User:Ganaram inukshuk/Template sandbox: Difference between revisions

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Template testing
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{{User:Ganaram inukshuk/Template:Mbox|text=For testing out templates.}}
{{User:Ganaram inukshuk/Template:Mbox|text=[[File:Icon-Stub.png|60px]]This is a beginner page. It is written to allow new readers to learn about the basics of the topic easily.


The corresponding expert page for this topic is Mathematical theory of regular temperaments.}}






== Jirined testing ==
 
==Jirined testing==
{{JI ratios in ED|ED=12|Subgroup=2.3.5.7.17.19|Tenney Height=8}}
{{JI ratios in ED|ED=12|Subgroup=2.3.5.7.17.19|Tenney Height=8}}
{{JI ratios in ED|ED=72|Subgroup=2.3.5.7.11.19|Tenney Height=10|Integer Limit=160}}


{{JI ratios in ED|ED=5|Prime Limit=5}}
{{JI ratios in ED|ED=5|Prime Limit=5}}
Line 15: Line 15:
{{JI ratios in ED|ED=7edf}}
{{JI ratios in ED|ED=7edf}}


== Table of 22edo intervals ==
==Table of 22edo intervals==
{{JI ratios in ED|ED=22|Subgroup=2.3.5.7.11.17|Integer Limit=72|Tenney Height=10|Threshold=.35}}
{{JI ratios in ED|ED=22|Subgroup=2.3.5.7.11.17|Integer Limit=72|Tenney Height=10|Threshold=.35}}


== Table of 19edo intervals ==
==Table of 19edo intervals==
{{JI ratios in ED|ED=19|Subgroup=2.3.5.7.13|Integer Limit=50|Tenney Height=8|Threshold=.35}}
{{JI ratios in ED|ED=19|Subgroup=2.3.5.7.13|Integer Limit=50|Tenney Height=8|Threshold=.35}}


== Table of 103edo intervals ==
==Table of 103edo intervals==
{{JI ratios in ED|ED=103|Prime Limit=17|Integer Limit=160|Tenney Height=13}}
==Table of 167edo intervals==
 
== Table of 167edo intervals ==
{{JI ratios in ED|ED=167|Prime Limit=13|Integer Limit=160|Tenney Height=13}}

Revision as of 00:13, 11 May 2024

This is a beginner page. It is written to allow new readers to learn about the basics of the topic easily. The corresponding expert page for this topic is Mathematical theory of regular temperaments.



Jirined testing

Intervals of 12edo (as a 2.3.5.7.17.19 subgroup temperament)
Degree Cents Approximated JI intervals
2-limit 3-limit 5-limit 7-limit 17-limit 19-limit
0 0.000 1/1
1 100.000 16/15
25/24 		15/14
21/20 		17/16
18/17 		19/18
20/19
2 200.000 9/8 10/9 28/25 17/15
96/85 		64/57
3 300.000 32/27 6/5 20/17 19/16
4 400.000 5/4
32/25 		51/40
64/51 		24/19
5 500.000 4/3 27/20 21/16 19/14
6 600.000 45/32
64/45 		7/5
10/7 		17/12
24/17
7 700.000 3/2 40/27 32/21 28/19
8 800.000 8/5
25/16 		51/32
80/51 		19/12
9 900.000 27/16 5/3 17/10 32/19
10 1000.000 16/9 9/5 25/14 30/17
85/48 		57/32
11 1100.000 15/8
48/25 		28/15
40/21 		17/9
32/17 		19/10
36/19
12 1200.000 2/1


Intervals of 5edo (as a 5-limit temperament)
Degree Cents Approximated JI intervals
2-limit 3-limit 5-limit
0 0.000 1/1
1 240.000 9/8
32/27 		10/9
2 480.000 4/3 27/20
32/25
3 720.000 3/2 25/16
40/27
4 960.000 16/9
27/16 		9/5
5 1200.000 2/1


Intervals of 13edt (as a 3.5.7 subgroup temperament)
Degree Cents Approximated JI intervals
3-limit 5-limit 7-limit
0 0.000 1/1
1 146.304 27/25
2 292.608 25/21
3 438.913 9/7
35/27
4 585.217 7/5
5 731.521 75/49
6 877.825 5/3 81/49
7 1024.130 9/5 49/27
8 1170.434 49/25
9 1316.738 15/7
10 1463.042 7/3
81/35
11 1609.347 63/25
12 1755.651 25/9
13 1901.955 3/1


Intervals of 7edf (as a 5-limit temperament)
Degree Cents Approximated JI intervals
2-limit 3-limit 5-limit
0 0.000 1/1
1 100.279 16/15
25/24
2 200.559 9/8 10/9
3 300.838 32/27 6/5
75/64
4 401.117 81/64 5/4
32/25
5 501.396 4/3 27/20
6 601.676 36/25
45/32
7 701.955 3/2


Table of 22edo intervals

Intervals of 22edo (as a 2.3.5.7.11.17 subgroup temperament)
Degree Cents Approximated JI intervals
2-limit 3-limit 5-limit 7-limit 11-limit 17-limit
0 0.000 1/1
1 54.545 25/24 28/27
36/35 		33/32 34/33
35/34
2 109.091 16/15 15/14 17/16
18/17
3 163.636 10/9 35/32 11/10
12/11 		56/51
4 218.182 9/8 8/7 25/22 17/15
5 272.727 7/6 33/28
64/55 		20/17
6 327.273 6/5 40/33 17/14
7 381.818 5/4 56/45 44/35 21/17
34/27
64/51
68/55
8 436.364 32/25 9/7
35/27 		14/11 22/17
9 490.909 4/3 33/25 45/34
10 545.455 48/35
49/36 		11/8
15/11 		34/25
11 600.000 45/32
64/45 		7/5
10/7 		17/12
24/17
12 654.545 35/24
72/49 		16/11
22/15 		25/17
13 709.091 3/2 50/33 68/45
14 763.636 25/16 14/9
54/35 		11/7 17/11
15 818.182 8/5 45/28 35/22 27/17
34/21
51/32
55/34
16 872.727 5/3 33/20 28/17
17 927.273 12/7 55/32
56/33 		17/10
18 981.818 16/9 7/4 44/25 30/17
19 1036.364 9/5 64/35 11/6
20/11 		51/28
20 1090.909 15/8 28/15 17/9
32/17
21 1145.455 48/25 27/14
35/18 		64/33 33/17
68/35
22 1200.000 2/1


Table of 19edo intervals

Intervals of 19edo (as a 2.3.5.7.13 subgroup temperament)
Degree Cents Approximated JI intervals
2-limit 3-limit 5-limit 7-limit 13-limit
0 0.000 1/1
1 63.158 25/24 21/20
28/27 		40/39
2 126.316 16/15 15/14 13/12
14/13
3 189.474 9/8 10/9 28/25
4 252.632 7/6
8/7 		15/13
5 315.789 32/27 6/5
6 378.947 5/4 16/13
7 442.105 32/25 9/7 13/10
8 505.263 4/3 27/20
9 568.421 25/18 7/5
48/35 		18/13
10 631.579 36/25 10/7
35/24 		13/9
11 694.737 3/2 40/27
12 757.895 25/16 14/9 20/13
13 821.053 8/5 13/8
14 884.211 27/16 5/3
15 947.368 7/4
12/7 		26/15
16 1010.526 16/9 9/5 25/14
17 1073.684 15/8 28/15 13/7
24/13
18 1136.842 48/25 27/14
40/21 		39/20
19 1200.000 2/1


Table of 103edo intervals

Table of 167edo intervals

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