Collection of EDO impressions: Difference between revisions

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: '''Nicolai:''' Probably the most popular small EDO. Great chords, good approximation of [[6/5]], and supports some nice temperaments. Also I kinda introduced [[Stephen Weigel|Weigel]] to a [[Hanson keyboard]], and then he made it into his keyboard, so I feel a little happy about telling him about that.

: '''Keenan:''' Very interesting for [[blackwood]], [[porcupine]], and others. A good all-around EDO. If you want to internalize [[Porcupine intervals|porcupine interval categories]], use 15edo.

: '''Mike:''' has [[5-limit ~~harmony~~]] plus a 5 note [[circle of fifths|circle of 3/2's]], which is crazy in terms of "tonality," which would seem to be peripherally relevant

: '''Mike:''' has [[5-limit]] harmony plus a 5 note [[circle of fifths|circle of 3/2's]], which is crazy in terms of "tonality," which would seem to be peripherally relevant

: '''Yourmusic Productions:''' Like 14, not as good at [[5-limit|simple harmonies]] as 12, but some glorious extended [[blackwood]] chords that combine more notes than you can in 12 and still sound good. [[Porcupine]] looks simpler, but I actually find it more of a struggle than blackwood to use.

: '''Carmen14edo/Bragtime:''' Blackwood[10] is like the coolest scale ever, change my mind (you won't)

: '''Deja Igliashon:''' One of my all-time favorite and most-used tunings. It absolutely RULES on [[guitar]], it's so easy, it's so fun, it's so versatile, everyone should try it! Also, why is no one talking about the fact that 15edo is essentially the smallest EDO that can recognizably render [[11-~~limut~~|harmonics 2, 3, 5, 7, and 11]]? Yeah, Blackwood[10] is rad AF for having an unbroken circular chain of alternating major and minor 5-limit triads with no [[wolf interval]]s, but like...have you seen [[Triforce]][9]? It has three 8:10:11:12:14:15 [[hexad]]s! That's UNHINGED. Sure they are not tuned super accurately, but you can practically just mash random combinations of pitches in that scale and end up with some recognizable [[11-limit]] harmony. Also, 15edo supports [[Orgone]] temperament, like 11edo and 26edo, but unlike those other two, 15edo [[tempers]] out [[56/55]], making [[5/4]]=[[14/11]], and making the [[utonal]] counterpart of [[8:11:14]] equal to [[4:5:7]]. That gives Orgone[7] some extra [[concordance]]

: '''Deja Igliashon:''' One of my all-time favorite and most-used tunings. It absolutely RULES on [[guitar]], it's so easy, it's so fun, it's so versatile, everyone should try it! Also, why is no one talking about the fact that 15edo is essentially the smallest EDO that can recognizably render [[11-limit|harmonics 2, 3, 5, 7, and 11]]? Yeah, Blackwood[10] is rad AF for having an unbroken circular chain of alternating major and minor 5-limit triads with no [[wolf interval]]s, but like...have you seen [[Triforce]][9]? It has three 8:10:11:12:14:15 [[hexad]]s! That's UNHINGED. Sure they are not tuned super accurately, but you can practically just mash random combinations of pitches in that scale and end up with some recognizable [[11-limit]] harmony. Also, 15edo supports [[Orgone]] temperament, like 11edo and 26edo, but unlike those other two, 15edo [[tempers]] out [[56/55]], making [[5/4]]=[[14/11]], and making the [[utonal]] counterpart of [[8:11:14]] equal to [[4:5:7]]. That gives Orgone[7] some extra [[concordance]]

: '''Fumica:''' The error of the fifth is getting quite large for its step size, particularly if you compare it with 10edo. Either this or 10edo can be viewed as the opposite of 14edo, so I think of this as the direct competitor of 10edo. As for which I prefer? I have no idea. A-tier.

: '''Vector:''' A shining example of why the [[chain of fifths]] is not suitable as a universal model. 15edo has a [[diatonic scale]] (the [[zarlino]] scale of 2313231) that makes for a much more familiar interpretation of the tuning than inflecting the 5edo notes up and down. In terms of just intonation, it approximates simple intervals of the [[11-limit]], and tempers the infamous zarlino [[wolf interval|wolf fifth]] flat enough that it merges with the concordant 11th [[subharmonic]], thereby solving the main problem that zarlino itself has.

@@ Line 197: / Line 197: @@
 : '''Nicolai:''' Probably the most popular small EDO. Great chords, good approximation of [[6/5]], and supports some nice temperaments. Also I kinda introduced [[Stephen Weigel|Weigel]] to a [[Hanson keyboard]], and then he made it into his keyboard, so I feel a little happy about telling him about that.
 : '''Keenan:''' Very interesting for [[blackwood]], [[porcupine]], and others. A good all-around EDO. If you want to internalize [[Porcupine intervals|porcupine interval categories]], use 15edo.
-: '''Mike:''' has [[5-limit harmony]] plus a 5 note [[circle of fifths|circle of 3/2's]], which is crazy in terms of "tonality," which would seem to be peripherally relevant
+: '''Mike:''' has [[5-limit]] harmony plus a 5 note [[circle of fifths|circle of 3/2's]], which is crazy in terms of "tonality," which would seem to be peripherally relevant
 : '''Yourmusic Productions:''' Like 14, not as good at [[5-limit|simple harmonies]] as 12, but some glorious extended [[blackwood]] chords that combine more notes than you can in 12 and still sound good. [[Porcupine]] looks simpler, but I actually find it more of a struggle than blackwood to use.
 : '''Carmen14edo/Bragtime:''' Blackwood[10] is like the coolest scale ever, change my mind (you won't)
-: '''Deja Igliashon:''' One of my all-time favorite and most-used tunings. It absolutely RULES on [[guitar]], it's so easy, it's so fun, it's so versatile, everyone should try it! Also, why is no one talking about the fact that 15edo is essentially the smallest EDO that can recognizably render [[11-limut|harmonics 2, 3, 5, 7, and 11]]? Yeah, Blackwood[10] is rad AF for having an unbroken circular chain of alternating major and minor 5-limit triads with no [[wolf interval]]s, but like...have you seen [[Triforce]][9]? It has three 8:10:11:12:14:15 [[hexad]]s! That's UNHINGED. Sure they are not tuned super accurately, but you can practically just mash random combinations of pitches in that scale and end up with some recognizable [[11-limit]] harmony. Also, 15edo supports [[Orgone]] temperament, like 11edo and 26edo, but unlike those other two, 15edo [[tempers]] out [[56/55]], making [[5/4]]=[[14/11]], and making the [[utonal]] counterpart of [[8:11:14]] equal to [[4:5:7]]. That gives Orgone[7] some extra [[concordance]]
+: '''Deja Igliashon:''' One of my all-time favorite and most-used tunings. It absolutely RULES on [[guitar]], it's so easy, it's so fun, it's so versatile, everyone should try it! Also, why is no one talking about the fact that 15edo is essentially the smallest EDO that can recognizably render [[11-limit|harmonics 2, 3, 5, 7, and 11]]? Yeah, Blackwood[10] is rad AF for having an unbroken circular chain of alternating major and minor 5-limit triads with no [[wolf interval]]s, but like...have you seen [[Triforce]][9]? It has three 8:10:11:12:14:15 [[hexad]]s! That's UNHINGED. Sure they are not tuned super accurately, but you can practically just mash random combinations of pitches in that scale and end up with some recognizable [[11-limit]] harmony. Also, 15edo supports [[Orgone]] temperament, like 11edo and 26edo, but unlike those other two, 15edo [[tempers]] out [[56/55]], making [[5/4]]=[[14/11]], and making the [[utonal]] counterpart of [[8:11:14]] equal to [[4:5:7]]. That gives Orgone[7] some extra [[concordance]]
 : '''Fumica:''' The error of the fifth is getting quite large for its step size, particularly if you compare it with 10edo. Either this or 10edo can be viewed as the opposite of 14edo, so I think of this as the direct competitor of 10edo. As for which I prefer? I have no idea. A-tier.
 : '''Vector:''' A shining example of why the [[chain of fifths]] is not suitable as a universal model. 15edo has a [[diatonic scale]] (the [[zarlino]] scale of 2313231) that makes for a much more familiar interpretation of the tuning than inflecting the 5edo notes up and down. In terms of just intonation, it approximates simple intervals of the [[11-limit]], and tempers the infamous zarlino [[wolf interval|wolf fifth]] flat enough that it merges with the concordant 11th [[subharmonic]], thereby solving the main problem that zarlino itself has.