Xenharmonic Wiki

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

← Older editNewer edit →
VisualWikitext
CritDeathX (talk | contribs)
autopatrolled, emailconfirmed
398 edits
CritDeathX (talk | contribs)
autopatrolled, emailconfirmed
398 edits
No edit summary
Line 1: Line 1:
This is the page that I will use to just splatter my thoughts on; I think most of it will center around notation & regular temperaments. Some things you may see in specific are a notation for 14EDO around Titanium(9), a theory system for Orwell(22), and microtonal marimba layouts.
This is the page that I will use to just splatter my thoughts on; I think most of it will center around notation & regular temperaments.


== Titanium(9) Notation for 14EDO ==
== Titanium(9) Notation for 14EDO ==
Line 1,335: Line 1,335:


c = 34.64258 (-13x)
c = 34.64258 (-13x)
== Ocean Temperament ==
Ocean temperament is the name I give to the 13-limit temperament with a generator of a slightly sharp 6/5 that tempers out [[100/99]], 875/864, 21875/21384, etc. Two generators give 16/11, three give 7/4, and five give 14/11.
Using a scale tree, you can find EDOs that support this generator, starting with [[11edo|11]] and [[15edo|15EDO]]. Using my slightly better knowledge about zigzags in scale trees, the zigzag of EDOs start with 11-15-[[26edo|26]].
On a side note, I believe I have found a better way to find new generators; usually, I would type something like 927.927364 into Scale Workshop and pray to whatever god there is that the MOS scales are good. The problem with this method is that these would usually give ''very'' small s steps (sometimes around 3 cents or so) or the generator is Orwell. How I found this temperament is focusing on EDO steps (something like 52\107); this is slightly better for me, as there's a bit more of a good sense as to if it will cause small s steps or not.
=== Interval Chain ===
{| class="wikitable"
!131.63
!455.68
!779.74
!1103.79
!227.84
!551.89
!875.95
!0.0
!324.05
!648.11
!972.16
!96.21
!420.26
!744.32
!1068.37
|-
|[[14/13]] +4c
|13/10
|[[11/7]]
|[[17/9]] +3c
|8/7 -3c
|11/8
|[[5/3]] -8c
|1/1
|6/5 +8c
|16/11
|[[7/4]] +3c
|[[18/17]] -3c
|[[14/11]]
|20/13
|[[13/7]] -4c
|}
=== Eigenmonzos ===
{| class="wikitable"
|7/4
|322.94196882304163
|-
|14/11
|323.50159282087367
|-
|3/2
|323.64441181561097
|-
|13/8
|324.0527661769311
|-
|5/4
|324.1446071165522
|-
|16/11
|324.3410288176217
|-
|9/8
|325.48875021634683
|}
=== MOS Scales ===
''(note; these scales would be better with equal generators up & down [for example, the first scale could be 3|3 in [[Modal UDP Notation]]])''
==== [[4L 3s|4L3s]] ====
{| class="wikitable"
!0
!1
!2
!3
!4
!5
!6
|-
|0.0
|
|
|
|
|
|
|-
|
|
|
|
|96.21
|
|
|-
|
|324.05
|
|
|
|
|
|-
|
|
|
|
|
|420.26
|
|-
|
|
|648.11
|
|
|
|
|-
|
|
|
|
|
|
|744.32
|-
|
|
|
|972.16
|
|
|
|}
L = 227.84 (-3x)
s = 96.21 (4x)
c = 131.63 (-7x)
==== [[4L 7s|4L7s]] ====
{| class="wikitable"
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
|-
|0.0
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|96.21
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|192.42
|
|
|-
|
|324.05
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|420.26
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|516.48
|
|-
|
|
|648.11
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|744.32
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|840.53
|-
|
|
|
|972.16
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|1068.37
|
|
|
|}
L = 131.63 (-7x)
s = 96.21 (4x)
c = 35.42 (-11x)
==== [[4L 11s|4L11s]] ====
{| class="wikitable"
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
|-
|0.0
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|96.21
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|192.42
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|
|288.63
|
|
|-
|
|324.05
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|420.26
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|516.48
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|
|
|612.69
|
|-
|
|
|648.11
|
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|744.32
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|840.53
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|936.74
|-
|
|
|
|972.16
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|1068.37
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|1164.58
|
|
|
|}
L = 96.21 (4x)
s = 35.42 (-11x)
c = 60.79 (-15x)
Retrieved from "https://en.xen.wiki/w/User:CritDeathX/Sam%27s_Musings"