BudjarnLambeth/Ed257/128: Difference between revisions

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 An '''equal division of reduced harmonic 257''' ('''ed257/128''') is an [[equal-step tuning]] in which the octave-reduced 257th harmonic ([[257/128]]) is [[Just intonation|justly tuned]] and is divided in a given number of equal steps. 257/128 is very close to the [[octave]], 2/1, but it is slightly sharper. This makes it suitable as an alternative to edos whose consonances are too flat, such as [[7edo]].
 == 7ed255/128 ==
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 * 1034.357
 * 1206.749
+== 9ed255/128 ==
+=== Harmonics ===
+{{Harmonics in equal|9|257|128|intervals=integer}}
+[[9edo]] for comparison:
+{{Harmonics in equal|9|intervals=integer|collapsed=1}}
+=== Intervals ===
+* 134.083
+* 268.167
+* 402.25
+* 536.333
+* 670.416
+* 804.5
+* 938.583
+* 1072.666
+* 1206.749
+== 14ed255/128 ==
+=== Harmonics ===
+{{Harmonics in equal|14|257|128|intervals=integer}}
+[[14edo]] for comparison:
+{{Harmonics in equal|14|intervals=integer|collapsed=1}}
+=== Intervals ===
+* 86.196
+* 172.393
+* 258.589
+* 344.786
+* 430.982
+* 517.178
+* 603.375
+* 689.571
+* 775.768
+* 861.964
+* 948.16
+* 1034.357
+* 1120.553
+* 1206.749
+== 16ed255/128 ==
+=== Harmonics ===
+{{Harmonics in equal|16|257|128|intervals=integer}}
+[[16edo]] for comparison:
+{{Harmonics in equal|16|intervals=integer|collapsed=1}}
+=== Intervals ===
+* 75.422
+* 150.844
+* 226.266
+* 301.687
+* 377.109
+* 452.531
+* 527.953
+* 603.375
+* 678.797
+* 754.218
+* 829.64
+* 905.062
+* 980.484
+* 1055.906
+* 1131.328
+* 1206.749
+== 19ed255/128 ==
+=== Harmonics ===
+{{Harmonics in equal|19|257|128|intervals=integer}}
+[[19edo]] for comparison:
+{{Harmonics in equal|19|intervals=integer|collapsed=1}}
+=== Intervals ===
+* 63.513
+* 127.026
+* 190.539
+* 254.053
+* 317.566
+* 381.079
+* 444.592
+* 508.105
+* 571.618
+* 635.131
+* 698.644
+* 762.158
+* 825.671
+* 889.184
+* 952.697
+* 1016.21
+* 1079.723
+* 1143.236
+* 1206.749
 == Related concepts ==