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TromboneBoi9

Joined 2 May 2023
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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 [[EDO|EDOs]], free [[Just intonation|JI]], and various [[Musical notation|notations]].


Currently experimenting with anti-diatonic stuff like EDOs 9, 11, 13, 16, and 23.
Here's [https://tilde.town/~tromboneboi9/ my website], it's got various things from photos to web-apps as well as scales I've designed.


'''[https://akahler.w3spaces.com/ I have a website!!]'''
Here's [https://tromboneboi9.github.io my GitHub page], where I might put various web-apps and web development projects.


=== An idea for notation I had ===
I also exist on the [https://discord.com/invite/FSF5JFT XA Discord], currently under the alias ''Sir Semiflat''.
Something I noticed in regular EDO notation, using Pythagorean names, is that the major third in a lot of temperaments is no longer the closest the EDO has to the just major third 5/4. So, with some thought from Just Intonation notations, I came up with something that I think might be promising.
<!--
== Xenharmonic Discography ==
As of mid-November 2024 (non-comprehensive)


In essence, instead of solely relying on Pythaogrean names and arrows for edosteps in between (which can get unwieldy in larger EDOs), 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 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.
* '''''Torn Gamelan''''' for solo piano in [[31edo]], 2023
* '''''Apollo's Broken Piano''''' for solo piano in [[7-limit|7-limit just intonation]], 2023
* '''''Chicago Olēka''''' for rock band in [[19edo]], 2023
* '''''A Harmonization of a Microtonal Etude''''' for string quartet in [[24edo]], 2024
-->


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.
== Pages I've contributed to ==


Here's a full example in [[37edo|37-EDO]]:
* [[Harmonic Scale]]
{| class="wikitable mw-collapsible"
* [[HEJI]]
!Steps
!Pythagorean notation
!Old notation
!New notation
|-
|0
|D
|D
|D
|-
|1
|Eb
|Eb
|Eb
|-
|2
|Fb
|^Eb
|^D
|-
|3
|Gbb
|^^Eb
|^Eb
|-
|4
|Bx
|vvD#
|vD#
|-
|5
|Cx
|vD#
|vE
|-
|6
|D#
|D#
|D#
|-
|7
|E
|E
|E
|-
|8
|F
|F
|F
|-
|9
|Gb
|Gb
|Gb
|-
|10
|Abb
|^Gb
|^F
|-
|11
|Bbbb
|^^Gb
|^Gb
|-
|12
|Dx
|vvF#
|vF#
|-
|13
|E#
|vF#
|vG
|-
|14
|F#
|F#
|F#
|-
|15
|G
|G
|G
|-
|16
|Ab
|Ab
|Ab
|-
|17
|Bbb
|^Ab
|^G
|-
|18
|Cbb
|^^Ab
|^Ab
|-
|19
|Ex
|vvG#
|vG#
|-
|20
|Fx
|vG#
|vA
|-
|21
|G#
|G#
|G#
|-
|22
|A
|A
|A
|-
|23
|Bb
|Bb
|Bb
|-
|24
|Cb
|^Bb
|^A
|-
|25
|Dbb
|^^Bb
|vBb
|-
|26
|F#x
|vvA#
|^A#
|-
|27
|Gx
|vA#
|vB
|-
|28
|A#
|A#
|A#
|-
|29
|B
|B
|B
|-
|30
|C
|C
|C
|-
|31
|Db
|Db
|Db
|-
|32
|Ebb
|^Db
|^C
|-
|33
|Fbb
|^^Db
|^Db
|-
|34
|Ax
|vvC#
|vC#
|-
|35
|B#
|vC#
|vD
|-
|36
|C#
|C#
|C#
|-
|37
|D
|D
|D
|}
And for anti-diatonic systems, use '''x''' and '''y''' instead of '''^''' and '''v''', using <u>harmonic notation</u>.


An example in [[13edo|13-EDO]]:
== Subpages ==
{| class="wikitable mw-collapsible"
!Steps
!Pythagorean/old notation
!26-EDO Subset
!New notation
|-
|0
|D
|D
|D
|-
|1
|E
|Dx, Ebb
|E, xC
|-
|2
|Eb
|E
|Eb, xD
|-
|3
|Fx
|Ex, Fb
|xE, yF
|-
|4
|F#
|F#
|F#, yG
|-
|5
|F
|Gb
|F, yA
|-
|6
|G
|G#
|G, yB
|-
|7
|A
|Ab
|A, xF
|-
|8
|B
|A#
|B, xG
|-
|9
|Bb
|Bb
|Bb, xA
|-
|10
|Cx
|B#
|xB, yC
|-
|11
|C#
|C
|C#, yD
|-
|12
|C
|Cx, Dbb
|C, yE
|-
|13
|D
|D
|D
|}


=== Cloudy scales ===
{{Special:PrefixIndex/User:TromboneBoi9/}}
I don't know about you, but I love the seventh harmonic. These scales are named after the [[cloudy comma]].
 
'''''Cumulus Alpha''''' is a 5L6s [[MOS]] with [[7/4]] as the generator and [[2/1]] as the period. This appears to approximate a subset of [[26edo|26-EDO]]; it approximates the whole of 26-EDO when extended to a 5L21s MOS, which I dub '''''Cumulus Holo-Alpha'''''.
{| class="wikitable mw-collapsible"
!Steps
!Ratio
!Cents
!Approx. 26-EDO Degree
|-
|0
|1/1
|0.000
|0
|-
|1
|16807/16384
|43.130
|1
|-
|2
|8/7
|231.174
|5
|-
|3
|2401/2048
|275.304
|6
|-
|4
|64/49
|462.348
|10
|-
|5
|343/256
|506.478
|11
|-
|6
|512/343
|693.522
|15
|-
|7
|49/32
|737.652
|16
|-
|8
|4096/2401
|924.696
|20
|-
|9
|7/4
|968.826
|21
|-
|10
|32768/16807
|1155.870
|25
|-
|11
|2/1
|1200.000
|26
|}
'''''Cumulus Beta''''' is an 4L5s MOS with [[7/6]] as the generator and [[2/1]] as the period. Amazingly, it approximates all intervals of [[9edo|9-EDO]] within a cent!
{| class="wikitable mw-collapsible"
!Steps
!Ratio
!Cents
!9-EDO Difference
|-
|0
|1/1
|0.000
|0.000
|-
|1
|2592/2401
|132.516
| -0.817
|-
|2
|7/6
|266.871
|0.204
|-
|3
|432/343
|399.387
| -0.613
|-
|4
|49/36
|533.742
|0.409
|-
|5
|72/49
|666.258
| -0.409
|-
|6
|343/216
|800.613
|0.613
|-
|7
|12/7
|933.129
| -0.204
|-
|8
|2401/1296
|1067.484
|0.817
|-
|9
|7/4
|1200.000
|0.000
|}
'''''Cumulus Gamma''''' is an 3L8s MOS with [[9/7]] as the generator and [[2/1]] as the period. It approximates all intervals of [[11edo|11-EDO]] within 10 cents.
{| class="wikitable mw-collapsible"
!Steps
!Ratio
!Cents
!11-EDO Difference
|-
|0
|1/1
|0.000
|0.000
|-
|1
|729/686
|105.252
|3.839
|-
|2
|67228/59049
|224.580
| -6.398
|-
|3
|98/81
|329.832
| -2.559
|-
|4
|9/7
|435.084
|1.280
|-
|5
|6561/4802
|540.336
|5.119
|-
|6
|9604/6561
|659.664
| -5.119
|-
|7
|14/9
|764.916
| -1.280
|-
|8
|81/49
|870.168
|2.559
|-
|9
|59049/33614
|975.420
|6.398
|-
|10
|1372/729
|1094.748
| -3.839
|-
|11
|2/1
|1200.000
|0.000
|}
Retrieved from "https://en.xen.wiki/w/User:TromboneBoi9"