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Hello! My name is Andrew and I like screwing around with xenharmony, especially notation.
Hello! My name is Andrew and I like screwing around with xenharmony, especially notation.


Currently experimenting with anti-diatonic stuff like EDOs 9, 11, 13, 16, and 23.
At some point I plan to make a piece similar to [[wikipedia:Twelve_Microtonal_Etudes_for_Electronic_Music_Media|Easley Blackwood's 12 Etudes]] or [https://aaronandrewhunt.bandcamp.com/album/the-equal-tempered-keyboard Aaron Andrew Hunt's Equal-Tempered Keyboard], an "album" experimenting with a range of different EDO systems.


At some point I plan to make a piece similar to [[wikipedia:Twelve_Microtonal_Etudes_for_Electronic_Music_Media|Easley Blackwood's 12 Etudes]] or [https://aaronandrewhunt.bandcamp.com/album/the-equal-tempered-keyboard Aaron Andrew Hunt's Equal-Tempered Keyboard], an "album" experimenting with a range of different EDO systems.
(Just wrote a 20-second piano intro in [[14edo|14-EDO]]--I think I've been thinking about it wrong this whole time!)


'''[https://akahler.w3spaces.com/ I have a website!!]'''
'''[https://akahler.w3spaces.com/ I have a website!!]'''
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==An idea for notation I had ==
==An idea for notation I had ==
Something I noticed in [[Ups and downs notation|regular EDO notation]], relying on Pythagorean names with an extra layer of accidentals, is that the Pythagorean major third in a lot of EDO systems doesn't match the [[5/4|just major third 5/4]]. So, with some thought from Just Intonation notations, I came up with something that I think might be promising.
Something I noticed in [[Ups and downs notation|regular EDO notation]], relying on [[Pythagorean]] names with an extra layer of accidentals, is that the [[81/64|Pythagorean major third]] in a lot of EDO systems doesn't match the [[5/4|just major third 5/4]]. So, with some thought from Just Intonation notations, I came up with something that I think might be promising.


In essence, instead of solely relying on Pythagorean names and arrows for edosteps in between (which can get unwieldy in larger EDOs, e.g. [[72edo#Intervals|72-EDO]]), I considered giving the [[syntonic comma]] priority. If your EDO has a different pitch for the just major third and the Pythagorean major third, then of course, it has a syntonic comma that hasn't been tempered out. This won't change anything for EDOs with a syntonic comma less than or equal to one step, of course, but it could have an effect on even "sharper" systems like 37-EDO.
In essence, instead of solely relying on Pythagorean names and arrows for edosteps in between (which can get unwieldy in larger EDOs, e.g. [[72edo#Intervals|72-EDO]]), I considered giving the [[syntonic comma]] a single symbol instead. That way you can emphasize the [[5-limit]] in your compositions more easily, and it will stay that way when directly read in a different EDO.


The syntonic comma can be represented by a sort of slash-like symbol Bosanquet used in his notation.
If your EDO has a different pitch for the just major third and the Pythagorean major third, then of course, it has a syntonic comma that hasn't been tempered out. This won't change much notation-wise for EDOs with a syntonic comma of 0 or 1 step, of course, but it could have an effect on even "sharper" systems like 37-EDO with a larger comma.


Single edosteps are still notated with arrows: '''^''' and '''v'''.
The syntonic comma can be represented by slashes: '''/''' and '''\'''. Single edosteps are still notated with arrows: '''^''' and '''v'''.


Here's a full example in [[37edo|37-EDO]]:
Here's a full example in [[37edo|37-EDO]]:
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For systems with a negative syntonic comma (most often in anti-diatonic and 7''n''-EDO systems) use ''')''' and '''(''' instead of '''/''' and '''\''', using <u>harmonic notation</u>.
For systems with a negative syntonic comma (most often in sub-meantone systems), use ''')''' and '''(''' instead of '''/''' and '''\'''.
 
Use <u>harmonic notation</u> for anti-diatonic systems.


An example in [[13edo|13-EDO]]:
An example in [[13edo|13-EDO]]:
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''I have also devised custom accidentals for quarter tones in both diatonic and anti-diatonic systems, but the image uploading process is being weird so I'll have to figure that out at some point.''
For systems with describable quarter tones, you can optionally use quarter tone notation. Though for many systems ([[24edo|24]], [[31edo|31]]), the syntonic comma notation makes it redundant; perhaps it could be of use in larger systems like [[41edo|41]], [[48edo|48]], or [[72edo|72]].


== Cloudy scales==
== Cloudy scales==