Diachrome: Difference between revisions

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== Structure ==

=== Lattice ===

5sC has two chains of "fifths" (the 7-step 3L + m + 3s) both having 6 notes and offset by 3L + m + 2s. The interval L + s is thus reached by stacking two fifths and reducing, and m is reached by stacking -5 fifths and reducing. The three leftmost notes of the lower chain (the one not offset by 3L + m + 2s) are joined to the three rightmost notes of the upper chain by 2L + m. 5sL (resp. 5sR) similarly has two chains of fifths, but the lower chain has 7 (resp. 5) notes and the upper chain 5 (resp. 7) notes.

5sC has two chains of "fifths" (the 7-step 3L + m + 3s) both having 6 notes and offset by 3L + m + 2s. The interval L + s is thus reached by stacking two fifths and reducing, and m is reached by stacking -5 fifths and reducing. The three leftmost notes of the lower chain (the one not offset by 3L + m + 2s) are joined to the three rightmost notes of the upper chain by 2L + s. 5sL (resp. 5sR) similarly has two chains of fifths, but the lower chain has 7 (resp. 5) notes and the upper chain 5 (resp. 7) notes.

=== As substitution scale ===

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=== Pele temperament ===

In the [[pele]] ~~tempeament~~ ([41 & 46 & 58]), following interpretations are available:

In the [[pele]] temperament ([41 & 46 & 58]), following interpretations are available:

* L = 10/9, m = 21/20~22/21~256/243, s = 56/55~64/63~66/65~81/80;

* L = 11/10, m = 21/20~22/21~256/243, s = 40/39~45/44~50/49;

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 == Structure ==
 === Lattice ===
-sC has two chains of "fifths" (the 7-step 3L + m + 3s) both having 6 notes and offset by 3L + m + 2s. The interval L + s is thus reached by stacking two fifths and reducing, and m is reached by stacking -5 fifths and reducing. The three leftmost notes of the lower chain (the one not offset by 3L + m + 2s) are joined to the three rightmost notes of the upper chain by 2L + m. 5sL (resp. 5sR) similarly has two chains of fifths, but the lower chain has 7 (resp. 5) notes and the upper chain 5 (resp. 7) notes.
+sC has two chains of "fifths" (the 7-step 3L + m + 3s) both having 6 notes and offset by 3L + m + 2s. The interval L + s is thus reached by stacking two fifths and reducing, and m is reached by stacking -5 fifths and reducing. The three leftmost notes of the lower chain (the one not offset by 3L + m + 2s) are joined to the three rightmost notes of the upper chain by 2L + s. 5sL (resp. 5sR) similarly has two chains of fifths, but the lower chain has 7 (resp. 5) notes and the upper chain 5 (resp. 7) notes.
 === As substitution scale ===
@@ Line 87: / Line 87: @@
 === Pele temperament ===
-In the [[pele]] tempeament ([41 & 46 & 58]), following interpretations are available:
+In the [[pele]] temperament ([41 & 46 & 58]), following interpretations are available:
 * L = 10/9, m = 21/20~22/21~256/243, s = 56/55~64/63~66/65~81/80;
 * L = 11/10, m = 21/20~22/21~256/243, s = 40/39~45/44~50/49;