Garischismic clan: Difference between revisions

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 * [[Garibaldi]] (+225/224) → [[Schismatic family #Garibaldi|Schismatic family]]
 * ''[[Newt]]'' (+2401/2400) → [[Breedsmic temperaments #Newt|Breedsmic temperaments]]
-* ''[[Gariwizmic]]'' (+420175/419904) → [[Wizmic microtemperaments #Gariwizmic|Wizmic microtemperaments]]
 * ''[[Sextile]]'' (+250047/250000) → [[Landscape microtemperaments #Sextile|Landscape microtemperaments]]
 * ''[[Alphatrident]]'' (+6144/6125) → [[Alphatricot family #Alphatrident|Alphatricot family]]
@@ Line 40: / Line 39: @@
 * ''[[Garistearn]]'' (+118098/117649) → [[Stearnsmic clan #Garistearn|Stearnsmic clan]]
-Considered below are cotoneum, satin, and world calendar.
+Considered below are cotoneum, gariwizmic, satin, and world calendar.
 === 2.3.7.11 subgroup ===
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 Badness (Sintel): 1.33
+== Gariwizmic ==
+Gariwizmic tempers out the [[wizma]] and the garischisma, and may be described as the {{nowrap| 94 & 176 }} temperament. It assumes a [[semioctave]] period and a [[3/2|perfect fifth]] generator that is slightly sharp of just. It finds [[5/4]] 39 fifths away, shifted by a semioctave. It extends extremely well to the 2.3.5.7.11.13.19 subgroup. Notable tunings not appearing in the optimal ET sequence include [[364edo]] and [[634edo]].
+Gariwizmic was named by [[Eufalesio]] in 2026 as a concatenation of ''gary'' and ''wizmic''.
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 420175/419904, 33554432/33480783
+{{Mapping|legend=1| 2 0 -119 50 | 0 1 39 -14 }}
+: mapping generators: ~46305/32768, ~3
+[[Optimal tuning]]s:
+* [[WE]]: ~46305/32768 = 599.9657{{c}}, ~3/2 = 702.1765{{c}}
+: [[error map]]: {{val|-0.069 +0.153 -0.021 -0.053 }}
+* [[CWE]]: ~46305/32768 = 600.0000{{c}}, ~3/2 = 702.2161{{c}}
+: error map: {{val| 0.000 +0.261 +0.114 +0.149 }}
+{{Optimal ET sequence|legend=1| 94, 176, 270, 904, 1174, 1444, 1714, 3158b, 4872bbcd }}
+[[Badness]] (Sintel): 2.22
+==== 11-limit ====
+Subgroup: 2.3.5.7.11
+Comma list: 9801/9800, 19712/19683, 41503/41472
+Mapping: {{mapping| 2 0 -119 50 -66 | 0 1 39 -14 23 }}
+Optimal tunings:
+* WE: ~99/70 = 599.9790{{c}}, ~3/2 = 702.1938{{c}}
+: error map: {{val| -0.042 +0.197 +0.106 -0.001 -0.440 }}
+* CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 702.2179{{c}}
+: error map: {{val| 0.000 +0.263 +0.185 +0.123 -0.306 }}
+{{Optimal ET sequence|legend=0| 94, 176, 270, 1174, 1444, 1714, 1984e }}
+Badness (Sintel): 1.01
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 1716/1715, 2080/2079, 4096/4095, 19712/19683
+Mapping: {{mapping| 2 0 -119 50 -66 93 | 0 1 39 -14 23 -27 }}
+Optimal tunings:
+* WE: ~99/70 = 599.9958{{c}}, ~3/2 = 702.2096{{c}}
+: error map: {{val| -0.008 +0.246 +0.035 +0.146 -0.412 -0.353 }}
+* CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 702.2145{{c}}
+: error map: {{val| 0.000 +0.260 +0.054 +0.170 -0.383 -0.321 }}
+{{Optimal ET sequence|legend=0| 94, 176, 270, 634, 904, 1174 }}
+Badness (Sintel): 0.822
+==== 2.3.5.7.11.13.19 subgroup ====
+Subgroup: 2.3.5.7.11.13.19
+Comma list: 1216/1215, 1540/1539, 1716/1715, 1729/1728, 2080/2079
+Mapping: {{mapping| 2 0 -119 50 -66 93 -131 | 0 1 39 -14 23 -27 44 }}
+Optimal tunings:
+* WE: ~99/70 = 599.9969{{c}}, ~3/2 = 702.2114{{c}}
+: error map: {{val| -0.006 +0.250 +0.057 +0.147 -0.394 -0.355 -0.079 }}
+* CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 702.2150{{c}}
+: error map: {{val| 0.000 +0.260 +0.070 +0.165 -0.374 -0.332 -0.055 }}
+{{Optimal ET sequence|legend=0| 94, 176, 270, 634, 904, 1174 }}
+Badness (Sintel): 0.655
 == Satin ==