Hemimage temperaments: Difference between revisions

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Line 10:

* ''[[Subfourth]]'' (+65536/64827) → [[Buzzardsmic clan #Subfourth|Buzzardsmic clan]]

* [[Magic]] (+225/224 or 245/243) → [[Magic family #Magic|Magic family]]

* ''[[Echidna]]'' (+1728/1715 or 2048/2025) → [[~~Diaschismic family~~ #Echidna|~~Diaschismic family~~]]

* ''[[Echidna]]'' (+1728/1715 or 2048/2025) → [[Stearnsmic clan #Echidna|Stearnsmic clan]]

* ''[[Pluto]]'' (+4000/3969) → [[Octagar temperaments #Pluto|Octagar temperaments]]

* ''[[Unicorn]]'' (+126/125) → [[Unicorn family #Septimal unicorn|Unicorn family]]

* ''[[Hendecatonic (temperament)|Hendecatonic]]'' (+6144/6125) → [[Porwell temperaments #Hendecatonic|Porwell temperaments]]

* ''[[Dodecacot]]'' (+3125/3087) → [[Tetracot family #Dodecacot|Tetracot family]]

* [[Parakleismic]] (+3136/3125 or 4375/4374) → [[~~Ragismic microtemperaments~~ #Parakleismic|~~Ragismic microtemperaments~~]]

* [[Parakleismic]] (+3136/3125 or 4375/4374) → [[Parakleismic family #Parakleismic|Parakleismic family]]

* ''[[Chromat]]'' (+235298/234375) → [[Amity family #Chromat|Amity family]]

* ''[[Marfifths]]'' (+15625/15552) → [[Kleismic family #Marfifths|Kleismic family]]

Line 47:

Comma list: 385/384, 3388/3375, 9801/9800

~~Mapping:~~ {{~~mapping~~| 2 1 6 1 8 | 0 8 -5 17 -4 }}

Optimal tunings:

Line 82:

Comma list: 441/440, 3388/3375, 8019/8000

~~Mapping:~~ {{~~mapping~~| 2 3 4 5 6 | 0 5 19 18 27 }}

Optimal tunings:

Line 97:

Comma list: 196/195, 352/351, 729/728, 1001/1000

~~Mapping:~~ {{~~mapping~~| 2 3 4 5 6 7 | 0 5 19 18 27 12 }}

Optimal tunings:

Line 112:

Comma list: 170/169, 196/195, 289/288, 352/351, 561/560

~~Mapping:~~ {{~~mapping~~| 2 3 4 5 6 7 8 | 0 5 19 18 27 12 5 }}

Optimal tunings:

Line 156:

Comma list: 1331/1323, 1375/1372, 2200/2187

~~Mapping:~~ {{~~mapping~~| 20 0 -17 -39 -26 | 0 1 2 3 3 }}

Optimal tunings:

Line 171:

Comma list: 325/324, 352/351, 1001/1000, 1331/1323

~~Mapping:~~ {{~~mapping~~| 20 0 -17 -39 -26 74 | 0 1 2 3 3 0 }}

Optimal tunings:

Line 186:

Comma list: 289/288, 325/324, 352/351, 561/560, 1001/1000

~~Mapping:~~ {{~~mapping~~| 20 0 -17 -39 -26 74 50 | 0 1 2 3 3 0 1 }}

Optimal tunings:

Line 201:

Comma list: 286/285, 289/288, 325/324, 352/351, 400/399, 476/475

~~Mapping:~~ {{~~mapping~~| 20 0 -17 -39 -26 74 50 85 | 0 1 2 3 3 0 1 0 }}

{{Mapping|legend=0| 20 0 -17 -39 -26 74 50 85 | 0 1 2 3 3 0 1 0 }}

Optimal tunings:

Line 216:

Comma list: 253/252, 286/285, 289/288, 325/324, 352/351, 391/390, 400/399

~~Mapping:~~ {{~~mapping~~| 20 0 -17 -39 -26 74 50 85 27 | 0 1 2 3 3 0 1 0 2 }}

{{Mapping|legend=0| 20 0 -17 -39 -26 74 50 85 27 | 0 1 2 3 3 0 1 0 2 }}

Optimal tunings:

Line 231:

Comma list: 253/252, 286/285, 289/288, 325/324, 352/351, 391/390, 400/399, 406/405

~~Mapping:~~ {{~~mapping~~| 20 0 -17 -39 -26 74 50 85 27 2 | 0 1 2 3 3 0 1 0 2 3 }}

{{Mapping|legend=0| 20 0 -17 -39 -26 74 50 85 27 2 | 0 1 2 3 3 0 1 0 2 3 }}

Optimal tunings:

Line 267:

Comma list: 3025/3024, 5632/5625, 10976/10935

~~Mapping:~~ {{~~mapping~~| 1 -8 1 -20 -21 | 0 29 4 69 74 }}

Optimal tunings:

Line 301:

Comma list: 540/539, 896/891, 1331/1323

~~Mapping:~~ {{~~mapping~~| 1 0 -58 -21 -14 | 0 1 38 15 11 }}

Optimal tunings:

Line 316:

Comma list: 169/168, 352/351, 364/363, 540/539

~~Mapping:~~ {{~~mapping~~| 1 0 -58 -21 -14 -1 | 0 1 38 15 11 8 }}

Optimal tunings:

Line 326:

Badness (Sintel): 1.53

[[Category:Hemimage temperaments| ]]

[[Category:Temperament collections]]

[[Category:~~Hemimage temperaments| ]] <!~~-~~- main article -->~~

[[Category:Catalogs of rank-2 temperaments]]

~~[[Category:Rank~~ 2]]

@@ Line 10: / Line 10: @@
 * ''[[Subfourth]]'' (+65536/64827) → [[Buzzardsmic clan #Subfourth|Buzzardsmic clan]]
 * [[Magic]] (+225/224 or 245/243) → [[Magic family #Magic|Magic family]]
-* ''[[Echidna]]'' (+1728/1715 or 2048/2025) → [[Diaschismic family #Echidna|Diaschismic family]]
+* ''[[Echidna]]'' (+1728/1715 or 2048/2025) → [[Stearnsmic clan #Echidna|Stearnsmic clan]]
 * ''[[Pluto]]'' (+4000/3969) → [[Octagar temperaments #Pluto|Octagar temperaments]]
 * ''[[Unicorn]]'' (+126/125) → [[Unicorn family #Septimal unicorn|Unicorn family]]
 * ''[[Hendecatonic (temperament)|Hendecatonic]]'' (+6144/6125) → [[Porwell temperaments #Hendecatonic|Porwell temperaments]]
 * ''[[Dodecacot]]'' (+3125/3087) → [[Tetracot family #Dodecacot|Tetracot family]]
-* [[Parakleismic]] (+3136/3125 or 4375/4374) → [[Ragismic microtemperaments #Parakleismic|Ragismic microtemperaments]]
+* [[Parakleismic]] (+3136/3125 or 4375/4374) → [[Parakleismic family #Parakleismic|Parakleismic family]]
 * ''[[Chromat]]'' (+235298/234375) → [[Amity family #Chromat|Amity family]]
 * ''[[Marfifths]]'' (+15625/15552) → [[Kleismic family #Marfifths|Kleismic family]]
@@ Line 47: / Line 47: @@
 Comma list: 385/384, 3388/3375, 9801/9800
-Mapping: {{mapping| 2 1 6 1 8 | 0 8 -5 17 -4 }}
+{{Mapping|legend=0| 2 1 6 1 8 | 0 8 -5 17 -4 }}
 Optimal tunings:
@@ Line 82: / Line 82: @@
 Comma list: 441/440, 3388/3375, 8019/8000
-Mapping: {{mapping| 2 3 4 5 6 | 0 5 19 18 27 }}
+{{Mapping|legend=0| 2 3 4 5 6 | 0 5 19 18 27 }}
 Optimal tunings:
@@ Line 97: / Line 97: @@
 Comma list: 196/195, 352/351, 729/728, 1001/1000
-Mapping: {{mapping| 2 3 4 5 6 7 | 0 5 19 18 27 12 }}
+{{Mapping|legend=0| 2 3 4 5 6 7 | 0 5 19 18 27 12 }}
 Optimal tunings:
@@ Line 112: / Line 112: @@
 Comma list: 170/169, 196/195, 289/288, 352/351, 561/560
-Mapping: {{mapping| 2 3 4 5 6 7 8 | 0 5 19 18 27 12 5 }}
+{{Mapping|legend=0| 2 3 4 5 6 7 8 | 0 5 19 18 27 12 5 }}
 Optimal tunings:
@@ Line 156: / Line 156: @@
 Comma list: 1331/1323, 1375/1372, 2200/2187
-Mapping: {{mapping| 20 0 -17 -39 -26 | 0 1 2 3 3 }}
+{{Mapping|legend=0| 20 0 -17 -39 -26 | 0 1 2 3 3 }}
 Optimal tunings:
@@ Line 171: / Line 171: @@
 Comma list: 325/324, 352/351, 1001/1000, 1331/1323
-Mapping: {{mapping| 20 0 -17 -39 -26 74 | 0 1 2 3 3 0 }}
+{{Mapping|legend=0| 20 0 -17 -39 -26 74 | 0 1 2 3 3 0 }}
 Optimal tunings:
@@ Line 186: / Line 186: @@
 Comma list: 289/288, 325/324, 352/351, 561/560, 1001/1000
-Mapping: {{mapping| 20 0 -17 -39 -26 74 50 | 0 1 2 3 3 0 1 }}
+{{Mapping|legend=0| 20 0 -17 -39 -26 74 50 | 0 1 2 3 3 0 1 }}
 Optimal tunings:
@@ Line 201: / Line 201: @@
 Comma list: 286/285, 289/288, 325/324, 352/351, 400/399, 476/475
-Mapping: {{mapping| 20 0 -17 -39 -26 74 50 85 | 0 1 2 3 3 0 1 0 }}
+{{Mapping|legend=0| 20 0 -17 -39 -26 74 50 85 | 0 1 2 3 3 0 1 0 }}
 Optimal tunings:
@@ Line 216: / Line 216: @@
 Comma list: 253/252, 286/285, 289/288, 325/324, 352/351, 391/390, 400/399
-Mapping: {{mapping| 20 0 -17 -39 -26 74 50 85 27 | 0 1 2 3 3 0 1 0 2 }}
+{{Mapping|legend=0| 20 0 -17 -39 -26 74 50 85 27 | 0 1 2 3 3 0 1 0 2 }}
 Optimal tunings:
@@ Line 231: / Line 231: @@
 Comma list: 253/252, 286/285, 289/288, 325/324, 352/351, 391/390, 400/399, 406/405
-Mapping: {{mapping| 20 0 -17 -39 -26 74 50 85 27 2 | 0 1 2 3 3 0 1 0 2 3 }}
+{{Mapping|legend=0| 20 0 -17 -39 -26 74 50 85 27 2 | 0 1 2 3 3 0 1 0 2 3 }}
 Optimal tunings:
@@ Line 267: / Line 267: @@
 Comma list: 3025/3024, 5632/5625, 10976/10935
-Mapping: {{mapping| 1 -8 1 -20 -21 | 0 29 4 69 74 }}
+{{Mapping|legend=0| 1 -8 1 -20 -21 | 0 29 4 69 74 }}
 Optimal tunings:
@@ Line 301: / Line 301: @@
 Comma list: 540/539, 896/891, 1331/1323
-Mapping: {{mapping| 1 0 -58 -21 -14 | 0 1 38 15 11 }}
+{{Mapping|legend=0| 1 0 -58 -21 -14 | 0 1 38 15 11 }}
 Optimal tunings:
@@ Line 316: / Line 316: @@
 Comma list: 169/168, 352/351, 364/363, 540/539
-Mapping: {{mapping| 1 0 -58 -21 -14 -1 | 0 1 38 15 11 8 }}
+{{Mapping|legend=0| 1 0 -58 -21 -14 -1 | 0 1 38 15 11 8 }}
 Optimal tunings:
@@ Line 326: / Line 326: @@
 Badness (Sintel): 1.53
+[[Category:Hemimage temperaments| ]] <!-- main article -->
 [[Category:Temperament collections]]
-[[Category:Hemimage temperaments| ]] <!-- main article -->
+[[Category:Catalogs of rank-2 temperaments]]
-[[Category:Rank 2]]