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

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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 23: Line 23:


== Christopher Temperament ==
== Christopher Temperament ==
Christopher temperament is the name I give to the 2.5.7.11.13-limit temperament with a generator of a sharp [[7/6]] that tempers out [[99/98]], 44/43, 17496/16807, etc. It would be a generator of [[Orwell]] if it wasn't for the fact that its too sharp. Two generators give an 8c sharp [[11/8]], three of them make a 0.7c flat [[13/8]], and five make a 4c flat [[9/8]].
Christopher temperament is the name I give to the 2.5.7.9.11.13-limit temperament with a generator of a sharp [[7/6]] that tempers out [[99/98]], 44/43, 17496/16807, etc. It would be a generator of [[Orwell]] if it wasn't for the fact that its too sharp. Two generators give an 8c sharp [[11/8]], three of them make a 0.7c flat [[13/8]], and five make a 4c flat [[9/8]].


Using a [http://www.microtonalsoftware.com/scale-tree.html?left=13&right=17&rr=1200&ioi=279.944474 scale tree], you can find the EDOs that approximate the generator, starting with [[13edo|13]] & [[17edo|17EDO]]; you could also find a zigzag series of EDOs that approximate the generator, starting with 13 & [[30edo|30]].
Using a [http://www.microtonalsoftware.com/scale-tree.html?left=13&right=17&rr=1200&ioi=279.944474 scale tree], you can find the EDOs that approximate the generator, starting with [[13edo|13]] & [[17edo|17EDO]]; you could also find a zigzag series of EDOs that approximate the generator, starting with 13 & [[30edo|30]].
Line 423: Line 423:


== Resolutions in Temperaments ==
== Resolutions in Temperaments ==
As of 3/23/2020, I got really bored and I made a little resolution in the 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.


[https://en.xen.wiki/w/File:Christopher(9)_resolution.wav Christopher(9)]
[[File:Christopher(9) resolution.wav]] | Christopher 4L5s


[https://en.xen.wiki/w/File:Mavila_resolution.wav Mavila(9)]
[[File:Mavila resolution.wav]] | [[Mavila]] [[2L 5s|2L5s]]


[https://en.xen.wiki/w/File:Blackwood_resolution.wav Blackwood(10)]
[[File:Blackwood resolution.wav]] | [[Blackwood]] [[5L 5s|5L5s]]


== Trififth Temperament ==
== Halthird Temperament ==
Trififth temperament is the name I've given to the 2.3.7-limit temperament with a generator of a sharp [[8/7]] that tempers out 1029/1024. The simplest primes it can give are 7/4 down one generator and 3/2 up 3 generators, hence the name. Other primes are in the double digits, with 5 being 17 generators.
Halthird temperament is the name I give to my first half-octave temperament. It has a generator of a slightly sharp 7/6, and a limit of 2.5.7.9.11.


This is the closest [http://www.microtonalsoftware.com/scale-tree.html?left=13&right=17&rr=1200&ioi=279.944474 scale tree] I could find for EDOs that support the generator, starting with [[5edo|5]] and [[16edo|16EDO]]. To my knowledge, there's no zigzag pattern for the generator.
Using a [http://www.microtonalsoftware.com/scale-tree.html?left=7&right=11&rr=600&ioi=264.292863 scale tree], you can find EDOs that have this generator, starting with [[7edo|7]] & [[11edo|11EDO]]. There's a zigzag pattern starting with [[25edo|25]] and [[68edo|68EDO]], though if you want a zigzag from the starting point, there's one between 7 & [[18edo|18EDO]].
 
I also don't really know how to properly make MOS scales in this, so there will be no MOS scale diagrams here.
 
=== Interval Chain ===
{| class="wikitable"
|549.99
|814.28
|1078.57
|142.85
|407.14
|671.43
|935.71
|0.0
|264.29
|528.57
|792.86
|1057.15
|121.43
|385.72
|650.01
|-
|11/8
|[[8/5]]
|[[28/15]]
|[[12/11]] -8c
|[[81/64]]
|[[28/19]]
|12/7
|1/1
|7/6
|[[19/14]]
|[[128/81]]
|[[11/6]] +8c
|[[15/14]]
|5/4
|16/11
|-
| colspan="15" |
|-
|1149.99
|214.28
|478.57
|742.85
|1007.14
|71.43
|335.71
|600.0
|864.29
|1128.57
|192.86
|457.15
|721.43
|985.72
|50.01
|-
|64/33
|26/23
|29/22
|[[20/13]]
|16/9 +11c
|[[25/24]]
|[[17/14]]
|[[7/5]] +18c
|[[28/17]]
|[[48/25]]
|9/8 -11c
|[[13/10]]
|44/29
|[[23/13]]
|[[33/32]]
|}
 
=== MOS Scales ===
[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(264.292863%2C%20600.0)&data=192.878589%0A264.292863%0A457.171452%0A528.585726%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 2L3s]
 
[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(264.292863%2C%20600.0)&data=121.464315%0A192.878589%0A264.292863%0A385.757178%0A457.171452%0A528.585726%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 3L4s]
 
[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(264.292863%2C%20600.0)&data=50.050041%0A121.464315%0A192.878589%0A264.292863%0A314.342904%0A385.757178%0A457.171452%0A528.585726%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 7L2s]
 
== Stepped Temperament ==
Stepped temperament is the name I give to the '''2.3.5.9.10.11.13.29.31'''-limit temperament with a generator of a flat 5/4 that tempers out <small>967458816/847425747</small>, <small>16325867520/13841287201</small>, <small>823543/629856</small>, etc. Obviously, this is a high complexity temperament, though the good thing is that you have two major thirds that you can choose from; a 12c sharp third (appears after 15 generators) or a 15c flat third (the generator). I tried to demonstrate this fact in the limit, though I have a feeling there's a more accurate way of writing it. A similar occurrence happens in [[pseudo-semaphore]], where the 3rd harmonic has 2 different mappings.
 
Another thing you may notice is the size of the limit; this is the largest limit that I've seen as of 4/8/2020. Considering I'm only sticking under 31, this is still a sizable limit.
 
Using a [http://www.microtonalsoftware.com/scale-tree.html?left=13&right=16&rr=1200&ioi=371.301736 scale tree], you can find EDOs that have this generator, starting with 13 & [[16edo|16EDO]]. There's a zigzag pattern starting with 13 & [[42edo|42EDO]], though if you want a more linear pattern, there's one between 13 and [[29edo|29EDO]].
 
=== Interval Chain ===
{| class="wikitable"
|258.28
|629.59
|1000.89
|172.19
|543.49
|914.79
|86.09
|457.40
|828.70
|0.0
|371.30
|742.60
|1113.91
|285.21
|656.51
|1027.81
|199.11
|570.41
|941.72
|-
|[[22/19]] -4c
|[[36/25]]
|16/9 +5c
|32/29
|11/8 -8c
|[[22/13]]
|[[20/19]]
|13/10
|8/5 +15c
|1/1
|5/4 -15c
|20/13
|[[19/10]]
|[[13/11]] +4c
|16/11 +8c
|[[29/16]]
|9/8 -5c
|[[25/18]]
|[[19/11]] +4c
|}
 
=== MOS Scales ===
 
==== [[3L 4s|3L4s]] ====
{| class="wikitable"
!0
!1
!2
!3
!4
!5
!6
|-
|0.0
|
|
|
|
|
|
|-
|
|
|
|
|285.21
|
|
|-
|
|371.30
|
|
|
|
|
|-
|
|
|
|
|
|656.51
|
|-
|
|
|742.60
|
|
|
|
|-
|
|
|
|
|
|
|1027.81
|-
|
|
|
|1113.91
|
|
|
|}
L = 285.21 (4x)
 
s = 86.09 (-3x)
 
c = 199.11 (7x)
 
==== [[3L 7s|3L7s]] ====
{| class="wikitable"
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
|-
|0.0
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|199.11
|
|
|-
|
|
|
|
|285.21
|
|
|
|
|
|-
|
|371.30
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|570.41
|
|-
|
|
|
|
|
|656.51
|
|
|
|
|-
|
|
|742.60
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|941.72
|-
|
|
|
|
|
|
|1027.81
|
|
|
|-
|
|
|
|1113.91
|
|
|
|
|
|
|}
L = 199.11 (7x)
 
s = 86.09 (-3x)
 
c = 113.02 (10x)
 
==== [[3L 10s|3L10s]] ====
{| class="wikitable"
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
|0.0
|
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|113.02
|
|
|-
|
|
|
|
|
|
|
|199.11
|
|
|
|
|
|-
|
|
|
|
|285.21
|
|
|
|
|
|
|
|
|-
|
|371.30
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|484.32
|
|-
|
|
|
|
|
|
|
|
|570.41
|
|
|
|
|-
|
|
|
|
|
|656.51
|
|
|
|
|
|
|
|-
|
|
|742.60
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|
|855.62
|-
|
|
|
|
|
|
|
|
|
|941.72
|
|
|
|-
|
|
|
|
|
|
|1027.81
|
|
|
|
|
|
|-
|
|
|
|1113.91
|
|
|
|
|
|
|
|
|
|}
L = 113.02 (10x)
 
s = 86.09 (-3x)
 
c = 26.92 (13x)
 
== Sothuyo Temperament ==
Sothuyo temperament is the name I give to the 2.3.5.13.17-limit temperament with a generator of a slightly sharp 13/10 that tempers out 170/169, <small>6250000000/5931980229</small>, etc. The name for this temperament comes from the [[Color notation|colour notation]] name of 170/169, which is 17o3u<sup>2</sup>yb1.
 
Using a [http://www.microtonalsoftware.com/scale-tree.html?left=8&right=13&rr=1200&ioi=458.873648 scale tree], you can find EDOs that support this generator, starting with [[8edo|8]] and 13EDO. There's a zigzag pattern between 13 and [[21edo|21EDO]].
 
=== Interval Chain ===
{| class="wikitable"
|387.88
|846.76
|105.63
|564.51
|1023.38
|282.25
|741.13
|0.0
|458.87
|917.75
|176.62
|635.49
|1094.37
|353.24
|812.12
|-
|5/4
|[[18/11]] -6c
|[[16/15]] -6c
|[[18/13]]
|[[9/5]] +5c
|[[20/17]]
|20/13 -5c
|1/1
|13/10 +5c
|[[17/10]]
|[[10/9]] -5c
|[[13/9]]
|[[15/8]] +6c
|[[11/9]] +6c
|8/5
|}
 
=== MOS Scales ===
 
==== [[3L 2s|3L2s]] ====
{| class="wikitable"
!0
!1
!2
!3
!4
|-
|0.0
|
|
|
|
|-
|
|
|
|176.62
|
|-
|
|458.87
|
|
|
|-
|
|
|
|
|635.49
|-
|
|
|917.75
|
|
|}
L = 282.25 (-2x)
 
s = 176.62 (3x)
 
c = 105.63 (-5x)
 
==== [[5L 3s|5L3s]] ====
{| class="wikitable"
!0
!1
!2
!3
!4
!5
!6
!7
|-
|0.0
|
|
|
|
|
|
|
|-
|
|
|
|176.62
|
|
|
|
|-
|
|
|
|
|
|
|353.24
|
|-
|
|458.87
|
|
|
|
|
|
|-
|
|
|
|
|635.49
|
|
|
|-
|
|
|
|
|
|
|
|812.12
|-
|
|
|917.75
|
|
|
|
|
|-
|
|
|
|
|
|1094.37
|
|
|}
L = 176.62 (3x)
 
s = 105.63 (-5x)
 
c = 70.99 (8x)
 
==== [[5L 8s|5L8s]] ====
{| class="wikitable"
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
|0.0
|
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|70.99
|
|
|
|
|-
|
|
|
|176.62
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|247.610
|
|-
|
|
|
|
|
|
|353.24
|
|
|
|
|
|
|-
|
|458.87
|
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|529.86
|
|
|
|-
|
|
|
|
|635.49
|
|
|
|
|
|
|
|706.48
|-
|
|
|
|
|
|
|
|812.12
|
|
|
|
|
|-
|
|
|917.75
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|988.74
|
|
|-
|
|
|
|
|
|1094.37
|
|
|
|
|
|
|
|}
L = 105.63 (-5x)
 
s = 70.99 (8x)
 
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 [http://www.microtonalsoftware.com/scale-tree.html?left=11&right=15&rr=1200&ioi=324.052766 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 ===
=== Interval Chain ===
{| class="wikitable"
{| class="wikitable"
!991.96
!131.63
!26.63
!455.68
!261.30
!779.74
!495.98
!1103.79
!730.65
!227.84
!965.33
!551.89
!875.95
!0.0
!0.0
!234.67
!324.05
!469.35
!648.11
!704.02
!972.16
!938.69
!96.21
!1173.37
!420.26
!208.04
!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
|
|
|
|
|
|
|
|-
|-
|16/9 -4c
|
|64/63
|
|7/6 +6c
|
|4/3
|
|32/21
|
|7/4 +4c
|
|
|
|
|
|
|1164.58
|
|
|
|}
L = 96.21 (4x)
 
s = 35.42 (-11x)
 
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
|1/1
|8/7 -4c
|7/6
|21/16
|[[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
|3/2
|12/7 -6c
|263.45863628496477
|63/32
|-
|9/8 +4c
|81/64
|264.05999884615005
|-
|11/8
|264.09743680503476
|-
|5/4
|264.38561897747246
|-
|7/6
|266.87090560373764
|}
|}


=== MOS Scales ===
=== MOS Scales ===


==== [[1L 4s|1L4s]] ====
==== 4L1s ====
{| class="wikitable"
{| class="wikitable"
!0
!0
Line 484: Line 1,972:
|-
|-
|
|
|234.67
|264.060
|
|
|
|
Line 491: Line 1,979:
|
|
|
|
|469.35
|528.120
|
|
|
|
Line 498: Line 1,986:
|
|
|
|
|704.02
|792.180
|
|
|-
|-
Line 505: Line 1,993:
|
|
|
|
|938.69
|1056.240
|}
|}
L = 261.30 (-4x)
L = 264.060 (1x)


s = 234.67 (1x)
s = 143.760 (-4x)


c = 26.63 (-5x)
c = 120.300 (5x)


==== [[5L 1s|5L1s]] ====
==== 4L5s ====
{| class="wikitable"
{| class="wikitable"
!0
!0
Line 521: Line 2,009:
!4
!4
!5
!5
!6
!7
!8
|-
|-
|0.0
|0.0
Line 526: Line 2,017:
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|120.300
|
|
|
|-
|
|264.060
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|384.360
|
|
|
|
|-
|-
|
|
|234.67
|
|528.120
|
|
|
|
|
|
Line 538: Line 2,065:
|
|
|
|
|469.35
|
|
|
|
|
|
|
|648.420
|
|
|-
|-
Line 546: Line 2,076:
|
|
|
|
|704.02
|792.180
|
|
|
|
|
|
|
Line 554: Line 2,087:
|
|
|
|
|938.69
|
|
|
|
|
|912.480
|-
|-
|
|
|
|
|
|1056.240
|
|
|
|
|
|
|
|
|1173.37
|}
|}
L = 234.67 (1x)
L = 143.760 (-4x)


s = 26.63 (-5x)
s = 120.300 (5x)


c = 208.04 (6x)
c = 23.460 (-9x)


==== [[5L 6s|5L6s]] ====
==== 9L5s ====
{| class="wikitable"
{| class="wikitable"
!0
!0
Line 583: Line 2,122:
!9
!9
!10
!10
!11
!12
!13
|-
|-
|0.0
|0.0
|
|
|
|
|
|
|
Line 598: Line 2,143:
|
|
|
|
|
|
|
|120.300
|
|
|
|
|
|
|
|
|208.04
|
|
|
|
Line 609: Line 2,157:
|-
|-
|
|
|234.67
|
|
|
|
Line 616: Line 2,163:
|
|
|
|
|
|
|
|240.600
|
|
|
|
|
|
|-
|-
|
|264.060
|
|
|
|
|
|
Line 627: Line 2,182:
|
|
|
|
|442.72
|
|
|
|
Line 634: Line 2,188:
|
|
|
|
|469.35
|
|
|
|
|
|384.360
|
|
|
|
Line 652: Line 2,209:
|
|
|
|
|677.39
|
|
|
|504.660
|
|
|
|
|-
|-
|
|
|528.120
|
|
|
|
|
|
|
|704.02
|
|
|
|
Line 672: Line 2,235:
|
|
|
|
|
|
|
|648.420
|
|
|
|
Line 677: Line 2,244:
|
|
|
|
|912.07
|
|
|-
|-
Line 684: Line 2,250:
|
|
|
|
|938.69
|
|
|
|
Line 690: Line 2,255:
|
|
|
|
|
|
|
|768.720
|
|
|-
|-
|
|
|
|792.180
|
|
|
|
Line 702: Line 2,275:
|
|
|
|
|1146.74
|-
|-
|
|
Line 709: Line 2,281:
|
|
|
|
|1173.37
|
|
|
|
|912.480
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|
|
|1032.780
|-
|
|
|
|
|1056.240
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|1176.540
|
|
|
|
Line 716: Line 2,336:
|
|
|}
|}
L= 208.04 (6x)
L = 120.300 (5x)


s = 26.63 (-5x)
s = 23.460 (-9x)


c = 181.41 (11x)
c = 96.960 (14x)