26edo: Difference between revisions

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@@ Line 96: / Line 96: @@
 . It also has a pretty good 17th harmonic and tempers out the comma 459:448, thus three fifths gives a 17:14 and four gives a 21:17; "mushtone". Mushtone is high in badness, but 26edo does it pretty well (and [[33edo]] even better). Because 26edo also tempers out 85:84, the septendecimal major and minor thirds are equivalent to their pental counterparts, making mushtone the same as flattone.
+===Differences between distributionally-even scales and smaller edos===
+{| class="wikitable"
+|+
+! N
+!L-Nedo
+!s-Nedo
+|-
+|3
+|15.385¢
+| -30.769¢
+|-
+|4
+|23.077¢
+| -23.077¢
+|-
+|5
+|36.923¢
+| -9.231¢
+|-
+|6
+|30.769¢
+| -15.385¢
+|-
+|7
+|13.187¢
+| -32.967¢
+|-
+|8
+|34.615¢
+| -11.5385¢
+|-
+|9
+|5.128¢
+| -41.026¢
+|-
+|10
+|18.4615¢
+| -27.692¢
+|-
+| 11
+|29.371¢
+|  -16.783¢
+|-
+|12
+|38.4615¢
+| -7.692¢
+|-
+|14
+|6.593¢
+| -39.56¢
+|-
+|15
+|12.308¢
+| -33.846¢
+|-
+|16
+|17.308¢
+| -29.846¢
+|-
+| 17
+|21.7195¢
+| -24.434¢
+|-
+| 18
+|25.641¢
+| -20.513¢
+|-
+|19
+|29.15¢
+| -17.004¢
+|-
+|20
+|32.308¢
+| -13.846¢
+|-
+| 21
+|35.165¢
+|  -10.989¢
+|-
+| 22
+| 37.762¢
+| -8.392¢
+|-
+|23
+|40.134¢
+| -6.02¢
+|-
+|24
+|42.308¢
+| -3.846¢
+|-
+|25
+|44.308¢
+| -1.846¢
+|}
 == Intervals ==
@@ Line 551: / Line 646: @@
 * diatonic ([[flattone]]) 4443443 (15\26, 1\1)
-* chromatic ([[flattone]]) 313131331313 (15\26, 1\1)
+* chromatic ([[flattone]]) [[Tel:313131331313|313131331313]] (15\26, 1\1)
 * enharmonic ([[flattone]]) 2112112112121121121 (15\26, 1\1)
 * [[orgone]] 5525252 (7\26, 1\1)
-* [[orgone]] 32322322322 (7\26, 1\1)
+* [[orgone]] [[Tel:32322322322|32322322322]] (7\26, 1\1)
-* [[orgone]] 212212221222122 (7\26, 1\1)
+* [[orgone]] [[Tel:212212221222122|212212221222122]] (7\26, 1\1)
 * [[lemba]] 553553 (5\26, 1\2)
-* [[lemba]] 3232332323 (5\26, 1\2)
+* [[lemba]] [[Tel:3232332323|3232332323]] (5\26, 1\2)
-* [[lemba]] 2122122121221221 (5\26, 1\2)
+* [[lemba]] [[Tel:2122122121221221|2122122121221221]] (5\26, 1\2)
 {| class="wikitable center-all left-3"
@@ Line 775: / Line 870: @@
 The 7-tone scale in degrees-in-between: 5 2 5 2 5 2 5. [[MOSScales|MOS]] of type [[4L_3s|4L 3s (mish)]].
-The 7-tone scale in cents: 0 231 323 554 646 877 969 1200.
+The 7-tone scale in cents: [[Tel:0 231 323 554 646 877|0 231 323 554 646 877]] [[Tel:969 1200|969 1200]].
 The 11-tone scale in degrees-in-between: 2 3 2 2 3 2 3 2 2 3 2. [[MOSScales|MOS]] of type [[4L_7s|4L 7s]].
-The 11-tone scale in cents: 0 92 231 323 415 554 646 785 877 969 1108 1200.
+The 11-tone scale in cents: [[Tel:0 92 231 323 415 554|0 92 231 323 415 554]] [[Tel:646 785 877 969|646 785 877 969]] 1108 1200.
 The primary triad for orgone temperament is 8:11:14 and its subharmonic inversion, which these scales have in abundance. 2g approximates [[16/11|16:11]] and 3g approximates [[7/4|7:4]] (and I would call that the definition of Orgone Temperament). That also implies that g approximates the difference between 7:4 and 16:11, which is 77:64, about 320.1 cents.