Collection of EDO impressions: Difference between revisions

: '''Vector:''' The tuning I write most of my music in. It's good enough for writing the kind of music I want to write, as long as that kind of music isn't "[[xenharmonic]]". 12edo theory is my inspiration for my [[15edo]] theory system, and my general approach to [[xenharmonic|xenharmony]]. (It also brought with it a fair share of misconceptions: for a while, I assumed "sharp" just meant "1 edostep", and after I was corrected wtih [[17edo]] I assumed it meant "between whatever intervals are (true) minor and major".)

: '''Budjarn Lambeth:''' An excellent [[5-limit]] tuning. It is simple and stays out of the composer's way for two reasons: it works with an impressively wide variety of timbres, and it avoids [[wolf interval]]s better than any larger tuning. I believe this elegant simplicity is the reason for its popularity.

== [[13edo]] ==

: '''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.

: '''Budjarn Lambeth:''' Offers exciting melodic shapes. Still requires careful attention to [[timbre]], but it's more forgiving on that front than most similar sized tunings. The smallest equal tuning that approximates the entire [[11-limit]], so it's a great starting point for exploring new consonances which can't be found in 12.

== [[16edo]] ==

: '''Carmen14edo/Bragtime:''' Some people like that one guy who wrote a paper argue this is better for [[diatonic]] melody & counterpoint, but at what cost? The answer is concordant triadic harmony lol

: '''Deja Igliashon:''' Another one of my all-time favorite and most-used tunings! You literally cannot find a better temperament for the no-5s [[13-limit]] unless you give an incredibly high weight to accuracy, in which case [[207edo]] finally edges it out. (Or so little weight to accuracy that [[9edo]] eventually beats it). It is just so accurate AND so small that any mathematical approach to quantifying temperament badness practically cannot help but declare 17edo the true lord and savior of the 2.3.7.11.13 [[subgroup]]. And if you can stop moaning about how out-of-tune the major triads sound long enough to actually mess around with other harmonic possibilities, you'll quickly discover that practically anywhere you put your fingers, you're stumbling on something that hums and buzzes with that wonderful cold and alien 13-limit energy. Oh, and this is also the smallest EDO that can distinctly represent the rough melodic shapes of all the maqamat from Maqam World, since it is the smallest EDO that has [[neutral]] 2nds (half of a minor 3rd), neutral 3rds (half of a perfect 5th), AND good perfect 4ths and perfect 5ths.

: '''Budjarn Lambeth:''' Offers exciting melodic shapes, but requires careful attention to [[timbre]] to prevent it sounding "out of tune".

: '''Zhenlige:''' A circle of fifths in [[34edo]]. Interesting sharp fifths. The smallest diatonic EDO with neutral intervals. The boundary between neogothic and superpyth. Like 12edo, its thirds do not approximate any simple ratios well. I don't know how to write harmonies here. Only 3-limit seems to be good but still worse than 12.

: '''Nicolai:''' Similar to [[27edo|27EDO]], but this is a bit better since the fifth is a little bit better compared to 27EDO.

: '''Yourmusic Productions:''' [[12edo]]'s evil twin, but in an awesome way. About the same amount of error but in opposite directions means similar kinds of psychoacoustic beating, majors and minors are still clearly recognisable, and everything sounds deceptively familiar right up until it does something awesome that 12 can't. When you do focus on xen intervals and chords, it still sounds much better than [[24edo]] Another definite favourite.

: '''Zhenlige:''' A circle of fifths in [[mystery]], which supports [[pele]] (and is close to its optimal tuning), a convenient temperament with 5, 7, 11 and 13 on the same chain of fifths. The smallest EDO with a better fifth than 12edo. Not so useful on its own.

: '''Nicolai:''' 17EDO, but now there's a good third.

: '''Yourmusic Productions:''' Even better for [[5-limit]] music than [[31edo]], with it's gorgeous thirds, actually defined different sizes of whole tone and still sour harmonic 7, yet even more underused. Definitely deserves more attention. Maybe a half-[[kite guitar]], with full frets up to the perfect 4th or 5th, then [[17edo]] above that point, with adjacent strings tuned so the full range of higher notes can still be played would make it feasible.

: '''Zhenlige:''' 17edo with prime [[5/1|5]], but no [[7/1|7]]. A slightly stretched [[Carlos Gamma]] scale.

: '''Nicolai:''' 12EDO, but better.

: '''Yourmusic Productions:''' 12, only with lots of extra harmonic options that actually sound good and are much easier to slip into an otherwise normal track than 24's.

: '''Budjarn Lambeth:''' Along with 24edo, it is one of the two possible ways to extend 12edo while preserving equal spacing, and keeping the number of notes somewhat manageable. 36edo is ideal if you want to add intervals involving the 7th harmonic into 12edo, while 24edo is ideal if you want to add intervals involving the 11th harmonic. Comparing and contrasting 24edo and 36edo can help you get a feel for the difference between the "vibe" of the 11th harmonic, and the "vibe" of the 7th harmonic. I recommend dipping your toes into each of the two. — Try using familar 12edo intervals in lower registers of your instrument(s)/mix, while mixing in some of the strange new 36edo intervals in the higher registers. Thus will mimic the shape of the [[harmonic series]] and sound nice and glittery.

: '''Zhenlige:''' Good for 2.3.7.13.17.19.23.29 subroup. Avoid [[5/1|5]] here because it is almost completely missed. Otherwise incomplete 72edo.

: '''Bozu:''' [[Hyperpent]] [[augmented (temperament)|augmented]] with a lot of notes.

: '''Nicolai:''' You either get [[mavila]] or [[superpyth]], there is no middle.

== [[40edo]] ==