User:Eboone/EDO Impressions: Difference between revisions

''No prime factorization, 1° = 1200¢, No fifth''

Honestly, can this one even be called an edo? I mean, "equal divisions of the octave" implies that the octave is divided. Anyway, this edo is pretty lame because the whole point of using different temperaments is to access different melodic and harmonic opportunities, and this edo doesn't allow any of that. The only way to make this edo musical is through rhythm, dynamics, form, etc... stuff that isn't related to tuning.

''Tier: '''C'''''

Of the subsets of 12edo, I'd say this is the most interesting because it contains a '''whole tone''', and it's the only one that isn't just a meme. 6edo contains 2 interlocked instances of 3edo, meaning it has the same echoey major third, and it also contains 3 interlocked instances of 2edo, meaning it has the same uninvertible tritone. The combination of these intervals really contributes to the infamous dreamy quality of this edo, better known as the whole-tone scale.

''Prime, 1° = 171.43¢, Fifth = 685.71¢ (4\7)''

This is the first edo with a perfect fifth and a third. The fifth is pretty flat, coming in 16.25¢ flat of 3/2, and the third is a supraminor third of 342.86¢. In a way, 7edo is the polar opposite of 5edo, containing a fifth that is almost equally off in the opposite direction. This gives 7edo a noticeably less uplifting sound, and more of a "crying out in pain" sound as one of my subscribers put it. Quartal and quintal structures have a distinct "underwater" quality, as opposed to the skyward energy of such structures in 5edo.

''Tier: '''B'''''

This is... an interesting one. Honestly, I really didn't used to like 8edo, but eventually I came to see how powerful it is when used in certain contexts. It doesn't have a perfect fifth or a whole tone, but it is extremely close to '''[[12/11]] equal step tuning'''. It also features a good approximation of [[13/10]], a rather ambiguous "third-fourth" that can either be used as an ultramajor third or a very flat fourth.

''Prime, 1° = 109.09¢, "Fifth" = 654.55¢ (6\11)''

This is a... fun one. It suffers from being almost 12edo, giving it a somewhat similar vibe to 9edo, but without the whole "battle between consonance and dissonance" thing since nearly everything here is dissonant. The fifth is more like [[16/11]] than anything close to 3/2, meaning it actually has the worst fifth since 6edo, although 8edo comes close. This edo is notable for its approximation of [[9/7]], being just 1.28¢ sharp, making it the first edo with a '''supermajor third'''. It also has a pretty good approximation of the '''[[11/8|11th harmonic]]''', being 5.87¢ flat.

''Tier: '''B'''''

This is just a better 11edo. It has a better approximation of 11/8 (2.53¢ sharp), and is honestly much better at pulling off the "almost 12edo" effect. It also has 2 fifths, and even though they're both terrible it's still better than having whatever 11edo has.

''Tier: '''S-'''''

This is probably the most popular 5n-edo, and for good reason. It's like 12edo from an alternate universe; it has two flavors of thirds and a reasonable fifth, yet it also has decent approximations of 7/4 and 11/8 and it doesn't support the diatonic scale. It also doesn't really have what I would call a whole-tone. Instead, it has the interseptimal second-third from 5edo, along with a neutral second and a small semitone. These three step sizes provide a vast array of melodic possibilities, allowing you to create powerful melodies that have no analog in the diatonic scale.

''Tier: '''S'''''

17edo is the first edo after 12edo to have the diatonic scale, and it is the first that demonstrates '''[[Superpyth|superpythagorean temperament]]''', though many would say it is better described as a [[Parapyth|'''parapythagorean temperament''']]. It sports the hard diatonic scale, where the large step is 3 degrees and the small step is 1 degree. This gives melodies a noticeably more "closed in" sound, whereas meantone temperaments make the diatonic scale more open.

''Tier: '''S'''''

19edo is the next edo after 17edo to have the diatonic scale, and it is the first that really demonstrates meantone. Specifically, it is very close to '''1/3-comma meantone''' with [[eigenmonzo]] 6/5, so the minor third of this edo is only 0.15¢ flat of 6/5. This is the best approximation of 6/5 among all edos on this page. The approximation of 5/4 is also relatively decent, coming in 7.36¢ flat. This particular flat major third has a marvelous quality (pun intended), as it comes extremely close to '''[[56/45]]'''. It's a very distinct and beautiful major third that really makes this edo shine.

====17edo demo retuned====

I'm just going to be honest, this is blatantly worse. Some of the voice leading doesn't really translate, particularly in the case of sus4 voicings. In 17edo, C is 1 degree above B, but in 19edo, they are 2 degrees apart, so the falling melody in the left hand of the piano loses some of its effect in the 19edo version. Bar 5 really does open up in this version, with the minor third being so much higher than in 17edo, but I can't really say that's a good thing. It's not bad, but I definitely prefer the darker quality of the noble minor third over the classic minor third in this particular context.

====19edo demo retuned====

Perhaps it's unfair that I chose a style that works well in literally any edo, because this actually sounds very good. The previous demo is in a minor key, so 19edo sounds more open (and thus uncharacteristic, in my opinion), whereas this one is in a major key, so 17edo sounds more open. And I must say, something really is lost when attempting to translate 19edo's 5-limit consonances into whatever 17edo is. It just feels less locked in; it's a bit more "gritty." It still sounds really cool, but the marvelousness of 19edo really aids this track more than the crudeness of 17edo. In other words, we're looking for consonant dissonances, not just dissonances.

===[[20edo]]===

''Tier: '''A'''''

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===[[21edo]]===

''Tier: '''A'''''

===[[22edo]]===

''Tier: '''S'''''

===[[23edo]]===

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===[[24edo]]===

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===[[25edo]]===

===[[26edo]]===

''Tier: '''S-'''''

===[[27edo]]===

''Tier: '''A+'''''

===[[28edo]]===

''Tier: '''C+'''''

===[[29edo]]===

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