Xenharmonic Wiki

User:CritDeathX/Sam's Permutations: Difference between revisions

← Older edit
VisualWikitext
CritDeathX (talk | contribs)
autopatrolled, emailconfirmed
398 edits
No edit summary
CritDeathX (talk | contribs)
autopatrolled, emailconfirmed
398 edits
No edit summary
 
Line 1,339: Line 1,339:
For example, taking the 38th row for the 2nd scale and the 24th row for the 3rd scale & combining them, we get [https://sevish.com/scaleworkshop/?name=&data=3%5C27%0A8%5C27%0A11%5C27%0A14%5C27%0A16%5C27%0A19%5C27%0A24%5C27%0A25%5C27%0A27%5C27&freq=440&midi=69&vert=9&horiz=1&colors=&waveform=triangle&ampenv=organ a nonatonic scale].  Taking the 19th row for the 1st scale and the 56th row for the 4th scale and combining them gives you [https://sevish.com/scaleworkshop/?name=&data=3%5C27%0A5%5C27%0A8%5C27%0A9%5C27%0A11%5C27%0A14%5C27%0A16%5C27%0A22%5C27%0A27%5C27&freq=440&midi=69&vert=9&horiz=1&colors=&waveform=triangle&ampenv=organ another nonatonic scale]. Pretty neat! (though the 2nd scale could probably do better with a different mode, but hey)
For example, taking the 38th row for the 2nd scale and the 24th row for the 3rd scale & combining them, we get [https://sevish.com/scaleworkshop/?name=&data=3%5C27%0A8%5C27%0A11%5C27%0A14%5C27%0A16%5C27%0A19%5C27%0A24%5C27%0A25%5C27%0A27%5C27&freq=440&midi=69&vert=9&horiz=1&colors=&waveform=triangle&ampenv=organ a nonatonic scale].  Taking the 19th row for the 1st scale and the 56th row for the 4th scale and combining them gives you [https://sevish.com/scaleworkshop/?name=&data=3%5C27%0A5%5C27%0A8%5C27%0A9%5C27%0A11%5C27%0A14%5C27%0A16%5C27%0A22%5C27%0A27%5C27&freq=440&midi=69&vert=9&horiz=1&colors=&waveform=triangle&ampenv=organ another nonatonic scale]. Pretty neat! (though the 2nd scale could probably do better with a different mode, but hey)


You can already imagine about the modes of these pentatonic scales, including all the scales that could be made from combining them and the modes within. I don't know how many scales you can make from this, but I can only imagine its a lot. I imagine a bigger graph can be made for finding the modes of each of the dipentatonic scales to possibly find more pentatonics from it. I might actually do that soon.
== The Dipentatonic Permutations ==
Now, this is where we do something akin to [[Erv Wilson|Wilson]]'s [http://anaphoria.com/xen9mar.pdf Marwa Permutations]. We're going to have four different graphs for this, since I imagine each scale has a different chain of the generic interval. I will also be using the ^v notation for 27EDO.


Its crazy what simple things can do to a scale.
I'll admit, I'm not gonna list out all the premutations for each of these scales, cause I'm kinda lazy, so enjoy what I have for now.
 
=== 1; fifth ===
{| class="wikitable"
|''5''
|''vv5''
|''5''
|''^b5''
|''vv5''
|''vv5''
|''5''
|''^b5''
|''5''
|-
|5
|5
|vv5
|^b5
|vv5
|vv5
|5
|^b5
|''5''
|-
|5
|5
|^b5
|vv5
|vv5
|vv5
|5
|^b5
|''5''
|-
|5
|5
|^b5
|vv5
|vv5
|5
|vv5
|^b5
|''5''
|-
|5
|5
|^b5
|vv5
|vv5
|5
|^b5
|vv5
|''5''
|-
|vv5
|5
|5
|^b5
|vv5
|vv5
|5
|^b5
|''5''
|-
|5
|vv5
|5
|vv5
|^b5
|vv5
|5
|^b5
|''5''
|-
|5
|vv5
|5
|vv5
|vv5
|^b5
|5
|^b5
|''5''
|-
|5
|vv5
|5
|vv5
|vv5
|5
|^b5
|^b5
|''5''
|-
|^b5
|5
|vv5
|5
|vv5
|vv5
|5
|^b5
|''5''
|-
|5
|^b5
|vv5
|5
|vv5
|vv5
|5
|^b5
|''5''
|-
|5
|vv5
|^b5
|5
|vv5
|vv5
|5
|^b5
|''5''
|-
|5
|vv5
|5
|^b5
|vv5
|5
|vv5
|^b5
|''5''
|-
|5
|vv5
|5
|^b5
|vv5
|5
|^b5
|vv5
|''5''
|-
|vv5
|5
|vv5
|5
|^b5
|vv5
|5
|^b5
|''5''
|-
|5
|vv5
|vv5
|5
|^b5
|vv5
|5
|^b5
|''5''
|-
|5
|vv5
|5
|vv5
|^b5
|vv5
|5
|^b5
|''5''
|-
|^b5
|5
|vv5
|5
|^b5
|vv5
|vv5
|5
|''5''
|-
|5
|^b5
|vv5
|5
|^b5
|vv5
|vv5
|5
|''5''
|-
|5
|vv5
|^b5
|5
|^b5
|vv5
|vv5
|5
|''5''
|-
|5
|vv5
|5
|^b5
|^b5
|vv5
|vv5
|5
|''5''
|-
|5
|vv5
|5
|^b5
|vv5
|^b5
|vv5
|5
|''5''
|-
|5
|vv5
|5
|^b5
|vv5
|vv5
|^b5
|5
|''5''
|}
 
=== 2; ===
{| class="wikitable"
|
|
|
|
|-
|
|
|
|
|-
|
|
|
|
|}
 
=== 3; ===
{| class="wikitable"
|
|
|
|
|-
|
|
|
|
|-
|
|
|
|
|}
 
=== 4; ===
{| class="wikitable"
|
|
|
|
|-
|
|
|
|
|-
|
|
|
|
|}
Retrieved from "https://en.xen.wiki/w/User:CritDeathX/Sam%27s_Permutations"