TromboneBoi9
Joined 2 May 2023
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I also exist on the [https://discord.com/invite/FSF5JFT XA Discord], currently under the alias ''Sir Semiflat''. | I also exist on the [https://discord.com/invite/FSF5JFT XA Discord], currently under the alias ''Sir Semiflat''. | ||
<u>Keep in mind that I have constantly been making changes to this page, so I could have made a lot of mistakes here.</u> | |||
==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 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 | 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. | ||
The syntonic comma can be represented by a sort of slash-like symbol Bosanquet used in his notation. | |||
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]]: | ||
| Line 36: | Line 40: | ||
|Fb | |Fb | ||
|^Eb | |^Eb | ||
| | |/D | ||
|- | |- | ||
|3 | |3 | ||
|Gbb | |Gbb | ||
|^^Eb | |^^Eb | ||
| | |/Eb | ||
|- | |- | ||
|4 | |4 | ||
|Bx | |Bx | ||
|vvD# | |vvD# | ||
| | |\D# | ||
|- | |- | ||
|5 | |5 | ||
|Cx | |Cx | ||
|vD# | |vD# | ||
| | |\E | ||
|- | |- | ||
|6 | |6 | ||
| Line 76: | Line 80: | ||
|Abb | |Abb | ||
|^Gb | |^Gb | ||
| | |/F | ||
|- | |- | ||
|11 | |11 | ||
|Bbbb | |Bbbb | ||
|^^Gb | |^^Gb | ||
| | |/Gb | ||
|- | |- | ||
|12 | |12 | ||
|Dx | |Dx | ||
|vvF# | |vvF# | ||
| | |\F# | ||
|- | |- | ||
|13 | |13 | ||
|E# | |E# | ||
|vF# | |vF# | ||
| | |\G | ||
|- | |- | ||
|14 | |14 | ||
| Line 111: | Line 115: | ||
|Bbb | |Bbb | ||
| ^Ab | | ^Ab | ||
| | |/G | ||
|- | |- | ||
|18 | |18 | ||
|Cbb | |Cbb | ||
|^^Ab | |^^Ab | ||
| | | /Ab | ||
|- | |- | ||
| 19 | | 19 | ||
| Ex | | Ex | ||
|vvG# | |vvG# | ||
| | |\G# | ||
|- | |- | ||
|20 | |20 | ||
|Fx | |Fx | ||
|vG# | |vG# | ||
| | | \A | ||
|- | |- | ||
|21 | |21 | ||
| Line 146: | Line 150: | ||
|Cb | |Cb | ||
|^Bb | |^Bb | ||
| | |/A | ||
|- | |- | ||
|25 | |25 | ||
|Dbb | |Dbb | ||
|^^Bb | |^^Bb | ||
| | |\Bb | ||
|- | |- | ||
|26 | |26 | ||
|F#x | |F#x | ||
|vvA# | |vvA# | ||
| | |\A# | ||
|- | |- | ||
|27 | |27 | ||
|Gx | |Gx | ||
|vA# | |vA# | ||
| | |\B | ||
|- | |- | ||
|28 | |28 | ||
| Line 186: | Line 190: | ||
|Ebb | |Ebb | ||
|^Db | |^Db | ||
| | |/C | ||
|- | |- | ||
|33 | |33 | ||
|Fbb | |Fbb | ||
|^^Db | |^^Db | ||
| | |/Db | ||
|- | |- | ||
|34 | |34 | ||
|Ax | |Ax | ||
|vvC# | |vvC# | ||
| | |\C# | ||
|- | |- | ||
|35 | |35 | ||
|B# | |B# | ||
|vC# | |vC# | ||
| | |\D | ||
|- | |- | ||
|36 | |36 | ||
| Line 213: | Line 217: | ||
|D | |D | ||
|} | |} | ||
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>. | |||
An example in [[13edo|13-EDO]]: | An example in [[13edo|13-EDO]]: | ||
| Line 230: | Line 234: | ||
|E | |E | ||
|Dx, Ebb | |Dx, Ebb | ||
|E, | |E, )C | ||
|- | |- | ||
|2 | |2 | ||
|Eb | |Eb | ||
| E | | E | ||
|Eb, | |Eb, )D | ||
|- | |- | ||
|3 | |3 | ||
|Fx | |Fx | ||
|Ex, Fb | |Ex, Fb | ||
| | |)E, (F | ||
|- | |- | ||
|4 | |4 | ||
|F# | |F# | ||
|F# | |F# | ||
| F#, | | F#, (G | ||
|- | |- | ||
| 5 | | 5 | ||
|F | |F | ||
|Gb | |Gb | ||
|F, | |F, (A | ||
|- | |- | ||
| 6 | | 6 | ||
|G | |G | ||
|G# | |G# | ||
|G, | |G, (B | ||
|- | |- | ||
|7 | |7 | ||
|A | |A | ||
|Ab | |Ab | ||
|A, | |A, )F | ||
|- | |- | ||
|8 | |8 | ||
|B | |B | ||
| A# | | A# | ||
|B, | |B, )G | ||
|- | |- | ||
|9 | |9 | ||
|Bb | |Bb | ||
|Bb | |Bb | ||
| Bb, | | Bb, )A | ||
|- | |- | ||
|10 | |10 | ||
|Cx | |Cx | ||
|B# | |B# | ||
| | |)B, (C | ||
|- | |- | ||
|11 | |11 | ||
|C# | |C# | ||
|C | |C | ||
|C#, | |C#, (D | ||
|- | |- | ||
|12 | |12 | ||
|C | |C | ||
|Cx, Dbb | |Cx, Dbb | ||
|C, | |C, (E | ||
|- | |- | ||
|13 | |13 | ||