User:Ganaram inukshuk/Template sandbox

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