User:TromboneBoi9: Difference between revisions

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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.

In essence, instead of solely relying on ~~Pythaogrean~~ names and arrows for edosteps in between (which can get unwieldy in larger EDOs, e.g. [[72edo#Intervals|72-EDO]]), I considered making the arrow represent the [[syntonic comma]] instead. 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 making the arrow represent the [[syntonic comma]] instead. 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.

For single edosteps, we can instead use a sort of slash-like symbol Bosanquet used in his notation~~, and perhaps stack them on top of each other to use less horizontal space~~.

For single edosteps, we can instead use a sort of slash-like symbol Bosanquet used in his notation.

Here's a full example in [[37edo|37-EDO]]:

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|D

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''I have also devised custom accidentals for ~~quartertones~~ 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.''

''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.''

== Cloudy scales==

@@ Line 12: / Line 12: @@
 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.
-In essence, instead of solely relying on Pythaogrean names and arrows for edosteps in between (which can get unwieldy in larger EDOs, e.g. [[72edo#Intervals|72-EDO]]), I considered making the arrow represent the [[syntonic comma]] instead. 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 making the arrow represent the [[syntonic comma]] instead. 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.
-For single edosteps, we can instead use a sort of slash-like symbol Bosanquet used in his notation, and perhaps stack them on top of each other to use less horizontal space.
+For single edosteps, we can instead use a sort of slash-like symbol Bosanquet used in his notation.
 Here's a full example in [[37edo|37-EDO]]:
@@ Line 292: / Line 292: @@
 |D
 |}
-''I have also devised custom accidentals for quartertones 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.''
+''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.''
 == Cloudy scales==