666edo: Difference between revisions

Line 11:

666 is divisible by {{EDOs|9, 18, 37, 74, 111, 222, and 333}}.

666edo also approximates the "Factor 9 Grid", or the just intonation esoteric scale deconstructed and debunked by Adam Neely. The best rank two temperament for this scale is 495 & 666.

666edo also approximates the "Factor 9 Grid", or the just intonation esoteric scale deconstructed and debunked by Adam Neely. The best rank two temperament for this scale is 495 & 666. A more general 23-limit version of this temperament can be described also, which results in a temperament with period 1/9 octave.

==== Factor 9 ~~grid~~ - 495 & 666 ====

==== Factor 9 Grid (general) - 495 & 666 ====

Subgroup: ~~14:15:16:~~17~~:18:~~19~~:20:21:22:~~23~~:24:25:26:27:28~~

Subgroup: 2.3.5.7.11.13.17.19.23

Comma list: 442/441, 715/714, 2300/2299, 3060/3059, 3179/3174, 9025/9009, 57375/57344

POTE Generator: 63.0631c (~27/26)

Vals: 171f, 495, 666

== Rank two temperaments by generator ==

{| class="wikitable center-all left-5"

!Periods

per octave

!Generator

!Cents

!Associated

ratio

!Temperaments

|-

|9

|35\666

|63.063

|~27/26

|Factor 9 Grid

|}

== References ==

* [http://x31eq.com/cgi-bin/rt.cgi?key=666_1289_1874_2426_2948_3443_3914_4363_4792_5203_5597_5976_6340_6691&ets=666&limit=15%2F14_16%2F14_17%2F14_18%2F14_19%2F14_20%2F14_21%2F14_22%2F14_23%2F14_24%2F14_25%2F14_26%2F14_27%2F14_28%2F14 Approximation of the Factor 9 grid in 666edo]

* [https://www.youtube.com/watch?v=ghUs-84NAAU&t=203s Testing 432 Hz Frequencies and Temperaments - Adam Neely]

@@ Line 11: / Line 11: @@
 is divisible by {{EDOs|9, 18, 37, 74, 111, 222, and 333}}.
-edo also approximates the "Factor 9 Grid", or the just intonation esoteric scale deconstructed and debunked by Adam Neely. The best rank two temperament for this scale is 495 & 666.
+edo also approximates the "Factor 9 Grid", or the just intonation esoteric scale deconstructed and debunked by Adam Neely. The best rank two temperament for this scale is 495 & 666. A more general 23-limit version of this temperament can be described also, which results in a temperament with period 1/9 octave.
-==== Factor 9 grid - 495 & 666 ====
+==== Factor 9 Grid (general) - 495 & 666 ====
-Subgroup: 14:15:16:17:18:19:20:21:22:23:24:25:26:27:28
+Subgroup: 2.3.5.7.11.13.17.19.23
+Comma list: 442/441, 715/714, 2300/2299, 3060/3059, 3179/3174, 9025/9009, 57375/57344
+POTE Generator: 63.0631c (~27/26)
+Vals: 171f, 495, 666
+== Rank two temperaments by generator ==
+{| class="wikitable center-all left-5"
+!Periods
+per octave
+!Generator
+!Cents
+!Associated
+ratio
+!Temperaments
+|-
+|9
+|35\666
+|63.063
+|~27/26
+|Factor 9 Grid
+|}
 == References ==
 * [http://x31eq.com/cgi-bin/rt.cgi?key=666_1289_1874_2426_2948_3443_3914_4363_4792_5203_5597_5976_6340_6691&ets=666&limit=15%2F14_16%2F14_17%2F14_18%2F14_19%2F14_20%2F14_21%2F14_22%2F14_23%2F14_24%2F14_25%2F14_26%2F14_27%2F14_28%2F14 Approximation of the Factor 9 grid in 666edo]
 * [https://www.youtube.com/watch?v=ghUs-84NAAU&t=203s Testing 432 Hz Frequencies and Temperaments - Adam Neely]