4096/4095: Difference between revisions

Line 12:

By tempering it out is defined the '''schisminic temperament''', which enables the '''schisminic chords''', the essentially tempered chords in the 21-odd-limit. You may find a list of good equal temperaments that support this temperament below.

Subgroup: 2.3.5.7.11.13

[[Subgroup]]: 2.3.5.7.11.13

[[Mapping]]:

[~~{{val~~| 1 0 0 0 0 12 }}, ~~ ~~

{| class="right-all"

~~{{val~~| 0 1 0 0 0 -2 }}, ~~ ~~

|-

~~{{val~~| 0 0 1 0 0 -1 }}, ~~ ~~

| [⟨ || 1 || 0 || 0 || 0 || 0 || 12 || ],

~~{{val~~| 0 0 0 1 0 -1 }}, ~~ ~~

|-

~~{{val~~| 0 0 0 0 1 0 }}]

| ⟨ || 0 || 1 || 0 || 0 || 0 || -2 || ],

|-

| ⟨ || 0 || 0 || 1 || 0 || 0 || -1 || ],

|-

| ⟨ || 0 || 0 || 0 || 1 || 0 || -1 || ],

|-

| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || ]]

|}

~~Mapping~~ generators: ~2, ~3, ~5, ~7, ~11

: mapping generators: ~2, ~3, ~5, ~7, ~11

{{Optimal ET sequence|legend=1| 22, 31, 41, 46, 53, 77, 84, 87, 118, 130, 183, 217, 224, 270, 494, 764, 935, 1012, 1236, 1506, 3236, 3323, 3817, 5323f, 9140cdef, 14463bcddeefff, 17786bccddeeefff }}

@@ Line 12: / Line 12: @@
 By tempering it out is defined the '''schisminic temperament''', which enables the '''schisminic chords''', the essentially tempered chords in the 21-odd-limit. You may find a list of good equal temperaments that support this temperament below.
-Subgroup: 2.3.5.7.11.13
+[[Subgroup]]: 2.3.5.7.11.13
 [[Mapping]]: <br>
-[{{val| 1 0 0 0 0 12 }}, <br>
+{| class="right-all"
-{{val| 0 1 0 0 0 -2 }}, <br>
+|-
-{{val| 0 0 1 0 0 -1 }}, <br>
+| [⟨ || 1 || 0 || 0 || 0 || 0 || 12 || ],
-{{val| 0 0 0 1 0 -1 }}, <br>
+|-
-{{val| 0 0 0 0 1 0 }}]
+| ⟨ || 0 || 1 || 0 || 0 || 0 || -2 || ],
+|-
+| ⟨ || 0 || 0 || 1 || 0 || 0 || -1 || ],
+|-
+| ⟨ || 0 || 0 || 0 || 1 || 0 || -1 || ],
+|-
+| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || ]]
+|}
-Mapping generators: ~2, ~3, ~5, ~7, ~11
+: mapping generators: ~2, ~3, ~5, ~7, ~11
 {{Optimal ET sequence|legend=1| 22, 31, 41, 46, 53, 77, 84, 87, 118, 130, 183, 217, 224, 270, 494, 764, 935, 1012, 1236, 1506, 3236, 3323, 3817, 5323f, 9140cdef, 14463bcddeefff, 17786bccddeeefff }}