10edf: Difference between revisions

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== Theory ==

10edf is related to [[17edo]], but with the [[3/2|perfect fifth]] rather than the [[~~2/1|~~octave]] being just. The octave is about 6.68 ~~cents compressed~~. 10edf is [[consistent]] to the [[integer limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 17edo is only consistent up to the 4-integer-limit. This makes 10edf a suitable tuning perhaps in the [[5-limit]], but overcompressed in any other limits, as well as the no-5 13-limit, where 17edo is best at.

10edf is related to [[17edo]], but with the [[3/2|perfect fifth]] rather than the [[octave]] being just. The octave is compressed by about 6.68{{c}}, a small but significant deviation. 10edf is [[consistent]] to the [[integer limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 17edo is only consistent up to the 4-integer-limit. This makes 10edf a suitable tuning perhaps in the [[5-limit]], but overcompressed in any other limits, as well as the no-5 13-limit, where 17edo is best at.

=== Harmonics ===

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== Intervals ==

{| class="wikitable center-all right-2"

|-

! #

! Cents

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== Music ==

=== 21st century ===

; [[Peter Kosmorsky]]

* [https://www.archive.org/details/10Edf ''10 edf''] (archived 2011)

; [[Bryan Deister]]

* [https://www.youtube.com/shorts/U-XewMZiBC0 ''9ed(3/2) + 10ed(3/2) + 11ed(3/2) locked at 6:8:11 improv''] (2026, polymicrotonal, playing in 3 tuning systems simultaneously)

== See also ==

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 == Theory ==
-edf is related to [[17edo]], but with the [[3/2|perfect fifth]] rather than the [[2/1|octave]] being just. The octave is about 6.68 cents compressed. 10edf is [[consistent]] to the [[integer limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 17edo is only consistent up to the 4-integer-limit. This makes 10edf a suitable tuning perhaps in the [[5-limit]], but overcompressed in any other limits, as well as the no-5 13-limit, where 17edo is best at.
+edf is related to [[17edo]], but with the [[3/2|perfect fifth]] rather than the [[octave]] being just. The octave is compressed by about 6.68{{c}}, a small but significant deviation. 10edf is [[consistent]] to the [[integer limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 17edo is only consistent up to the 4-integer-limit. This makes 10edf a suitable tuning perhaps in the [[5-limit]], but overcompressed in any other limits, as well as the no-5 13-limit, where 17edo is best at.
 === Harmonics ===
@@ Line 14: / Line 14: @@
 == Intervals ==
 {| class="wikitable center-all right-2"
+|-
 ! #
 ! Cents
@@ Line 126: / Line 127: @@
 == Music ==
+=== 21st century ===
 ; [[Peter Kosmorsky]]
 * [https://www.archive.org/details/10Edf ''10 edf''] (archived 2011)
+; [[Bryan Deister]]
+* [https://www.youtube.com/shorts/U-XewMZiBC0 ''9ed(3/2) + 10ed(3/2) + 11ed(3/2) locked at 6:8:11 improv''] (2026, polymicrotonal, playing in 3 tuning systems simultaneously)
 == See also ==