26edo: Difference between revisions

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== Logarithmic ϕ, Acoustic π, Acoustic ϕ ==

26edo has the good [[logarithmic phi]] / 2 (16\26) and [[acoustic phi]] (18\26) provided by [[13edo]], and gets a good [[11/7#Proximity with π/2|acoustic π/2]] just in between these two intervals (17\26), although not as close as the one of [[23edo]].

Not until [[89edo|89]] do we find a better EDO in terms of absolute error on these intervals, and not until [[1076edo|1076]] do we find one in terms of relative error.

== Rank two temperaments ==

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* [https://sites.google.com/site/teamouse/26-et-Pianoteq-Bechstein.mp3 Etude in 26-tone equal temperament] by [[Herman Miller]]

* [http://archive.org/details/UnderTheHeatdome under the heatDome] [http://archive.org/download/UnderTheHeatdome/under_the_heatDome.mp3 play] by [[Jon Lyle Smith]]

* [~~http~~://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html A New Recording of Organ Study #1] [http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3 play] {{dead link}} by [[Daniel Thompson]]

* [https://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html A New Recording of Organ Study #1] [http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3 play] {{dead link}} by [[Daniel Thompson]]

* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3 Little Fugue in 26] by [[Cameron Bobro]]

* [http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3 26 tone fugue (unfinished)] {{dead link}} by Peter Kosmorsky (based on the melody he was singing in the shower, in orgone, to the presumed confusion of those in earshot)

@@ Line 476: / Line 476: @@
 | ''29.258''
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+== Logarithmic ϕ, Acoustic π, Acoustic ϕ ==
+edo has the good [[logarithmic phi]] / 2 (16\26) and [[acoustic phi]] (18\26) provided by [[13edo]], and gets a good [[11/7#Proximity with π/2|acoustic π/2]] just in between these two intervals (17\26), although not as close as the one of [[23edo]].
+Not until [[89edo|89]] do we find a better EDO in terms of absolute error on these intervals, and not until [[1076edo|1076]] do we find one in terms of relative error.
 == Rank two temperaments ==
@@ Line 839: / Line 844: @@
 * [https://sites.google.com/site/teamouse/26-et-Pianoteq-Bechstein.mp3 Etude in 26-tone equal temperament] by [[Herman Miller]]
 * [http://archive.org/details/UnderTheHeatdome under the heatDome] [http://archive.org/download/UnderTheHeatdome/under_the_heatDome.mp3 play] by [[Jon Lyle Smith]]
-* [http://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html A New Recording of Organ Study #1] [http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3 play] {{dead link}} by [[Daniel Thompson]]
+* [https://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html A New Recording of Organ Study #1] [http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3 play] {{dead link}} by [[Daniel Thompson]]
 * [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3 Little Fugue in 26] by [[Cameron Bobro]]
 * [http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3 26 tone fugue (unfinished)] {{dead link}} by Peter Kosmorsky (based on the melody he was singing in the shower, in orgone, to the presumed confusion of those in earshot)