Alphatricot family: Difference between revisions

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 The generator for '''tricot temperament''' is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&amp;70 temperament, tempering out the [[Tricot|tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit. There are some mappings for 7-limit extension of this temperament: trimot (53&amp;70), trident (53&amp;229) and trillium (53&amp;441). Tempering out [[5120/5103|hemifamity comma]] (5120/5103) leads trimot (supported by 53edo and 70edo), [[6144/6125|porwell comma]] (6144/6125) leads trident (supported by 53, 176, and 229 edos), and [[4375/4374|ragisma]] (4375/4374) leads trillium (supported by 53, 441, 494, 935, and 1429 edos).
-== Tricot ==
+= Tricot =
 Comma: {{monzo | 39 -29 3 }} = 68719476736000/68630377364883
@@ Line 14: / Line 14: @@
 Badness: 0.0461
-== Trimot (53&amp;70) ==
+= Trimot (53&amp;70) =
 Commas: 2430/2401, 5120/5103
@@ Line 27: / Line 27: @@
 Badness: 0.1001
-=== 11-limit ===
+== 11-limit ==
 Commas: 99/98, 121/120, 5120/5103
@@ Line 38: / Line 38: @@
 Badness: 0.0561
-=== 13-limit ===
+== 13-limit ==
 Commas: 99/98, 121/120, 169/168, 352/351
@@ Line 49: / Line 49: @@
 Badness: 0.0321
-== Trident (53&amp;229) ==
+= Trident (53&amp;229) =
 Commas: 6144/6125, 14348907/14336000
@@ Line 62: / Line 62: @@
 Badness: 0.1017
-=== 11-limit ===
+== 11-limit ==
 Commas: 3388/3375, 6144/6125, 8019/8000
@@ Line 73: / Line 73: @@
 Badness: 0.0743
-=== 13-limit ===
+== 13-limit ==
 Commas: 351/350, 2080/2079, 2197/2187, 3146/3125
@@ Line 84: / Line 84: @@
 Badness: 0.0466
-== Trillium (53&amp;441) ==
+= Trillium (53&amp;441) =
 Commas: 4375/4374, 1099511627776/1098337086315
@@ Line 97: / Line 97: @@
 Badness: 0.0309
-=== 11-limit ===
+== 11-limit ==
 Commas: 4375/4374, 131072/130977, 759375/758912
@@ Line 108: / Line 108: @@
 Badness: 0.0468
-=== 13-limit ===
+== 13-limit ==
 Commas: 2080/2079, 4096/4095, 4375/4374, 78125/78078
@@ Line 119: / Line 119: @@
 Badness: 0.0194
-=== Pseudotrillium (53&amp;388) ===
+== Pseudotrillium (53&amp;388) ==
 Commas: 4375/4374, 5632/5625, 4108797/4096000
@@ Line 130: / Line 130: @@
 Badness: 0.1119
-==== 13-limit ====
+=== 13-limit ===
 Commas: 847/845, 1001/1000, 4096/4095, 4375/4374
@@ Line 141: / Line 141: @@
 Badness: 0.0548
-== Tritricot (159&amp;282) ==
+= Tritricot (159&amp;282) =
 Commas: 250047/250000, 11785390260224/11767897353375
@@ Line 154: / Line 154: @@
 Badness: 0.0861
-=== 11-limit ===
+== 11-limit ==
 Commas: 4000/3993, 166698/166375, 200704/200475
@@ Line 165: / Line 165: @@
 Badness: 0.0740
-=== 13-limit ===
+== 13-limit ==
 Commas: 1575/1573, 2080/2079, 34398/34375, 43904/43875
@@ Line 176: / Line 176: @@
 Badness: 0.0356
-=== 17-limit ===
+== 17-limit ==
 Commas: 936/935, 1575/1573, 1701/1700, 2025/2023, 8624/8619