203edo - Revision history

ArrowHead294 at 19:27, 20 February 2025

2025-02-20T19:27:09Z

← Older revision		Revision as of 19:27, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	203 = 7 × 29, ~~and~~ 203edo shares its [[3/2\|fifth]] with [[29edo]]. It is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 7-limit: {{val\| 203 322 471 570 }} ([[patent val]]), {{val\| 203 322 '''472''' 570 }} (203c). Using the patent val, it [[tempering out\|tempers out]] 2109375/2097152 ([[semicomma]]) and {{monzo\| 4 -23 14 }} in the 5-limit; [[4000/3969]], [[10976/10935]], and [[2100875/2097152]] in the 7-limit; [[385/384]], 1331/1323, and [[4000/3993]] in the 11-limit; [[352/351]], [[676/675]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 203c val, it tempers out 78732/78125 ([[sensipent comma]]) in the 5-limit; [[5120/5103]], [[50421/50000]], and 110592/109375 in the 7-limit; [[176/175]], 1331/1323, [[8019/8000]], and 26411/26244 in the 11-limit. The alternative 203cef val is also worth considering, which tempers out [[441/440]], [[896/891]], and [[3388/3375]] in the 11-limit; and [[196/195]], 352/351, [[364/363]], and 676/675 in the 13-limit.		Since {{nowrap\|203 {{=}} 7 × 29}}, 203edo shares its [[3/2\|fifth]] with [[29edo]]. It is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 7-limit: {{val\| 203 322 471 570 }} ([[patent val]]), {{val\| 203 322 '''472''' 570 }} (203c). Using the patent val, it [[tempering out\|tempers out]] 2109375/2097152 ([[semicomma]]) and {{monzo\| 4 -23 14 }} in the 5-limit; [[4000/3969]], [[10976/10935]], and [[2100875/2097152]] in the 7-limit; [[385/384]], 1331/1323, and [[4000/3993]] in the 11-limit; [[352/351]], [[676/675]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 203c val, it tempers out 78732/78125 ([[sensipent comma]]) in the 5-limit; [[5120/5103]], [[50421/50000]], and 110592/109375 in the 7-limit; [[176/175]], 1331/1323, [[8019/8000]], and 26411/26244 in the 11-limit. The alternative 203cef val is also worth considering, which tempers out [[441/440]], [[896/891]], and [[3388/3375]] in the 11-limit; and [[196/195]], 352/351, [[364/363]], and 676/675 in the 13-limit.

	=== Odd harmonics ===		=== Odd harmonics ===

FloraC: Same fifth as 29edo, which is pretty good. Don't see a point to consider an alt fifith. It's not mentioned in the following sentences either.

2024-04-15T11:56:23Z

Same fifth as 29edo, which is pretty good. Don't see a point to consider an alt fifith. It's not mentioned in the following sentences either.

← Older revision		Revision as of 11:56, 15 April 2024
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	{{EDO intro}}		{{EDO intro}}

	203edo is in[[consistent]] to the [[5-odd-limit]] and higher, with ~~three~~ mappings possible for the 7-limit: {{val\| 203 322 471 570 }} ([[patent val]]), ~~{{val\| 203 '''321''' 471 '''569''' }} (203bd), and~~ {{val\| 203 322 '''472''' 570 }} (203c). Using the patent val, it [[tempering out\|tempers out]] 2109375/2097152 ([[semicomma]]) and {{monzo\| 4 -23 14 }} in the 5-limit; [[4000/3969]], [[10976/10935]], and [[2100875/2097152]] in the 7-limit; [[385/384]], 1331/1323, and [[4000/3993]] in the 11-limit; [[352/351]], [[676/675]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 203c val, it tempers out 78732/78125 ([[sensipent comma]]) ~~and [[29-comma]]~~ in the 5-limit; [[5120/5103]], [[50421/50000]], and 110592/109375 in the 7-limit; [[176/175]], 1331/1323, [[8019/8000]], and 26411/26244 in the 11-limit. ~~Using the 203ce~~ val, it tempers out [[441/440]], [[896/891]], and [[3388/3375]] in the 11-limit~~. Using the 203cef val, it tempers out~~ [[196/195]], 352/351, [[364/363]], 676/675~~, and 78732/78125~~ in the 13-limit.		203 = 7 × 29, and 203edo shares its [[3/2\|fifth]] with [[29edo]]. It is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 7-limit: {{val\| 203 322 471 570 }} ([[patent val]]), {{val\| 203 322 '''472''' 570 }} (203c). Using the patent val, it [[tempering out\|tempers out]] 2109375/2097152 ([[semicomma]]) and {{monzo\| 4 -23 14 }} in the 5-limit; [[4000/3969]], [[10976/10935]], and [[2100875/2097152]] in the 7-limit; [[385/384]], 1331/1323, and [[4000/3993]] in the 11-limit; [[352/351]], [[676/675]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 203c val, it tempers out 78732/78125 ([[sensipent comma]]) in the 5-limit; [[5120/5103]], [[50421/50000]], and 110592/109375 in the 7-limit; [[176/175]], 1331/1323, [[8019/8000]], and 26411/26244 in the 11-limit. The alternative 203cef val is also worth considering, which tempers out [[441/440]], [[896/891]], and [[3388/3375]] in the 11-limit; and [[196/195]], 352/351, [[364/363]], and 676/675 in the 13-limit.

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|203}}		{{Harmonics in equal\|203}}

			=== Subsets and supersets ===
			Since 203 factors into {{factorization\|203}}, 203edo contains [[7edo]] and [[29edo]] as its subsets.

FloraC: Cleanup

2024-04-13T12:08:26Z

Cleanup

← Older revision		Revision as of 12:08, 13 April 2024
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	{{EDO intro}}		{{EDO intro}}

	It is ~~inconsistent~~ to the 5-limit and higher, with three mappings possible for the 7-limit: ~~<~~203 322 471 570\| (patent val), ~~<~~203 321 471 569\| (203bd), and ~~<~~203 322 472 570\| (203c). Using the patent val, it tempers out ~~the semicomma,~~ 2109375/2097152 and ~~97656250000/94143178827~~ in the 5-limit; 4000/3969, 10976/10935, and 2100875/2097152 in the 7-limit; 385/384, 1331/1323, and 4000/3993 in the 11-limit; 352/351, 676/675, 1573/1568, and 1625/1617 in the 13-limit. Using the 203c val, it tempers out ~~the sensipent comma,~~ 78732/78125 and [[29-comma]] in the 5-limit; 5120/5103, 50421/50000, and 110592/109375 in the 7-limit; 176/175, 1331/1323, 8019/8000, and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out 441/440, 896/891, and 3388/3375 in the 11-limit. Using the 203cef val, it tempers out 196/195, 352/351, 364/363, 676/675, and 78732/78125 in the 13-limit.		203edo is in[[consistent]] to the [[5-odd-limit]] and higher, with three mappings possible for the 7-limit: {{val\| 203 322 471 570 }} ([[patent val]]), {{val\| 203 '''321''' 471 '''569''' }} (203bd), and {{val\| 203 322 '''472''' 570 }} (203c). Using the patent val, it [[tempering out\|tempers out]] 2109375/2097152 ([[semicomma]]) and {{monzo\| 4 -23 14 }} in the 5-limit; [[4000/3969]], [[10976/10935]], and [[2100875/2097152]] in the 7-limit; [[385/384]], 1331/1323, and [[4000/3993]] in the 11-limit; [[352/351]], [[676/675]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 203c val, it tempers out 78732/78125 ([[sensipent comma]]) and [[29-comma]] in the 5-limit; [[5120/5103]], [[50421/50000]], and 110592/109375 in the 7-limit; [[176/175]], 1331/1323, [[8019/8000]], and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out [[441/440]], [[896/891]], and [[3388/3375]] in the 11-limit. Using the 203cef val, it tempers out [[196/195]], 352/351, [[364/363]], 676/675, and 78732/78125 in the 13-limit.

	==~~Harmonics~~==		=== Odd harmonics ===
	{{Harmonics in equal\|203}}		{{Harmonics in equal\|203}}

	~~[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->~~

BudjarnLambeth: Intro & harmonics

2024-02-05T12:16:53Z

Intro & harmonics

← Older revision		Revision as of 12:16, 5 February 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''203edo''' is the [[~~EDO~~\|equal division of the octave]] into 203 parts of 5.9113 [[cent]]s each.~~ It is inconsistent to the 5-limit and higher ~~limit~~, with three mappings possible for the 7-limit: <203 322 471 570\| (patent val), <203 321 471 569\| (203bd), and <203 322 472 570\| (203c). Using the patent val, it tempers out the semicomma, 2109375/2097152 and 97656250000/94143178827 in the 5-limit; 4000/3969, 10976/10935, and 2100875/2097152 in the 7-limit; 385/384, 1331/1323, and 4000/3993 in the 11-limit; 352/351, 676/675, 1573/1568, and 1625/1617 in the 13-limit. Using the 203c val, it tempers out the sensipent comma, 78732/78125 and [[29-comma]] in the 5-limit; 5120/5103, 50421/50000, and 110592/109375 in the 7-limit; 176/175, 1331/1323, 8019/8000, and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out 441/440, 896/891, and 3388/3375 in the 11-limit. Using the 203cef val, it tempers out 196/195, 352/351, 364/363, 676/675, and 78732/78125 in the 13-limit.		{{EDO intro}}

			It is inconsistent to the 5-limit and higher, with three mappings possible for the 7-limit: <203 322 471 570\| (patent val), <203 321 471 569\| (203bd), and <203 322 472 570\| (203c). Using the patent val, it tempers out the semicomma, 2109375/2097152 and 97656250000/94143178827 in the 5-limit; 4000/3969, 10976/10935, and 2100875/2097152 in the 7-limit; 385/384, 1331/1323, and 4000/3993 in the 11-limit; 352/351, 676/675, 1573/1568, and 1625/1617 in the 13-limit. Using the 203c val, it tempers out the sensipent comma, 78732/78125 and [[29-comma]] in the 5-limit; 5120/5103, 50421/50000, and 110592/109375 in the 7-limit; 176/175, 1331/1323, 8019/8000, and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out 441/440, 896/891, and 3388/3375 in the 11-limit. Using the 203cef val, it tempers out 196/195, 352/351, 364/363, 676/675, and 78732/78125 in the 13-limit.

			==Harmonics==
			{{Harmonics in equal\|203}}

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Plumtree: Infobox ET added

2022-10-04T21:20:08Z

Infobox ET added

← Older revision		Revision as of 21:20, 4 October 2022
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			{{Infobox ET}}
	'''203edo''' is the [[EDO\|equal division of the octave]] into 203 parts of 5.9113 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit: <203 322 471 570\| (patent val), <203 321 471 569\| (203bd), and <203 322 472 570\| (203c). Using the patent val, it tempers out the semicomma, 2109375/2097152 and 97656250000/94143178827 in the 5-limit; 4000/3969, 10976/10935, and 2100875/2097152 in the 7-limit; 385/384, 1331/1323, and 4000/3993 in the 11-limit; 352/351, 676/675, 1573/1568, and 1625/1617 in the 13-limit. Using the 203c val, it tempers out the sensipent comma, 78732/78125 and [[29-comma]] in the 5-limit; 5120/5103, 50421/50000, and 110592/109375 in the 7-limit; 176/175, 1331/1323, 8019/8000, and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out 441/440, 896/891, and 3388/3375 in the 11-limit. Using the 203cef val, it tempers out 196/195, 352/351, 364/363, 676/675, and 78732/78125 in the 13-limit.		'''203edo''' is the [[EDO\|equal division of the octave]] into 203 parts of 5.9113 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit: <203 322 471 570\| (patent val), <203 321 471 569\| (203bd), and <203 322 472 570\| (203c). Using the patent val, it tempers out the semicomma, 2109375/2097152 and 97656250000/94143178827 in the 5-limit; 4000/3969, 10976/10935, and 2100875/2097152 in the 7-limit; 385/384, 1331/1323, and 4000/3993 in the 11-limit; 352/351, 676/675, 1573/1568, and 1625/1617 in the 13-limit. Using the 203c val, it tempers out the sensipent comma, 78732/78125 and [[29-comma]] in the 5-limit; 5120/5103, 50421/50000, and 110592/109375 in the 7-limit; 176/175, 1331/1323, 8019/8000, and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out 441/440, 896/891, and 3388/3375 in the 11-limit. Using the 203cef val, it tempers out 196/195, 352/351, 364/363, 676/675, and 78732/78125 in the 13-limit.

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Fredg999 category edits: Sort key

2022-07-03T18:32:00Z

Sort key

← Older revision		Revision as of 18:32, 3 July 2022
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	'''203edo''' is the [[EDO\|equal division of the octave]] into 203 parts of 5.9113 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit: <203 322 471 570\| (patent val), <203 321 471 569\| (203bd), and <203 322 472 570\| (203c). Using the patent val, it tempers out the semicomma, 2109375/2097152 and 97656250000/94143178827 in the 5-limit; 4000/3969, 10976/10935, and 2100875/2097152 in the 7-limit; 385/384, 1331/1323, and 4000/3993 in the 11-limit; 352/351, 676/675, 1573/1568, and 1625/1617 in the 13-limit. Using the 203c val, it tempers out the sensipent comma, 78732/78125 and [[29-comma]] in the 5-limit; 5120/5103, 50421/50000, and 110592/109375 in the 7-limit; 176/175, 1331/1323, 8019/8000, and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out 441/440, 896/891, and 3388/3375 in the 11-limit. Using the 203cef val, it tempers out 196/195, 352/351, 364/363, 676/675, and 78732/78125 in the 13-limit.		'''203edo''' is the [[EDO\|equal division of the octave]] into 203 parts of 5.9113 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit: <203 322 471 570\| (patent val), <203 321 471 569\| (203bd), and <203 322 472 570\| (203c). Using the patent val, it tempers out the semicomma, 2109375/2097152 and 97656250000/94143178827 in the 5-limit; 4000/3969, 10976/10935, and 2100875/2097152 in the 7-limit; 385/384, 1331/1323, and 4000/3993 in the 11-limit; 352/351, 676/675, 1573/1568, and 1625/1617 in the 13-limit. Using the 203c val, it tempers out the sensipent comma, 78732/78125 and [[29-comma]] in the 5-limit; 5120/5103, 50421/50000, and 110592/109375 in the 7-limit; 176/175, 1331/1323, 8019/8000, and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out 441/440, 896/891, and 3388/3375 in the 11-limit. Using the 203cef val, it tempers out 196/195, 352/351, 364/363, 676/675, and 78732/78125 in the 13-limit.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Keenan Pepper category edits: Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

2020-12-04T23:13:17Z

Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

← Older revision		Revision as of 23:13, 4 December 2020
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	'''203edo''' is the [[EDO\|equal division of the octave]] into 203 parts of 5.9113 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit: <203 322 471 570\| (patent val), <203 321 471 569\| (203bd), and <203 322 472 570\| (203c). Using the patent val, it tempers out the semicomma, 2109375/2097152 and 97656250000/94143178827 in the 5-limit; 4000/3969, 10976/10935, and 2100875/2097152 in the 7-limit; 385/384, 1331/1323, and 4000/3993 in the 11-limit; 352/351, 676/675, 1573/1568, and 1625/1617 in the 13-limit. Using the 203c val, it tempers out the sensipent comma, 78732/78125 and [[29-comma]] in the 5-limit; 5120/5103, 50421/50000, and 110592/109375 in the 7-limit; 176/175, 1331/1323, 8019/8000, and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out 441/440, 896/891, and 3388/3375 in the 11-limit. Using the 203cef val, it tempers out 196/195, 352/351, 364/363, 676/675, and 78732/78125 in the 13-limit.		'''203edo''' is the [[EDO\|equal division of the octave]] into 203 parts of 5.9113 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit: <203 322 471 570\| (patent val), <203 321 471 569\| (203bd), and <203 322 472 570\| (203c). Using the patent val, it tempers out the semicomma, 2109375/2097152 and 97656250000/94143178827 in the 5-limit; 4000/3969, 10976/10935, and 2100875/2097152 in the 7-limit; 385/384, 1331/1323, and 4000/3993 in the 11-limit; 352/351, 676/675, 1573/1568, and 1625/1617 in the 13-limit. Using the 203c val, it tempers out the sensipent comma, 78732/78125 and [[29-comma]] in the 5-limit; 5120/5103, 50421/50000, and 110592/109375 in the 7-limit; 176/175, 1331/1323, 8019/8000, and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out 441/440, 896/891, and 3388/3375 in the 11-limit. Using the 203cef val, it tempers out 196/195, 352/351, 364/363, 676/675, and 78732/78125 in the 13-limit.

	[[Category:~~Edo~~]]		[[Category:Equal divisions of the octave]]

Xenllium: Created page with "'''203edo''' is the equal division of the octave into 203 parts of 5.9113 cents each. It is inconsistent to the 5-limit and higher limit, with three mappings possi..."

2019-03-07T03:40:47Z

Created page with "'''203edo''' is the equal division of the octave into 203 parts of 5.9113 cents each. It is inconsistent to the 5-limit and higher limit, with three mappings possi..."

New page

'''203edo''' is the [[EDO|equal division of the octave]] into 203 parts of 5.9113 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit: <203 322 471 570| (patent val), <203 321 471 569| (203bd), and <203 322 472 570| (203c). Using the patent val, it tempers out the semicomma, 2109375/2097152 and 97656250000/94143178827 in the 5-limit; 4000/3969, 10976/10935, and 2100875/2097152 in the 7-limit; 385/384, 1331/1323, and 4000/3993 in the 11-limit; 352/351, 676/675, 1573/1568, and 1625/1617 in the 13-limit. Using the 203c val, it tempers out the sensipent comma, 78732/78125 and [[29-comma]] in the 5-limit; 5120/5103, 50421/50000, and 110592/109375 in the 7-limit; 176/175, 1331/1323, 8019/8000, and 26411/26244 in the 11-limit. Using the 203ce val, it tempers out 441/440, 896/891, and 3388/3375 in the 11-limit. Using the 203cef val, it tempers out 196/195, 352/351, 364/363, 676/675, and 78732/78125 in the 13-limit.

[[Category:Edo]]