Collection of EDO impressions: Difference between revisions

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|[[edo]]
|[[edo]]
|[[User:Aura/Aura's EDO Impressions|Aura's EDO Impressions]]
|[[Bozu's opinions of various edos]]
|[[Bozu's opinions of various edos]]
|[[User:CritDeathX/Sam's EDO Impressions|Sam's EDO Impressions]]
|[[User:CritDeathX/Sam's EDO Impressions|Sam's EDO Impressions]]
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|[[1edo]]
|[[1edo]]
|The framework for all other EDOs.  As it offers only 2-limit consonance, all notes belong to the same pitch class, and this can get boring pretty quickly, though admittedly not as boring as if you only had one note to play.
|LOL
|LOL
|The harmony of the cavemen.
|The harmony of the cavemen.
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|[[2edo]]
|[[2edo]]
|This EDO is very simple, offering only the perfect consonance of the octave and perfect dissonance of the tritone.  The brute force contrast between the antitonic (my name for the diatonic function of pitches located at or around 600 cents away from the tonic) and the tonic does make for good minimalistic harmonic progression, but to use this to its maximum potential requires some of the same techniques needed to master traditional music theory's Locrian mode, and even then, this EDO's limited note palette only ensures that it gets boring rather quickly.
|0th order diminished.  Nothing interesting, too constrained.
|0th order diminished.  Nothing interesting, too constrained.
|The worse harmony of the cavemen.
|The worse harmony of the cavemen.
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|[[3edo]]
|[[3edo]]
|This EDO is also quite simple, and relies on the perfect consonance of the octave to obtain resolution, with the dominant harmony consisting only of the two steps surrounding the octave.  Like with 2edo, 3edo does make for good minimalistic harmonic progression, but to use it to its maximum potential requires serious skills, and its limited note palette again ensures that it gets boring rather quickly.
|Elemental augmented type tuning.  Fun for a minute or two, boring after that.  Sounds augmented no matter what you play.
|Elemental augmented type tuning.  Fun for a minute or two, boring after that.  Sounds augmented no matter what you play.
|Augmented chord.
|Augmented chord.
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|[[4edo]]
|[[4edo]]
|This EDO is twice as complicated as 2edo, but no more than that.  Again, it relies on the perfect consonance of the octave to obtain any type of resolution, and the brute force contrast between the antitonic and the tonic makes for good minimalistic harmonic progression.  This time, however the pitch directly above the tonic can be used in conjunction with the tonic and the octave to create a surprisingly decent tonic chord- more of less the exact means of obtaining resolution in the strictest forms of traditional music theory's Locrian mode.  However, given that there are only two other pitch classes to work with, a chord like this is best saved for the end of a piece.  Unlike 2edo, 4edo has more of a melodic structure to work with, but again, this requires skills, and this EDO is liable to get boring rather quickly in the hands of an unskilled composer.
|Elemental diminished type tuning.  Fun for a minute or two, boring after that.  Sounds diminished no matter what you play.
|Elemental diminished type tuning.  Fun for a minute or two, boring after that.  Sounds diminished no matter what you play.
|Diminished chord. It, surprisingly, has interesting melodic movement despite only being four notes.
|Diminished chord. It, surprisingly, has interesting melodic movement despite only being four notes.
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|[[5edo]]
|[[5edo]]
|This EDO is the smallest one commonly used, and is the first one that allows the usage of the fifth above the tonic as part of a resolved tonic harmony, though this admittedly sounds dirty, and furthermore the note a fifth above the dominant acts more like a second than a third in this case.  Thankfully, this EDO doesn't take as much skill to work with as the previous three EDOs, and it is not quite as dissonant in terms of its note palette either.  Beyond this, I can't say much more about this EDO than what has already been said by others who have used it, as the only reason I know beyond what I've mentioned here comes from observations of others' work on this EDO.
|Elemental hyperpent.  You can actually play a couple of melodies in the tuning, but it gets exhausted after an hour or two.  Good tuning for percussive-melodic instruments like gamelan, woodblock, etc., but it can get grating on its own.
|Elemental hyperpent.  You can actually play a couple of melodies in the tuning, but it gets exhausted after an hour or two.  Good tuning for percussive-melodic instruments like gamelan, woodblock, etc., but it can get grating on its own.
|Equipentatonic. Nothing too original.
|Equipentatonic. Nothing too original.
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|[[6edo]]
|[[6edo]]
|This EDO requires a mixture of the aforementioned techniques for 2edo and 3edo for proper harmonizing.  I'd really like to see someone take on this challenge, especially as there are more options for this EDO than for either 2edo or 3edo- particularly in the realm of melody.
|Smallest 2nd order tuning set - augmented in whole steps.  There are a number of possibilities, but trying to create any sort of tonal movement is useless, modality is useless, and overall, it's overconstrained.
|Smallest 2nd order tuning set - augmented in whole steps.  There are a number of possibilities, but trying to create any sort of tonal movement is useless, modality is useless, and overall, it's overconstrained.
|Whole tone scale. Take out 4\6 and you have a pentatonic subset of the lydian dominant scale.
|Whole tone scale. Take out 4\6 and you have a pentatonic subset of the lydian dominant scale.
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|[[7edo]]
|[[7edo]]
|Um...
|Elemental hypopent.  The experience here is sort of like playing in 5edo, but it's more like a tuning where you have one complete scale to play with.  For me, this is the smallest edo with which I would consider composing.  But it's still overconstrained when it comes to trying to modulate anything.
|Elemental hypopent.  The experience here is sort of like playing in 5edo, but it's more like a tuning where you have one complete scale to play with.  For me, this is the smallest edo with which I would consider composing.  But it's still overconstrained when it comes to trying to modulate anything.
|Equiheptatonic. Again, nothing too original.
|Equiheptatonic. Again, nothing too original.
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|[[8edo]]
|[[8edo]]
|The only things I knew for a fact about this EDO going in were from my understanding of 4edo- namely that the same techniques available in 4edo are also viable here, with the added bonus of being able to use the Locrian-style tonic harmony in other ways due to there being more available pitch contrasts.  It is true that one has to omit the fifth from most chords for harmony in this EDO to be useful, but I have to say I was pleasantly surprised when I found out not only that the antitonic harmony could now be fortified with what is effectively a supermajor third rather than simply another instance of the tonic, but also that the pitch immediately above the antitonic could serve as a good set-up for the antitonic harmony thanks to also having this same supermajor third above the root in the form of the tonic itself.  Suffice to say I now have a new xenharmonic trick up my sleeve.
|kind of a cool diminished scale, but it suffers from the same problems as other drone-like edo's, in terms of options and constraints.
|kind of a cool diminished scale, but it suffers from the same problems as other drone-like edo's, in terms of options and constraints.
|First EDO with some kind of quarter tone interval.
|First EDO with some kind of quarter tone interval.
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|[[9edo]]
|[[9edo]]
|The only things I know for a fact about this EDO come from my understanding of 3edo, as the same techniques available in 3edo are also viable here.  However, I can't say much about the other aspects of this EDO due to lack of other relevant experience on my part.
|3rd order augmented scale.  I want to like this tuning, but I can't see any value in it beyond noodling.
|3rd order augmented scale.  I want to like this tuning, but I can't see any value in it beyond noodling.
|Cool approximation of 7/6. I also consider it something of the parent scale of gamelan music.
|Cool approximation of 7/6. I also consider it something of the parent scale of gamelan music.
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|[[10edo]]
|[[10edo]]
|Um...
|Hyperpent with something resembling the chromatic scale.  This is the smallest edo set that has anything worthwhile to offer.  Constraints are within the critical range where melody, harmony, and chord changes can make some kind of sense.  It's not my favourite edo, but it has its own characteristics.
|Hyperpent with something resembling the chromatic scale.  This is the smallest edo set that has anything worthwhile to offer.  Constraints are within the critical range where melody, harmony, and chord changes can make some kind of sense.  It's not my favourite edo, but it has its own characteristics.
|The first ''actually'' usable EDO. Decent chords & decent melodic ideas. Sevish's ''Vidya'' is a good example of how it can sound.
|The first ''actually'' usable EDO. Decent chords & decent melodic ideas. Sevish's ''Vidya'' is a good example of how it can sound.
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|[[11edo]]
|[[11edo]]
|Um...
|This one is one of the three edo's that don't really fit any distinct category, and it shows.  In my opinion, it's the second most difficult to use.  Lots of possibilities of notes, unlike anything smaller than 9edo, but nothing seems to sound particularly great, not that it sounds particularly awful, either.
|This one is one of the three edo's that don't really fit any distinct category, and it shows.  In my opinion, it's the second most difficult to use.  Lots of possibilities of notes, unlike anything smaller than 9edo, but nothing seems to sound particularly great, not that it sounds particularly awful, either.
|This is probably a good example of where you should use secundal harmony rather than tertial harmony.
|This is probably a good example of where you should use secundal harmony rather than tertial harmony.
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|[[12edo]]
|[[12edo]]
|Finally!  The EDO I have the most extensive experience with.  All my direct, first-hand experience with 1edo, 2edo, 3edo, 4edo and 6edo prior to me finishing this page came about because I have access to a 12edo instrument- my grandmother's piano.  It is also from here that I've taken the bulk of my ideas on tonality- including my idea for Treble-Down tonality.
|Honestly, the best edo.  Not too many notes, not too few.  What notes are there sound great.  It's the lowest composite hypopent, as well as the lowest composite of augmented and diminished.  You can use it to affect major, minor, augmented, and diminished tonalities very well.  The only place it truly falls short is anything beyond that.  It's not too great at approximating higher order harmonics, nor does it offer any neutral intervals.  It'd be sort of silly to think of a beginner musician starting with anything other than this or some form of meantone or JI that 12edo approximates.
|Honestly, the best edo.  Not too many notes, not too few.  What notes are there sound great.  It's the lowest composite hypopent, as well as the lowest composite of augmented and diminished.  You can use it to affect major, minor, augmented, and diminished tonalities very well.  The only place it truly falls short is anything beyond that.  It's not too great at approximating higher order harmonics, nor does it offer any neutral intervals.  It'd be sort of silly to think of a beginner musician starting with anything other than this or some form of meantone or JI that 12edo approximates.
|I probably shouldn't have listed this.
|I probably shouldn't have listed this.
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|[[13edo]]
|[[13edo]]
|Um...
|To me, this one is the most difficult edo to bend to my will.  Like 11edo, it doesn't fit any category, but the tones all just sound off to me.
|To me, this one is the most difficult edo to bend to my will.  Like 11edo, it doesn't fit any category, but the tones all just sound off to me.
|Extremely dissonant, but at least the major chord sounds somewhat decent. Not much decent, but its better than nothing.
|Extremely dissonant, but at least the major chord sounds somewhat decent. Not much decent, but its better than nothing.
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|[[14edo]]
|[[14edo]]
|Um...
|2nd order hypopent.  It's like the scale from 7edo has some different colours added to its palette.  Not super easy to wield, but it does have a nice spacey sound that makes sense to the ears in a weird way.
|2nd order hypopent.  It's like the scale from 7edo has some different colours added to its palette.  Not super easy to wield, but it does have a nice spacey sound that makes sense to the ears in a weird way.
|Cool chords. People say that its really dissonant, but I don't hear anything out of the ordinary.
|Cool chords. People say that its really dissonant, but I don't hear anything out of the ordinary.
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|[[15edo]]
|[[15edo]]
|Um...
|3rd order hyperpent, also with the augmented tonalities pasted in.  Perhaps one of the most user-friendly edo's, it has a lot to offer, but also makes composers accustomed to 12edo think outside of the box.
|3rd order hyperpent, also with the augmented tonalities pasted in.  Perhaps one of the most user-friendly edo's, it has a lot to offer, but also makes composers accustomed to 12edo think outside of the box.
|Probably the most popular small EDO. Great chords, good approximation of 6/5, and supports some nice temperaments. Also I kinda introduced Weigel to a Hanson keyboard, and then he made it into his keyboard, so I feel a little happy about telling him about that.
|Probably the most popular small EDO. Great chords, good approximation of 6/5, and supports some nice temperaments. Also I kinda introduced Weigel to a Hanson keyboard, and then he made it into his keyboard, so I feel a little happy about telling him about that.
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|[[16edo]]
|[[16edo]]
|Um...
|diminished mayhem with extra mayhem.  Check out Last Sacrament to see what this bad boy can do.  It's not super user-friendly, in my experience, but it has a distinct sound that seems to pervade everything you can put together within its constraints.
|diminished mayhem with extra mayhem.  Check out Last Sacrament to see what this bad boy can do.  It's not super user-friendly, in my experience, but it has a distinct sound that seems to pervade everything you can put together within its constraints.
|Chromatic version of 9EDO's mavila. Also cool approximation of 7/4.
|Chromatic version of 9EDO's mavila. Also cool approximation of 7/4.
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|[[17edo]]
|[[17edo]]
|Um...
|Totally awesome composite hyperpent.  Great fifths, it can sound maqam-ish or western-ish, depending on how you use it.  So many possibilities.
|Totally awesome composite hyperpent.  Great fifths, it can sound maqam-ish or western-ish, depending on how you use it.  So many possibilities.
|The smallest EDO with more consonant harmony than the previous ones.
|The smallest EDO with more consonant harmony than the previous ones.
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|[[18edo]]
|[[18edo]]
|Um...
|Augmented scale sliced into thirds.  Doesn't really offer any sort of semblance of a perfect fourth or fifth, but doesn't seem to be a one-trick pony, either.  I'm just not sure what to do with it.
|Augmented scale sliced into thirds.  Doesn't really offer any sort of semblance of a perfect fourth or fifth, but doesn't seem to be a one-trick pony, either.  I'm just not sure what to do with it.
|Nothing particularly interesting in this.
|Nothing particularly interesting in this.
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|[[19edo]]
|[[19edo]]
|Um...
|This is my personal favourite.  Composite hypopent, awesome thirds and sixths and a decent fourth and fifth.  Kind of leaves somethign to be desired with sevenths and seconds/ninths.  Can play well within the western music idiom, and has plenty of tonal options outside of that, but doesn't really offer any of the cool maqam-esque tones of 17edo or any of the weird spacey tones of 14edo.  I really think this should be the intermediate step between "standard tuning" (whatever you consider that to be) and "xenharmonic tuning" (whatever you consider that to be).  This really sits between those two ideas for me.
|This is my personal favourite.  Composite hypopent, awesome thirds and sixths and a decent fourth and fifth.  Kind of leaves somethign to be desired with sevenths and seconds/ninths.  Can play well within the western music idiom, and has plenty of tonal options outside of that, but doesn't really offer any of the cool maqam-esque tones of 17edo or any of the weird spacey tones of 14edo.  I really think this should be the intermediate step between "standard tuning" (whatever you consider that to be) and "xenharmonic tuning" (whatever you consider that to be).  This really sits between those two ideas for me.
|The smallest EDO with a really nice meantone fifth. I consider this the smallest EDO to use if you want to make pop music into microtonal music.
|The smallest EDO with a really nice meantone fifth. I consider this the smallest EDO to use if you want to make pop music into microtonal music.
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|[[20edo]]
|[[20edo]]
|Um...
|Hyperpent.  On paper, it looks okay, but seems really difficult to use musically.
|Hyperpent.  On paper, it looks okay, but seems really difficult to use musically.
|Nothing particularly interesting.
|Nothing particularly interesting.
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|[[21edo]]
|[[21edo]]
|Um...
|Excellent composite hyperpent tuning.  Tons and tons of possibilities with western-esque and raga-esque tones.  Notation starts getting more difficult than 17edo or 19edo.
|Excellent composite hyperpent tuning.  Tons and tons of possibilities with western-esque and raga-esque tones.  Notation starts getting more difficult than 17edo or 19edo.
|Its cool, but again, nothing particularly interesting.
|Its cool, but again, nothing particularly interesting.
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|[[22edo]]
|[[22edo]]
|Um...
|Excellent composite hyperpent tuning.  Tons and tons of possibilities with western-esque and raga-esque tones.  Notation starts getting more difficult than 17edo or 19edo.
|Excellent composite hyperpent tuning.  Tons and tons of possibilities with western-esque and raga-esque tones.  Notation starts getting more difficult than 17edo or 19edo.
|Smallest cool superpyth EDO. I think there's orwell in there, too, but don't quote me on that.
|Smallest cool superpyth EDO. I think there's orwell in there, too, but don't quote me on that.
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|[[23edo]]
|[[23edo]]
|Um...
|This one defies my categorization as well as 11edo and 13edo, but with so many options for notes, maybe there is something there.  I haven't really deemed this one worth much time investigating.  To my ears, after playing with it for a couple of minutes, everything just sounds off, but not weird enough to pique my interest.
|This one defies my categorization as well as 11edo and 13edo, but with so many options for notes, maybe there is something there.  I haven't really deemed this one worth much time investigating.  To my ears, after playing with it for a couple of minutes, everything just sounds off, but not weird enough to pique my interest.
|Hyperchromatic version of 9EDO's mavila.
|Hyperchromatic version of 9EDO's mavila.
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|[[24edo]]
|[[24edo]]
|This EDO served as my first personal foray into the world of microtonality.  It is also from here that I learned what I have about the 11-limit.
|This is where almost everyone outside of the xenharmonic community sends their minds when you mention "microtonal music."  It's used in traditional maqam music.  I've personally used it myself a bit, but, in my opinion, what gets added to 12edo is fairly limited.  It opens up a couple of new worlds of a few consonant intervals that play really well with familiar ones, and also some really skunky dissonant ones that drive the neighbours crazy.  But it's definitely not what I recommend for beginning a journey into alternative tuning.
|This is where almost everyone outside of the xenharmonic community sends their minds when you mention "microtonal music."  It's used in traditional maqam music.  I've personally used it myself a bit, but, in my opinion, what gets added to 12edo is fairly limited.  It opens up a couple of new worlds of a few consonant intervals that play really well with familiar ones, and also some really skunky dissonant ones that drive the neighbours crazy.  But it's definitely not what I recommend for beginning a journey into alternative tuning.
|12EDO, but fancy.
|12EDO, but fancy.
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|[[25edo]]
|[[25edo]]
|Um...
|Hyperpent.  Not really sure what to do with it, honestly.  I'd rather use 22edo.
|Hyperpent.  Not really sure what to do with it, honestly.  I'd rather use 22edo.
|Great approximation of 5/4, but its another hyperchromatic version of 9EDO's mavila.
|Great approximation of 5/4, but its another hyperchromatic version of 9EDO's mavila.
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|[[26edo]]
|[[26edo]]
|Um...
|Composite hypopent.  This has some really cool possibilities and some pretty good consonant intervals, but doesn't seem (in my experience) to get too much love from xenharmonic composers.  Dave Trombly has done some text-to-music stuff with it that shows how even randomly-generated notes and intervals sound quite musical, but other than that, I haven't really come across any in-depth projects exploring it.  My own noodling around with it makes me think that it'd be pretty easy to use.  Maybe there are better options for many specific approaches, though.
|Composite hypopent.  This has some really cool possibilities and some pretty good consonant intervals, but doesn't seem (in my experience) to get too much love from xenharmonic composers.  Dave Trombly has done some text-to-music stuff with it that shows how even randomly-generated notes and intervals sound quite musical, but other than that, I haven't really come across any in-depth projects exploring it.  My own noodling around with it makes me think that it'd be pretty easy to use.  Maybe there are better options for many specific approaches, though.
|The step-sibling of the meantone series. Its twice of 13EDO though, so the closest approximation of 5/4 is still trash. 14/11 is cool, though, so lets use that.
|The step-sibling of the meantone series. Its twice of 13EDO though, so the closest approximation of 5/4 is still trash. 14/11 is cool, though, so lets use that.
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|[[27edo]]
|[[27edo]]
|Um...
|Comte hyperpent.  Another one with tons of usable tonal possibilities that seems to get little actual use.
|Comte hyperpent.  Another one with tons of usable tonal possibilities that seems to get little actual use.
|Amazing approximations of intervals like 7/6, 6/5, 5/4 (but its the same as 12EDO), 3/2, 5/3, and 7/4. Its weird how it manages to work this much with being a power of 3.
|Amazing approximations of intervals like 7/6, 6/5, 5/4 (but its the same as 12EDO), 3/2, 5/3, and 7/4. Its weird how it manages to work this much with being a power of 3.
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|[[28edo]]
|[[28edo]]
|Um...
|Hypopent and diminished, I'm not really sure what else this has to offer other than some funky neutralish intervals and diminished mayhem.
|Hypopent and diminished, I'm not really sure what else this has to offer other than some funky neutralish intervals and diminished mayhem.
|Meh.
|Meh.
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|[[29edo]]
|[[29edo]]
|Um...
|Awesome fifths and great overall set of usable tones with some really unstable-sounding ones in between.  I think this is a great intermediate-difficulty not-too-many-notes-but-kind-of-a-lot tuning set.
|Awesome fifths and great overall set of usable tones with some really unstable-sounding ones in between.  I think this is a great intermediate-difficulty not-too-many-notes-but-kind-of-a-lot tuning set.
|Similar to 27EDO, but this is a bit better since the fifth is a little bit better compared to 27EDO.
|Similar to 27EDO, but this is a bit better since the fifth is a little bit better compared to 27EDO.
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|[[30edo]]
|[[30edo]]
|Um...
|Hyperpent.  Augmented.  Meh, too many seemingly useless intervals.
|Hyperpent.  Augmented.  Meh, too many seemingly useless intervals.
|Meh.
|Meh.
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|[[31edo]]
|[[31edo]]
|Um...
|This is sort of the gold standard of meantone tuning.  Composite hypopent.  Great thirds and fifths and everything else used to make western-esque music, and also some really nifty other spicier options.  Very user-friendly.  If you start with 12edo and go to 19edo and like it, this would be the obvious next recommendation.  My only complaint here is that we are starting to get into the territory of having too many notes to easily perform on a guitar or standard black-and-white-key two row keyboard.  Going with subsets at this point is beneficial, but those provide new challenges.
|This is sort of the gold standard of meantone tuning.  Composite hypopent.  Great thirds and fifths and everything else used to make western-esque music, and also some really nifty other spicier options.  Very user-friendly.  If you start with 12edo and go to 19edo and like it, this would be the obvious next recommendation.  My only complaint here is that we are starting to get into the territory of having too many notes to easily perform on a guitar or standard black-and-white-key two row keyboard.  Going with subsets at this point is beneficial, but those provide new challenges.
|Meantone quarter tones.
|Meantone quarter tones.
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|[[32edo]]
|[[32edo]]
|Um...
|Composite hyperpent.  Diminished.  Kind of user-antagonistic on first impression.  Not picking up anything of striking value.
|Composite hyperpent.  Diminished.  Kind of user-antagonistic on first impression.  Not picking up anything of striking value.
|Same as 27 & 29EDO, but the fifth now is sharper than 27EDO.
|Same as 27 & 29EDO, but the fifth now is sharper than 27EDO.
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|[[33edo]]
|[[33edo]]
|Um...
|Composite hypopent.  Augmented.  Same impression as 32edo, except maybe even less valuable.
|Composite hypopent.  Augmented.  Same impression as 32edo, except maybe even less valuable.
|11EDO, but with a better fifth.
|11EDO, but with a better fifth.
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|[[34edo]]
|[[34edo]]
|Um...
|Composite hyperpent.  Offers the same as 17edo, except more stable modal tones.  This one is a gem.  I have no idea how to handle notation, though, but it's one of the most useful.
|Composite hyperpent.  Offers the same as 17edo, except more stable modal tones.  This one is a gem.  I have no idea how to handle notation, though, but it's one of the most useful.
|17EDO, but now there's a good third.
|17EDO, but now there's a good third.
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|[[35edo]]
|[[35edo]]
|Um...
|Smallest amphipent edo (both hyperpent and hypopent).
|Smallest amphipent edo (both hyperpent and hypopent).
|You either get 5EDO or 7EDO, there is no middle.
|You either get 5EDO or 7EDO, there is no middle.
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|[[36edo]]
|[[36edo]]
|Um...
|12edo slashed into thirds.
|12edo slashed into thirds.
|12EDO, but better.
|12EDO, but better.
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|[[37edo]]
|[[37edo]]
|Um...
|Amphipent with a lot of notes.
|Amphipent with a lot of notes.
|Same situation as 35EDO, but the 5EDO fifth is now just a superpyth fifth. Also good approximations of intervals.
|Same situation as 35EDO, but the 5EDO fifth is now just a superpyth fifth. Also good approximations of intervals.
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|[[38edo]]
|[[38edo]]
|Um...
|19edo slashed into halves.
|19edo slashed into halves.
|Meh.
|Meh.
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|[[39edo]]
|[[39edo]]
|Um...
|Hyperpent augmented with a lot of notes.
|Hyperpent augmented with a lot of notes.
|You either get mavila or superpyth, there is no middle.
|You either get mavila or superpyth, there is no middle.
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|[[40edo]]
|[[40edo]]
|Um...
|Amphipent diminished.  Can't really find a good use for this one.
|Amphipent diminished.  Can't really find a good use for this one.
|Meh.
|Meh.
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|[[41edo]]
|[[41edo]]
|Um...
|Lots of notes, but all of the bases seem to be covered.  Probably the only edo between 35 and 49 worth all of the trouble of dealing with so many notes.
|Lots of notes, but all of the bases seem to be covered.  Probably the only edo between 35 and 49 worth all of the trouble of dealing with so many notes.
|Smaller version of 53EDO.
|Smaller version of 53EDO.
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|[[42edo]]
|[[42edo]]
|Um...
|Amphipent augmented.
|Amphipent augmented.
|You either get 7EDO or superpyth, there is no middle.
|You either get 7EDO or superpyth, there is no middle.
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|[[43edo]]
|[[43edo]]
|Um...
|Hypopent composite.  Looks great on paper, but is a lot of notes and is either difficult to use or perhaps not as good in practice as it ought to be.
|Hypopent composite.  Looks great on paper, but is a lot of notes and is either difficult to use or perhaps not as good in practice as it ought to be.
|The other step-sibling of meantone.
|The other step-sibling of meantone.
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|[[44edo]]
|[[44edo]]
|Um...
|Amphipent diminished.
|Amphipent diminished.
|Meh.
|Meh.
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|[[45edo]]
|[[45edo]]
|Um...
|Amphipent augmented.
|Amphipent augmented.
|Meh.
|Meh.
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|[[46edo]]
|[[46edo]]
|Um...
|Hyperpent composite.  Same thing where it looks great on paper, but I feel underwhelmed noodling around with it.
|Hyperpent composite.  Same thing where it looks great on paper, but I feel underwhelmed noodling around with it.
|You either get 5EDO or 7EDO, but there is a middle.
|You either get 5EDO or 7EDO, but there is a middle.
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|[[47edo]]
|[[47edo]]
|Um...
|Amphipent augmented.
|Amphipent augmented.
|You either get 7EDO or superpyth, but there's a nice third.
|You either get 7EDO or superpyth, but there's a nice third.
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|[[48edo]]
|[[48edo]]
|Um...
|12edo eighth-tones.
|12edo eighth-tones.
|12EDO, but more fancy.
|12EDO, but more fancy.
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|[[49edo]]
|[[49edo]]
|Um...
|Amphipent with two different choices of crummy fifths.  Not really obviously useful, in my opinion.
|Amphipent with two different choices of crummy fifths.  Not really obviously useful, in my opinion.
|Meh.
|Meh.
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|[[50edo]]
|[[50edo]]
|Um...
|This is a great option for meantone.  Notations seems to be less of a pain, but 53edo is almost better in every way.
|This is a great option for meantone.  Notations seems to be less of a pain, but 53edo is almost better in every way.
|I consider this an optimal meantone EDO, due to a wealthy collection of notes here.
|I consider this an optimal meantone EDO, due to a wealthy collection of notes here.
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|[[51edo]]
|[[51edo]]
|Um...
|Not as versatile as 50edo.
|Not as versatile as 50edo.
|Meh.
|Meh.
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|[[52edo]]
|[[52edo]]
|Um...
|Not as versatile as 51edo.
|Not as versatile as 51edo.
|Meh.
|Meh.
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|[[53edo]]
|[[53edo]]
|Most of my experience with this EDO comes from my current experiments with 159edo, and this will likely continue to be the case since this edo doesn't have good approximations of the 11-limit.
|Generally the stopping point.  If you are comfortable with >50 tones, then this tuning offers almost everything you will need.  If not, stick with 31edo or something smaller.
|Generally the stopping point.  If you are comfortable with >50 tones, then this tuning offers almost everything you will need.  If not, stick with 31edo or something smaller.
|JI: The Book.
|JI: The Book.
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|[[59edo]]
|[[59edo]]
|Um...
|Seems to have some interesting options, but it's a lot of notes, and other neighbouring edo's can do some more versatile things.
|Seems to have some interesting options, but it's a lot of notes, and other neighbouring edo's can do some more versatile things.
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|[[60edo]]
|[[60edo]]
|Um...
|12edo, with each note sliced into five pieces.  Not a bad option, except for the myriad of notes to navigate.
|12edo, with each note sliced into five pieces.  Not a bad option, except for the myriad of notes to navigate.
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|[[65edo]]
|[[65edo]]
|Um...
|There are so many tonal options, but many of them are very useful.  Maybe this could rival 53edo for versatility.  There are some limitations, though.
|There are so many tonal options, but many of them are very useful.  Maybe this could rival 53edo for versatility.  There are some limitations, though.
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|[[84edo]]
|[[84edo]]
|Um...
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|[[87edo]]
|[[87edo]]
|Um...
|29edo with each interval sliced into three.  You can do some nifty stuff with it, but the number of notes is too crazy to cover much with midi unless you choose a subset.  Pushing a continuum beyond this.
|29edo with each interval sliced into three.  You can do some nifty stuff with it, but the number of notes is too crazy to cover much with midi unless you choose a subset.  Pushing a continuum beyond this.
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|[[94edo]]
|Surprisingly, I have attempted to use this EDO before.  I've noticed just from working out the JI intervals that this EDO approximates that the 7-limit for this edo is really good- better than what this edo has to offer in the 5-limit.  Furthermore, all of the pitches in this edo are connected by a single, complicated circle of fifths.  It is from working with this EDO that I learned the ways that the paradiatonic prime-limits (that would be the 7-limit, the 11-limit, and the 13-limit) are connected with each other.
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|[[159edo]]
|This is the best EDO I've worked with, hands down.  I'm still working out the JI equivalents of the various steps of this EDO, and I'm looking forward to more work with this EDO in the future.
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