13ed5/2 - Revision history

BudjarnLambeth: Harmonics

2024-10-04T08:42:45Z

Harmonics

@@ Line 5: / Line 5: @@
 Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. In this regard, it could be considered a "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the octatonic scale of 5/2-equivalent jubilic ([[5L 3s (5/2-equivalent)|5L 3s⟨5/2⟩]]). It also tempers out [[56/55]] in the 11-limit and [[26/25]], [[52/49]] and [[65/64]] in the 13-limit.
-{{Harmonics in equal|13|5|2}}
+== Harmonics ==
 == Intervals ==

CompactStar at 00:52, 12 July 2023

2023-07-12T00:52:49Z

← Older revision		Revision as of 00:52, 12 July 2023
Line 18:		Line 18:
	\|0.000		\|0.000
	\|[[1/1]]		\|[[1/1]]
	\|C		\|J
	\|-		\|-
	\|1		\|1
	\|122.024		\|122.024
	\|[[14/13]], [[35/32]]		\|[[14/13]], [[35/32]]
	\|C#, Db		\|J&, K@
	\|-		\|-
	\|2		\|2
	\|244.048		\|244.048
	\|[[8/7]], [[28/25]]		\|[[8/7]], [[28/25]]
	\|D		\|K
	\|-		\|-
	\|3		\|3
	\|366.072		\|366.072
	\|[[5/4]], [[16/13]], [[49/40]]		\|[[5/4]], [[16/13]], [[49/40]]
	\|~~D#, Eb~~		\|L
	\|-		\|-
	\|4		\|4
	\|488.096		\|488.096
	\|[[32/25]], [[64/49]]		\|[[32/25]], [[64/49]]
	\|E		\|L&, M@
	\|-		\|-
	\|5		\|5
	\|610.120		\|610.120
	\|[[7/5]], [[10/7]]		\|[[7/5]], [[10/7]]
	\|F		\|M
	\|-		\|-
	\|6		\|6
	\|732.144		\|732.144
	\|[[20/13]], [[25/16]], [[49/32]]		\|[[20/13]], [[25/16]], [[49/32]]
	\|F#, Gb		\|M&, N@
	\|-		\|-
	\|7		\|7
	\|854.168		\|854.168
	\|[[8/5]], [[13/8]]		\|[[8/5]], [[13/8]]
	\|G		\|N
	\|-		\|-
	\|8		\|8
	\|976.192		\|976.192
	\|[[7/4]], [[25/14]]		\|[[7/4]], [[25/14]]
	\|H		\|O
	\|-		\|-
	\|9		\|9
	\|1098.216		\|1098.216
	\|[[13/7]], [[64/35]]		\|[[13/7]], [[64/35]]
	\|H#, Ab		\|O&, P@
	\|-		\|-
	\|10		\|10
	\|1220.240		\|1220.240
	\|[[2/1]], [[49/25]], 52/25		\|[[2/1]], [[49/25]], 52/25
	\|A		\|P
	\|-		\|-
	\|11		\|11
	\|1342.264		\|1342.264
	\|35/16		\|35/16
	\|~~A#, Bb~~		\|Q
	\|-		\|-
	\|12		\|12
	\|1464.288		\|1464.288
	\|[[16/7]]		\|[[16/7]]
	\|B		\|Q&, J@
	\|-		\|-
	\|13		\|13
	\|1586.312		\|1586.312
	\|[[5/2]]		\|[[5/2]]
	\|C		\|J
	\|}		\|}

	<nowiki>*</nowiki> Based on treating 13ed5/2 as a 5/2.5.7.13 subgroup temperament		<nowiki>*</nowiki> Based on treating 13ed5/2 as a 5/2.5.7.13 subgroup temperament

CompactStar: /* Theory */

2023-07-02T02:03:05Z

Theory

← Older revision		Revision as of 02:03, 2 July 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
	Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. In this regard, it could be considered a "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the octatonic scale of 5/2-equivalent jubilic ([[~~3L 5s~~ (5/2-equivalent)\|~~3L 5s⟨5~~/2⟩]]). It also tempers out [[56/55]] in the 11-limit and [[26/25]], [[52/49]] and [[65/64]] in the 13-limit.		Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. In this regard, it could be considered a "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the octatonic scale of 5/2-equivalent jubilic ([[5L 3s (5/2-equivalent)\|5L 3s⟨5/2⟩]]). It also tempers out [[56/55]] in the 11-limit and [[26/25]], [[52/49]] and [[65/64]] in the 13-limit.

	{{Harmonics in equal\|13\|5\|2}}		{{Harmonics in equal\|13\|5\|2}}

CompactStar at 07:25, 25 June 2023

2023-06-25T07:25:13Z

← Older revision		Revision as of 07:25, 25 June 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
	Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. In this regard, it could be considered a "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the octatonic scale of 5/2-equivalent jubilic ([[3L 5s (5/2-equivalent)\|3L 5s⟨5/2⟩]]). It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.		Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. In this regard, it could be considered a "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the octatonic scale of 5/2-equivalent jubilic ([[3L 5s (5/2-equivalent)\|3L 5s⟨5/2⟩]]). It also tempers out [[56/55]] in the 11-limit and [[26/25]], [[52/49]] and [[65/64]] in the 13-limit.

	{{Harmonics in equal\|13\|5\|2}}		{{Harmonics in equal\|13\|5\|2}}

CompactStar at 01:09, 25 June 2023

2023-06-25T01:09:08Z

← Older revision		Revision as of 01:09, 25 June 2023
Line 22:		Line 22:
	\|1		\|1
	\|122.024		\|122.024
	\|[[35/32]]		\|[[14/13]], [[35/32]]
	\|C#, Db		\|C#, Db
	\|-		\|-
Line 62:		Line 62:
	\|9		\|9
	\|1098.216		\|1098.216
	\|[[64/35]]		\|[[13/7]], [[64/35]]
	\|H#, Ab		\|H#, Ab
	\|-		\|-

CompactStar at 00:59, 25 June 2023

2023-06-25T00:59:58Z

← Older revision		Revision as of 00:59, 25 June 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
	Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. In this regard, it could be considered "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the octatonic scale of 5/2-equivalent jubilic ([[3L 5s (5/2-equivalent)\|3L 5s⟨5/2⟩]]). It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.		Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. In this regard, it could be considered a "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the octatonic scale of 5/2-equivalent jubilic ([[3L 5s (5/2-equivalent)\|3L 5s⟨5/2⟩]]). It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.

	{{Harmonics in equal\|13\|5\|2}}		{{Harmonics in equal\|13\|5\|2}}

CompactStar at 00:58, 25 June 2023

2023-06-25T00:58:52Z

← Older revision		Revision as of 00:58, 25 June 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
	Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. ~~It is somewhat of the~~ "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the ~~jubilic~~ octatonic scale [[3L 5s (5/2-equivalent)\|3L 5s⟨5/2⟩]]. It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.		Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. In this regard, it could be considered "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the octatonic scale of 5/2-equivalent jubilic ([[3L 5s (5/2-equivalent)\|3L 5s⟨5/2⟩]]). It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.

	{{Harmonics in equal\|13\|5\|2}}		{{Harmonics in equal\|13\|5\|2}}

CompactStar at 00:55, 25 June 2023

2023-06-25T00:55:14Z

← Older revision		Revision as of 00:55, 25 June 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
	Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. It is somewhat of the "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the jubilic octatonic scale [[3L 5s (5/2-equivalent)\|3L ~~5s&langle;5~~/~~2&rangle;~~]]. It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.		Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. It is somewhat of the "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the jubilic octatonic scale [[3L 5s (5/2-equivalent)\|3L 5s⟨5/2⟩]]. It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.

	{{Harmonics in equal\|13\|5\|2}}		{{Harmonics in equal\|13\|5\|2}}

CompactStar at 00:54, 25 June 2023

2023-06-25T00:54:59Z

← Older revision		Revision as of 00:54, 25 June 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
	Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. It is somewhat of the "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the jubilic octatonic scale [[3L 5s (5/2-equivalent)\|3L 5s<5/2>]]. It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.		Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. It is somewhat of the "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the jubilic octatonic scale [[3L 5s (5/2-equivalent)\|3L 5s&langle;5/2&rangle;]]. It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.

	{{Harmonics in equal\|13\|5\|2}}		{{Harmonics in equal\|13\|5\|2}}

CompactStar at 00:54, 25 June 2023

2023-06-25T00:54:52Z

← Older revision		Revision as of 00:54, 25 June 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
	Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.		Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilic temperament with a generator of ~[[7/5]]. It is somewhat of the "no-threes cousin" of [[12edo]] and [[13edt]], having the basic tuning for the jubilic octatonic scale [[3L 5s (5/2-equivalent)\|3L 5s<5/2>]]. It also tempers out [[56/55]] in the 11-limit and [[65/64]] in the 13-limit.

	{{Harmonics in equal\|13\|5\|2}}		{{Harmonics in equal\|13\|5\|2}}