102edo - Revision history

ArrowHead294 at 16:46, 18 February 2025

2025-02-18T16:46:22Z

← Older revision		Revision as of 16:46, 18 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|102~~}}		{{ED intro}}

	== Theory ==		== Theory ==

FloraC: Cleanup

2024-06-10T16:24:59Z

Cleanup

@@ Line 2: / Line 2: @@
 {{EDO intro|102}}
-In the [[5-limit|5-limit]] it [[tempering_out|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo|34edo]]. In the [[7-limit|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit|13-limit]] 91/90 and 169/168; in the [[17-limit|17-limit]] 136/135 and 154/153; and in the [[19-limit|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic|echidnic temperament]], and the rank five temperament tempering out 91/90.
+== Theory ==
-== Harmonics ==
+=== Odd harmonics ===
 {{Harmonics in equal|102}}
@@ Line 10: / Line 11: @@
 {{Interval table}}
 [[Category:Echidnic]]

BudjarnLambeth: Add Edo intro

2024-01-25T08:59:12Z

Add Edo intro

← Older revision		Revision as of 08:59, 25 January 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	~~'''102edo''' is the [[Equal_division_of_the_octave~~\|~~equal division of the octave]] into~~ 102 ~~steps of size 11.765 [[cent]]s each.~~ In the [[5-limit\|5-limit]] it [[tempering_out\|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo\|34edo]]. In the [[7-limit\|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit\|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit\|13-limit]] 91/90 and 169/168; in the [[17-limit\|17-limit]] 136/135 and 154/153; and in the [[19-limit\|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val\|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic\|echidnic temperament]], and the rank five temperament tempering out 91/90.		{{EDO intro\|102}}

			In the [[5-limit\|5-limit]] it [[tempering_out\|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo\|34edo]]. In the [[7-limit\|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit\|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit\|13-limit]] 91/90 and 169/168; in the [[17-limit\|17-limit]] 136/135 and 154/153; and in the [[19-limit\|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val\|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic\|echidnic temperament]], and the rank five temperament tempering out 91/90.

	== Harmonics ==		== Harmonics ==

BudjarnLambeth: Made heading style consistent with other edo pages, replaced old harmonics template with new one, added interval table

2024-01-20T00:50:23Z

Made heading style consistent with other edo pages, replaced old harmonics template with new one, added interval table

← Older revision		Revision as of 00:50, 20 January 2024
Line 2:		Line 2:
	'''102edo''' is the [[Equal_division_of_the_octave\|equal division of the octave]] into 102 steps of size 11.765 [[cent]]s each. In the [[5-limit\|5-limit]] it [[tempering_out\|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo\|34edo]]. In the [[7-limit\|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit\|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit\|13-limit]] 91/90 and 169/168; in the [[17-limit\|17-limit]] 136/135 and 154/153; and in the [[19-limit\|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val\|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic\|echidnic temperament]], and the rank five temperament tempering out 91/90.		'''102edo''' is the [[Equal_division_of_the_octave\|equal division of the octave]] into 102 steps of size 11.765 [[cent]]s each. In the [[5-limit\|5-limit]] it [[tempering_out\|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo\|34edo]]. In the [[7-limit\|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit\|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit\|13-limit]] 91/90 and 169/168; in the [[17-limit\|17-limit]] 136/135 and 154/153; and in the [[19-limit\|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val\|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic\|echidnic temperament]], and the rank five temperament tempering out 91/90.

	==~~= Prime harmonics =~~==		== Harmonics ==
	{{~~Primes~~ in ~~edo~~\|102}}		{{Harmonics in equal\|102}}

	===13-limit Echidnic===		== Intervals ==
			{{Interval table}}

			== 13-limit Echidnic ==

	{\| class="wikitable"		{\| class="wikitable"

Eliora at 21:11, 30 May 2023

2023-05-30T21:11:22Z

Show changes

Yourmusic Productions: Primes table

2023-03-30T09:15:10Z

Primes table

← Older revision		Revision as of 09:15, 30 March 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''102edo''' is the [[Equal_division_of_the_octave\|equal division of the octave]] into 102 steps of size 11.765 [[cent]]s each. In the [[5-limit\|5-limit]] it [[tempering_out\|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo\|34edo]]. In the [[7-limit\|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit\|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit\|13-limit]] 91/90 and 169/168; in the [[17-limit\|17-limit]] 136/135 and 154/153; and in the [[19-limit\|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val\|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic\|echidnic temperament]], and the rank five temperament tempering out 91/90.		'''102edo''' is the [[Equal_division_of_the_octave\|equal division of the octave]] into 102 steps of size 11.765 [[cent]]s each. In the [[5-limit\|5-limit]] it [[tempering_out\|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo\|34edo]]. In the [[7-limit\|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit\|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit\|13-limit]] 91/90 and 169/168; in the [[17-limit\|17-limit]] 136/135 and 154/153; and in the [[19-limit\|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val\|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic\|echidnic temperament]], and the rank five temperament tempering out 91/90.

			=== Prime harmonics ===
			{{Primes in edo\|102}}

	===13-limit Echidnic===		===13-limit Echidnic===

Aura at 18:48, 4 October 2022

2022-10-04T18:48:05Z

← Older revision		Revision as of 18:48, 4 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''102edo''' is the [[Equal_division_of_the_octave\|equal division of the octave]] into 102 steps of size 11.765 [[cent]]s each. In the [[5-limit\|5-limit]] it [[tempering_out\|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo\|34edo]]. In the [[7-limit\|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit\|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit\|13-limit]] 91/90 and 169/168; in the [[17-limit\|17-limit]] 136/135 and 154/153; and in the [[19-limit\|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val\|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic\|echidnic temperament]], and the rank five temperament tempering out 91/90.		'''102edo''' is the [[Equal_division_of_the_octave\|equal division of the octave]] into 102 steps of size 11.765 [[cent]]s each. In the [[5-limit\|5-limit]] it [[tempering_out\|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo\|34edo]]. In the [[7-limit\|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit\|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit\|13-limit]] 91/90 and 169/168; in the [[17-limit\|17-limit]] 136/135 and 154/153; and in the [[19-limit\|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val\|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic\|echidnic temperament]], and the rank five temperament tempering out 91/90.

Fredg999 category edits: Sort key

2022-07-02T16:16:19Z

Sort key

← Older revision		Revision as of 16:16, 2 July 2022
Line 351:		Line 351:
	\|21L 60s		\|21L 60s
	\|}		\|}
	[[Category:~~echidnic~~]]
	[[Category:~~Equal divisions of the octave~~]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
			[[Category:Echidnic]]

Moremajorthanmajor: /* 13-limit Echidnic */

2021-04-20T19:42:56Z

13-limit Echidnic

← Older revision		Revision as of 19:42, 20 April 2021
Line 139:		Line 139:
	\|-		\|-
	\|14		\|14
	\|[[~~3L 11s~~]]		\|[[4L 10s]]
	\|-		\|-
	\|15		\|15

Moremajorthanmajor at 19:29, 20 April 2021

2021-04-20T19:29:06Z

Show changes