Mint family: Difference between revisions

Line 8:

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

[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 698.6351{{c}}, ~5/4 = 404.2809{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1196.3575{{c}}, ~3/2 = 696.5144{{c}}, ~5/4 = 403.0537{{c}}

: [[error map]]: {{val| -3.643 -9.083 +9.455 +13.864 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 695.2474{{c}}, ~5/4 = 401.1263{{c}}

: error map: {{val| 0.000 -6.708 +14.813 +20.543 }}

{{Optimal ET sequence|legend=1| 4, 5, 7, 8d, 9, 12, 41cd, 53cdd }}

[[Badness]] (~~Smith~~): 0.~~0637 × 10-3~~

[[Badness]] (Sintel): 0.281

== Nickel ==

Line 22:

Line 28:

[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 688.8370{{c}}, ~5/4 = 391.8801{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1198.7814{{c}}, ~3/2 = 688.1375{{c}}, ~5/4 = 391.4822{{c}}

: [[error map]]: {{val| -1.219 -15.036 +2.731 +13.530 +14.002 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 687.9993{{c}}, ~5/4 = 391.2274{{c}}

: error map: {{val| 0.000 -13.956 +4.914 +15.945 +15.908 }}

[[Badness]] (~~Smith~~): 0.~~463 × 10-3~~

[[Badness]] (Sintel): 0.557

=== 13-limit ===

Line 35:

Line 46:

Mapping: {{mapping| 1 0 0 2 -2 -1 | 0 1 0 2 2 3 | 0 0 1 -1 1 0 }}

Optimal ~~tuning (~~POTE): ~2 = 1200.0000{{c}}, ~3/2 = 685.0048{{c}}, ~5/4 = 390.2563{{c}}

Optimal tunings:

* WE: ~2 = 1199.6174{{c}}, ~3/2 = 684.7864{{c}}, ~5/4 = 390.1319{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 684.7716{{c}}, ~5/4 = 390.0622{{c}}

Badness (~~Smith~~): 0.~~647 × 10-3~~

Badness (Sintel): 0.605

[[Category:Temperament families]]

@@ Line 8: / Line 8: @@
 {{Mapping|legend=1| 1 0 0 2 | 0 1 0 2 | 0 0 1 -1 }}
+: mapping generators: ~2, ~3, ~5
-[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 698.6351{{c}}, ~5/4 = 404.2809{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1196.3575{{c}}, ~3/2 = 696.5144{{c}}, ~5/4 = 403.0537{{c}}
+: [[error map]]: {{val| -3.643 -9.083 +9.455 +13.864 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 695.2474{{c}}, ~5/4 = 401.1263{{c}}
+: error map: {{val| 0.000 -6.708 +14.813 +20.543 }}
+<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 698.6351{{c}}, ~5/4 = 404.2809{{c}} -->
-{{Optimal ET sequence|legend=1| 4, 5, 7, 8d, 9, 12 }}
+{{Optimal ET sequence|legend=1| 4, 5, 7, 8d, 9, 12, 41cd, 53cdd }}
-[[Badness]] (Smith): 0.0637 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.281
 == Nickel ==
@@ Line 22: / Line 28: @@
 {{Mapping|legend=1| 1 0 0 2 -2 | 0 1 0 2 2 | 0 0 1 -1 1 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 688.8370{{c}}, ~5/4 = 391.8801{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1198.7814{{c}}, ~3/2 = 688.1375{{c}}, ~5/4 = 391.4822{{c}}
+: [[error map]]: {{val| -1.219 -15.036 +2.731 +13.530 +14.002 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 687.9993{{c}}, ~5/4 = 391.2274{{c}}
+: error map: {{val| 0.000 -13.956 +4.914 +15.945 +15.908 }}
+<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 688.8370{{c}}, ~5/4 = 391.8801{{c}} -->
 {{Optimal ET sequence|legend=1| 7, 9, 12, 21, 28 }}
-[[Badness]] (Smith): 0.463 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.557
 === 13-limit ===
@@ Line 35: / Line 46: @@
 Mapping: {{mapping| 1 0 0 2 -2 -1 | 0 1 0 2 2 3 | 0 0 1 -1 1 0 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 685.0048{{c}}, ~5/4 = 390.2563{{c}}
+Optimal tunings:
+* WE: ~2 = 1199.6174{{c}}, ~3/2 = 684.7864{{c}}, ~5/4 = 390.1319{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 684.7716{{c}}, ~5/4 = 390.0622{{c}}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 685.0048{{c}}, ~5/4 = 390.2563{{c}} -->
-{{Optimal ET sequence|legend=0| 7, 9, 12f, 16, 21, 28 }}
+{{Optimal ET sequence|legend=0| 7, 9, 12f, 16, 21, 28, 37b }}
-Badness (Smith): 0.647 × 10<sup>-3</sup>
+Badness (Sintel): 0.605
 [[Category:Temperament families]]