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

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As of 3/23/2020, I got really bored and I made a little resolution in the [https://en.xen.wiki/w/User:CritDeathX/Sam%27s_Musings#4L5s 4L5s scale of Christopher]. I decided to try and record some progressions in various temperaments after realizing how easy it is to bust them out and sing microtonally. These are all using 4 voices of varying ranges. I hope you enjoy.
As of 3/23/2020, I got really bored and I made a little resolution in the [https://en.xen.wiki/w/User:CritDeathX/Sam%27s_Musings#4L5s 4L5s scale of Christopher]. I decided to try and record some progressions in various temperaments after realizing how easy it is to bust them out and sing microtonally. These are all using 4 voices of varying ranges. I hope you enjoy.


[[:File:Christopher(9) resolution.wav]] | Christopher 4L5s
[[File:Christopher(9) resolution.wav]] | Christopher 4L5s


[[:File:Mavila resolution.wav]] | [[Mavila]] [[2L 5s|2L5s]]
[[File:Mavila resolution.wav]] | [[Mavila]] [[2L 5s|2L5s]]


[[:File:Blackwood resolution.wav]] | [[Blackwood]] [[5L 5s|5L5s]]
[[File:Blackwood resolution.wav]] | [[Blackwood]] [[5L 5s|5L5s]]


== Halthird Temperament ==
== Halthird Temperament ==
Line 1,891: Line 1,891:
s = 35.42 (-11x)
s = 35.42 (-11x)


c = 60.79 (-15x)
c = 61.79 (-15x)
 
== Worell Temperament ==
Worell temperament is the name I give to the 11-limit temperament with a generator of a slightly flat 7/6 that tempers out 343/324, 117649/116640, 9058973/8957952, etc. Six generators give 5/4, seven generators give 16/11, ten generators give 8/7, and eleven generators give 4/3. It is named worell temperament because of the perceived similarity to orwell, except for higher complexity for its primes; for example, orwell takes three generators to get to 5/4, while worell takes twice as many generators.
 
Using a [http://www.microtonalsoftware.com/scale-tree.html?left=9&right=14&rr=1200&ioi=264.05999884615005 scale tree], you can find EDOs that support this generator, starting with [[9edo|9]] & [[14edo|14EDO]]. Admittedly, I don't enjoy 14EDO's approximation of 7/6, but the website I'm using can only go up to [[19edo|19 notes]].
 
Its not a temperament that I'm too proud of, mainly from the fact I realized while writing this that this was already a generator for [https://en.xen.wiki/w/User:CritDeathX/Sam's_Musings#Halthird_Temperament halthird temperament]. Also, the L:s ratio gets a bit wonky at the 14-note scale.
 
=== Interval Chain ===
{| class="wikitable"
|815.640
|1079.700
|143.760
|407.820
|671.880
|935.940
|0.0
|264.060
|528.120
|792.180
|1056.240
|120.300
|384.360
|-
|8/5
|28/15
|12/11 -7c
|81/64
|40/27 -9c
|12/7
|1/1
|7/6
|[[27/20]] +9c
|128/64
|11/6 +7c
|15/14
|5/4
|}
 
=== Eigenmonzos ===
{| class="wikitable"
|40/27
|259.77564436566377
|-
|7/4
|263.1174093530875
|-
|3/2
|263.45863628496477
|-
|81/64
|264.05999884615005
|-
|11/8
|264.09743680503476
|-
|5/4
|264.38561897747246
|-
|7/6
|266.87090560373764
|}
 
=== MOS Scales ===
 
==== 4L1s ====
{| class="wikitable"
!0
!1
!2
!3
!4
|-
|0.0
|
|
|
|
|-
|
|264.060
|
|
|
|-
|
|
|528.120
|
|
|-
|
|
|
|792.180
|
|-
|
|
|
|
|1056.240
|}
L = 264.060 (1x)
 
s = 143.760 (-4x)
 
c = 120.300 (5x)
 
==== 4L5s ====
{| class="wikitable"
!0
!1
!2
!3
!4
!5
!6
!7
!8
|-
|0.0
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|120.300
|
|
|
|-
|
|264.060
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|384.360
|
|
|-
|
|
|528.120
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|648.420
|
|-
|
|
|
|792.180
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|912.480
|-
|
|
|
|
|1056.240
|
|
|
|
|}
L = 143.760 (-4x)
 
s = 120.300 (5x)
 
c = 23.460 (-9x)
 
==== 9L5s ====
{| class="wikitable"
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
|-
|0.0
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|120.300
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|240.600
|
|
|
|-
|
|264.060
|
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|384.360
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|504.660
|
|
|-
|
|
|528.120
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|648.420
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|
|768.720
|
|-
|
|
|
|792.180
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|912.480
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|
|
|1032.780
|-
|
|
|
|
|1056.240
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|1176.540
|
|
|
|
|}
L = 120.300 (5x)
 
s = 23.460 (-9x)
 
c = 96.960 (14x)
Retrieved from "https://en.xen.wiki/w/User:CritDeathX/Sam%27s_Musings"