Mapping

sharpness = 3

L = 4 ; s = 1

Degree	Notation	Approximate Ratios	Approximate Ratios	Notation	Degree
0	P1	1/1	2/1	P8	22
1	m2			M7	21
2	↑m2	16/15, 15/14	28/15, 15/8	↓M7	20
3	↓M2	12/11, 11/10, 10/9	9/5, 20/11, 11/6	↑m7	19
4	M2	9/8, 8/7	7/4, 16/9	m7	18
5	m3	7/6	12/7	M6	17
6	↑m3	6/5, 11/9	18/11, 5/3	↓M6	16
7	↓M3	5/4	8/5	↑m6	15
8	M3	14/11, 9/7	14/9, 11/7	m6	14
9	P4	4/3	3/2	P5	13
10	↑P4	15/11, 11/8	16/11, 22/15	↓P5	12
11	↓A4	7/5, 10/7		↑d5	11

Rank-2 5-limit temperaments

Periods per 8ve	Generator	Temperaments	5-limit commas
1	1\22	Chromo Escapade	1220703125/1146617856 4294967296/4271484375
1	3\22	Porcupine	250/243
1	5\22	Orson	2109375/2097152
1	7\22	Magic	3125/3072
1	9\22	Superpyth	20480/19683
2	1\22	Comic	5120000/4782969
2	2\22	Diaschismic	2048/2025
2	3\22	Kwazy	9010162353515625/9007199254740992
2	4\22	Wizard	2197265625/2147483648
2	5\22	Doublewide	390625/373248
11	1\22	Undekapent	48828125/45349632


Period	Generator	Mode	Name	Alteration
22\22	3\22	3 3 3 3 1 3 3 3 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1	Porcupine[8] Porcupine[15]
22\22	5\22	2 3 2 3 2 3 2 3 2 2 1 2 1 2 1 2 2 1 2 1 2 1 2	Orson[9] Orson[13]
22\22	7\22	1 5 1 1 5 1 1 1 5 1 1 1 4 1 1 1 4 1 1 1 4 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1	Magic[10] Magic[13] Magic[16] Magic[19]
22\22	9\22	1 3 1 3 1 3 1 1 3 1 3 1 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1	Superpyth[12] Superpyth[17]
11\22	2\22	2 2 2 1 2 2 2 2 2 1 2 2	Diaschismic[12]	2 2 2 1 2 2 2 2 1 2 2 2
11\22	3\22	3 3 2 3 3 3 2 3 2 1 2 1 2 1 2 2 1 2 1 2 1 2	Kwazy[8] Kwazy[14]
11\22	4\22	3 1 3 1 3 3 1 3 1 3 1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1	Wizard[10] Wizard[16]
11\22	5\22	1 4 1 4 1 1 4 1 4 1 1 3 1 1 1 3 1 1 3 1 1 1 3 1 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1	Doublewide[10] Doublewide[14] Doublewide[18]
2\22	2\22	2 2 2 2 2 2 2 2 2 2 2	11edo
1\22	1\22	1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1	22edo