User:BudjarnLambeth/Regular temperament interpretation of lucite23: Difference between revisions

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 <big><big>"</big></big>
+=== Temperament data (x31eq) ===
+==== [[EDO]]s including it ====
+''(not exhaustive)''
+* {{EDOs|34, 68, 102f, 91p, 125p, 57p, 159f, 23p, 136f, 193f}}
+==== Mappings ====
+Equal Temperament Mappings
+	3	5	13	17
+[ ⟨	34	54	79	126	139	]
+⟨	91	144	211	337	372	] ⟩
+Reduced Mapping
+	3	5	13	17
+[ ⟨	1	0	1	3	4	]
+⟨	0	18	15	8	1	] ⟩
+==== TE tuning ====
+TE Generator Tunings (cents)
+⟨1199.6283, 105.6795]
+TE Step Tunings (cents)
+⟨19.81091, 5.78085]
+TE Tuning Map (cents)
+⟨1199.628, 1902.232, 2784.821, 4444.321, 4904.193]
+TE Mistunings (cents)
+⟨-0.372, 0.277, -1.492, 3.794, -0.763]
+==== POTE tuning ====
+POTE Generator Tunings (cents)
+⟨1200.0000, 105.7123]
+POTE Step Tunings (cents)
+⟨19.81705, 5.78264]
+POTE Tuning Map (cents)
+⟨1200.000, 1902.821, 2785.684, 4445.698, 4905.712]
+POTE Mistunings (cents)
+⟨-0.000, 0.866, -0.630, 5.171, 0.757]
+==== Complexity and error ====
+Complexity	4.329045
+Adjusted Error	2.360479 cents
+TE Error	0.577493 cents/octave
+==== Commas ====
+Unison Vectors
+[1, 0, 1, -2, 1⟩ ([[170/169]])
+[4, -2, 3, -1, -1⟩ ([[2000/1989]])
+[-3, 2, -2, -1, 2⟩ ([[2601/2600]])
+[-6, -5, 6, 0, 0⟩ ([[15625/15552]])
+[5, -2, 4, -3, 0⟩ ([[20000/19773]])
+[13, 1, -1, 0, -3⟩ ([[24576/24565]])
 == Lucite temperament ==
@@ Line 40: / Line 126: @@
 === Temperament data (x31eq) ===
-==== Lower rank temperaments including it ====
+==== [[EDO]]s including it ====
 ''(not exhaustive)''
 * {{EDOs|23de, 34e, 11b, 57ddee, 12bbcde, 45bce, 46bcddee, 68dee, 22bbcf, 80bcdddeee}}