Tour of regular temperaments: Difference between revisions

Line 613:

: These temper out the [[pentacircle comma]], {{monzo| 7 -4 0 1 -1 }} (896/891). The interval between 11/8 and 7/4 is equated to 81/64. Since that is a 3-limit interval, every 2.3.11 interval is equated to a 2.3.7 interval and vice versa, and both the pergen and the lattice are identical to that of either 2.3.7 JI or 2.3.11 JI. In the pergen, ^1 is either ~64/63 or ~33/32 or ~729/704. Its color name is Saluzoti.

; [[~~Moctdel~~ clan]]

; [[Moctdelismic clan]]

: These temper out the [[~~moctdel comma~~]], {{monzo| -2 0 3 -3 1 }} (1375/1372). To be a rank-3 temperament, either an additional comma must vanish or the prime subgroup must omit prime 3. Thus no assumptions can be made about the pergen. Its color name is Lotriruyoti.

: These temper out the [[moctdelisma]], {{monzo| -2 0 3 -3 1 }} (1375/1372). To be a rank-3 temperament, either an additional comma must vanish or the prime subgroup must omit prime 3. Thus no assumptions can be made about the pergen. Its color name is Lotriruyoti.

; [[Semicanousmic clan]] (P8, P5, ^1)

@@ Line 613: / Line 613: @@
 : These temper out the [[pentacircle comma]], {{monzo| 7 -4 0 1 -1 }} (896/891). The interval between 11/8 and 7/4 is equated to 81/64. Since that is a 3-limit interval, every 2.3.11 interval is equated to a 2.3.7 interval and vice versa, and both the pergen and the lattice are identical to that of either 2.3.7 JI or 2.3.11 JI. In the pergen, ^1 is either ~64/63 or ~33/32 or ~729/704. Its color name is Saluzoti.
-; [[Moctdel clan]]
+; [[Moctdelismic clan]]
-: These temper out the [[moctdel comma]], {{monzo| -2 0 3 -3 1 }} (1375/1372). To be a rank-3 temperament, either an additional comma must vanish or the prime subgroup must omit prime 3. Thus no assumptions can be made about the pergen. Its color name is Lotriruyoti.
+: These temper out the [[moctdelisma]], {{monzo| -2 0 3 -3 1 }} (1375/1372). To be a rank-3 temperament, either an additional comma must vanish or the prime subgroup must omit prime 3. Thus no assumptions can be made about the pergen. Its color name is Lotriruyoti.
 ; [[Semicanousmic clan]] (P8, P5, ^1)