents (1/6 of syntonic comma)
 {| class="wikitable"
 ! Cents
@@ Line 124: / Line 134: @@
 |}
+In these, P8 and P5 are evenly tempered, because 3/1 is unchanged. This is also common in the [[EDT]] -EDO correspondences.
-==JO 7-limit meantone==
+See also [[User:Dummy_index/2-dimensional tuning spectrum]].
 ==JO schismatic==
+Subgroup: 2.3.5
+[[Comma list]]: 32805/32768
+eigenmonzos: 3/2, 5/4
+*P5 + M3 = 5*P8
+Octave stretch: +0.4 cents (1/5 of schisma)