16ed10: Difference between revisions

Revision as of 20:48, 5 October 2022

16ED10 is the equal division of the 10th harmonic into 16 parts of 249.1446 cents each. It is related to the hemigari temperament, which tempers out 121/120, 169/168, 190/189, 209/208, and 225/224 in the 2.3.5.7.11.13.19 subgroup, which is supported by 29edo and 53edo.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	249.1446	38/33, 15/13, 52/45, 22/19
2	498.2892	4/3
3	747.4338	20/13, (17/11)
4	996.5784	16/9
5	1245.7230	80/39
6	1494.8676	64/27, 19/8
7	1744.0122	30/11, 11/4
8	1993.1569	60/19, 256/81, 405/128, 19/6
9	2242.3015	40/11, 11/3
10	2491.4461	21/5, 80/19, 135/32
11	2740.5907	39/8
12	2989.7353	28/5, 45/8
13	3238.8799	13/2
14	3488.0245	15/2
15	3737.1691	95/11, 26/3
16	3986.3137	exact 10/1	just major third plus three octaves

Revision as of 13:33, 19 January 2019 view source Xenllium (talk \| contribs) autopatrolled, emailconfirmed 5,024 edits Created page with "'''16ED10''' is the equal division of the 10th harmonic into 16 parts of 249.1446 cents each. It is related to the hemigari temperament..." Tags: Mobile edit Mobile web edit		Revision as of 20:48, 5 October 2022 view source Plumtree (talk \| contribs) autopatrolled, emailconfirmed 1,976 edits m Infobox ET added Newer edit →
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			{{Infobox ET}}
	'''16ED10''' is the [[Ed10\|equal division of the 10th harmonic]] into 16 parts of 249.1446 [[cent\|cents]] each. It is related to the [[Schismatic family\|hemigari temperament]], which tempers out 121/120, 169/168, 190/189, 209/208, and 225/224 in the 2.3.5.7.11.13.19 subgroup, which is supported by [[29edo]] and [[53edo]].		'''16ED10''' is the [[Ed10\|equal division of the 10th harmonic]] into 16 parts of 249.1446 [[cent\|cents]] each. It is related to the [[Schismatic family\|hemigari temperament]], which tempers out 121/120, 169/168, 190/189, 209/208, and 225/224 in the 2.3.5.7.11.13.19 subgroup, which is supported by [[29edo]] and [[53edo]].