Sensamagic clan: Difference between revisions

(2 intermediate revisions by the same user not shown)

Line 13:

[[Comma list]]: 245/243

: mapping generators: ~3, ~9/7

Line 29:

The full 7-limit extensions' relation to BPS is clearer if the mapping is normalized in terms of 3.5.7.2. In fact, the strong extensions are sensi, cohemiripple, hedgehog, and fourfives.

These temperaments are distributed into different family pages.

These temperaments are distributed into different family and clan pages.

* [[Sensi]] (+126/125) → [[Sensipent family #Sensi|Sensipent family]]

* ''[[Hedgehog]]'' (+50/49) → [[~~Porcupine family~~ #Hedgehog|~~Porcupine family~~]]

* ''[[Hedgehog]]'' (+50/49) → [[Stearnsmic clan #Hedgehog|Stearnsmic clan]]

* ''[[Cohemiripple]]'' (+1323/1250) → [[Ripple family #Cohemiripple|Ripple family]]

* ''[[Fourfives]]'' (+235298/234375) → [[Fifive family #Fourfives|Fifive family]]

Line 93:

Comma list: 100/99, 245/243, 1344/1331

~~Mapping:~~ {{~~mapping~~| 1 0 0 0 2 | 0 13 19 23 12 }}

Optimal tunings:

Line 112:

Comma list: 100/99, 144/143, 196/195, 275/273

~~Mapping:~~ {{~~mapping~~| 1 0 0 0 2 2 | 0 13 19 23 12 14 }}

Optimal tunings:

Line 133:

Comma list: 245/243, 1331/1323, 3125/3087

~~Mapping:~~ {{~~mapping~~| 1 0 0 0 0 | 0 39 57 69 85 }}

: mapping generators: ~2, ~77/75

Line 149:

Comma list: 245/243, 275/273, 847/845, 1331/1323

~~Mapping:~~ {{~~mapping~~| 1 0 0 0 0 0 | 0 39 57 69 85 91 }}

Optimal tunings:

Line 233:

Comma list: 176/175, 245/243, 1331/1323

~~Mapping:~~ {{~~mapping~~| 1 -2 2 -6 -6 | 0 11 1 27 29 }}

Optimal tunings:

Line 248:

Comma list: 91/90, 176/175, 245/243, 1331/1323

~~Mapping:~~ {{~~mapping~~| 1 -2 2 -6 -6 5 | 0 11 1 27 29 -4 }}

Optimal tunings:

Line 283:

Comma list: 245/243, 2560/2541, 3773/3750

~~Mapping:~~ {{~~mapping~~| 19 0 14 -7 96 | 0 1 1 2 -1 }}

Optimal tunings:

Line 298:

Comma list: 196/195, 245/243, 832/825, 1001/1000

~~Mapping:~~ {{~~mapping~~| 19 0 14 -7 96 10 | 0 1 1 2 -1 2 }}

Optimal tunings:

Line 333:

Comma list: 100/99, 245/243, 78125/76832

~~Mapping:~~ {{~~mapping~~| 1 -5 -5 -10 2 | 0 18 20 35 4 }}

Optimal tunings:

Line 348:

Comma list: 100/99, 144/143, 196/195, 1375/1352

~~Mapping:~~ {{~~mapping~~| 1 -5 -5 -10 2 -8 | 0 18 20 35 4 32 }}

Optimal tunings:

Line 385:

Comma list: 245/243, 385/384, 1331/1323

~~Mapping:~~ {{~~mapping~~| 1 0 42 -21 -14 | 0 1 -25 15 11 }}

Optimal tunings:

Line 400:

Comma list: 169/168, 245/243, 352/351, 364/363

~~Mapping:~~ {{~~mapping~~| 1 0 42 -21 -14 -9 | 0 1 -25 15 11 8 }}

Optimal tunings:

Line 415:

Comma list: 154/153, 169/168, 245/243, 256/255, 273/272

~~Mapping:~~ {{~~mapping~~| 1 0 42 -21 -14 -9 -34 | 0 1 -25 15 11 8 24 }}

{{Mapping|legend=0| 1 0 42 -21 -14 -9 -34 | 0 1 -25 15 11 8 24 }}

Optimal tunings:

Line 430:

Comma list: 136/135, 169/168, 221/220, 245/243, 364/363

~~Mapping:~~ {{~~mapping~~| 1 0 42 -21 -14 -9 39 | 0 1 -25 15 11 8 -22 }}

{{Mapping|legend=0| 1 0 42 -21 -14 -9 39 | 0 1 -25 15 11 8 -22 }}

Optimal tunings:

@@ Line 13: / Line 13: @@
 [[Comma list]]: 245/243
-{{Mapping|legend=2| 1 1 2 | 0 2 -1 }}
+{{Mapping|legend=3| 1 1 2 | 0 2 -1 }}
 : mapping generators: ~3, ~9/7
@@ Line 29: / Line 29: @@
 The full 7-limit extensions' relation to BPS is clearer if the mapping is normalized in terms of 3.5.7.2. In fact, the strong extensions are sensi, cohemiripple, hedgehog, and fourfives.
-These temperaments are distributed into different family pages.
+These temperaments are distributed into different family and clan pages.
 * [[Sensi]] (+126/125) → [[Sensipent family #Sensi|Sensipent family]]
-* ''[[Hedgehog]]'' (+50/49) → [[Porcupine family #Hedgehog|Porcupine family]]
+* ''[[Hedgehog]]'' (+50/49) → [[Stearnsmic clan #Hedgehog|Stearnsmic clan]]
 * ''[[Cohemiripple]]'' (+1323/1250) → [[Ripple family #Cohemiripple|Ripple family]]
 * ''[[Fourfives]]'' (+235298/234375) → [[Fifive family #Fourfives|Fifive family]]
@@ Line 93: / Line 93: @@
 Comma list: 100/99, 245/243, 1344/1331
-Mapping: {{mapping| 1 0 0 0 2 | 0 13 19 23 12 }}
+{{Mapping|legend=0| 1 0 0 0 2 | 0 13 19 23 12 }}
 Optimal tunings:
@@ Line 112: / Line 112: @@
 Comma list: 100/99, 144/143, 196/195, 275/273
-Mapping: {{mapping| 1 0 0 0 2 2 | 0 13 19 23 12 14 }}
+{{Mapping|legend=0| 1 0 0 0 2 2 | 0 13 19 23 12 14 }}
 Optimal tunings:
@@ Line 133: / Line 133: @@
 Comma list: 245/243, 1331/1323, 3125/3087
-Mapping: {{mapping| 1 0 0 0 0 | 0 39 57 69 85 }}
+{{Mapping|legend=0| 1 0 0 0 0 | 0 39 57 69 85 }}
 : mapping generators: ~2, ~77/75
@@ Line 149: / Line 149: @@
 Comma list: 245/243, 275/273, 847/845, 1331/1323
-Mapping: {{mapping| 1 0 0 0 0 0 | 0 39 57 69 85 91 }}
+{{Mapping|legend=0| 1 0 0 0 0 0 | 0 39 57 69 85 91 }}
 Optimal tunings:
@@ Line 233: / Line 233: @@
 Comma list: 176/175, 245/243, 1331/1323
-Mapping: {{mapping| 1 -2 2 -6 -6 | 0 11 1 27 29 }}
+{{Mapping|legend=0| 1 -2 2 -6 -6 | 0 11 1 27 29 }}
 Optimal tunings:
@@ Line 248: / Line 248: @@
 Comma list: 91/90, 176/175, 245/243, 1331/1323
-Mapping: {{mapping| 1 -2 2 -6 -6 5 | 0 11 1 27 29 -4 }}
+{{Mapping|legend=0| 1 -2 2 -6 -6 5 | 0 11 1 27 29 -4 }}
 Optimal tunings:
@@ Line 283: / Line 283: @@
 Comma list: 245/243, 2560/2541, 3773/3750
-Mapping: {{mapping| 19 0 14 -7 96 | 0 1 1 2 -1 }}
+{{Mapping|legend=0| 19 0 14 -7 96 | 0 1 1 2 -1 }}
 Optimal tunings:
@@ Line 298: / Line 298: @@
 Comma list: 196/195, 245/243, 832/825, 1001/1000
-Mapping: {{mapping| 19 0 14 -7 96 10 | 0 1 1 2 -1 2 }}
+{{Mapping|legend=0| 19 0 14 -7 96 10 | 0 1 1 2 -1 2 }}
 Optimal tunings:
@@ Line 333: / Line 333: @@
 Comma list: 100/99, 245/243, 78125/76832
-Mapping: {{mapping| 1 -5 -5 -10 2 | 0 18 20 35 4 }}
+{{Mapping|legend=0| 1 -5 -5 -10 2 | 0 18 20 35 4 }}
 Optimal tunings:
@@ Line 348: / Line 348: @@
 Comma list: 100/99, 144/143, 196/195, 1375/1352
-Mapping: {{mapping| 1 -5 -5 -10 2 -8 | 0 18 20 35 4 32 }}
+{{Mapping|legend=0| 1 -5 -5 -10 2 -8 | 0 18 20 35 4 32 }}
 Optimal tunings:
@@ Line 385: / Line 385: @@
 Comma list: 245/243, 385/384, 1331/1323
-Mapping: {{mapping| 1 0 42 -21 -14 | 0 1 -25 15 11 }}
+{{Mapping|legend=0| 1 0 42 -21 -14 | 0 1 -25 15 11 }}
 Optimal tunings:
@@ Line 400: / Line 400: @@
 Comma list: 169/168, 245/243, 352/351, 364/363
-Mapping: {{mapping| 1 0 42 -21 -14 -9 | 0 1 -25 15 11 8 }}
+{{Mapping|legend=0| 1 0 42 -21 -14 -9 | 0 1 -25 15 11 8 }}
 Optimal tunings:
@@ Line 415: / Line 415: @@
 Comma list: 154/153, 169/168, 245/243, 256/255, 273/272
-Mapping: {{mapping| 1 0 42 -21 -14 -9 -34 | 0 1 -25 15 11 8 24 }}
+{{Mapping|legend=0| 1 0 42 -21 -14 -9 -34 | 0 1 -25 15 11 8 24 }}
 Optimal tunings:
@@ Line 430: / Line 430: @@
 Comma list: 136/135, 169/168, 221/220, 245/243, 364/363
-Mapping: {{mapping| 1 0 42 -21 -14 -9 39 | 0 1 -25 15 11 8 -22 }}
+{{Mapping|legend=0| 1 0 42 -21 -14 -9 39 | 0 1 -25 15 11 8 -22 }}
 Optimal tunings: