Septidiasemi - Revision history

Overthink: + todo

2025-12-02T07:46:47Z

+ todo

← Older revision		Revision as of 07:46, 2 December 2025
Line 1:		Line 1:
			{{todo\|cleanup}}
	'''Septidiasemi''', in this article, is the [[Rank-2 temperament\|rank-two regular temperament]] for the 2.3.5.7.13.17 [[subgroup]] defined by [[tempering out]] 2401/2400 and 2152828125/2147483648 in the 7-limit; 2205/2197 and 4096/4095 in the 13-limit; 833/832, 1275/1274, and 2025/2023 in the 17-limit.		'''Septidiasemi''', in this article, is the [[Rank-2 temperament\|rank-two regular temperament]] for the 2.3.5.7.13.17 [[subgroup]] defined by [[tempering out]] 2401/2400 and 2152828125/2147483648 in the 7-limit; 2205/2197 and 4096/4095 in the 13-limit; 833/832, 1275/1274, and 2025/2023 in the 17-limit.

Fredg999: Remove link to deleted page

2025-08-11T01:38:31Z

Remove link to deleted page

← Older revision		Revision as of 01:38, 11 August 2025
Line 382:		Line 382:
	== See also ==		== See also ==
	* [[15/14]] - septimal diatonic semitone		* [[15/14]] - septimal diatonic semitone
	* [[15/14ths equal temperament\|15/14s equal temperament]]

	[[Category:Septidiasemi\| ]] <!-- main article -->		[[Category:Septidiasemi\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:Breedsmic temperaments]]		[[Category:Breedsmic temperaments]]

FloraC: - parent category

2025-04-28T14:40:22Z

- parent category

← Older revision		Revision as of 14:40, 28 April 2025
Line 384:		Line 384:
	* [[15/14ths equal temperament\|15/14s equal temperament]]		* [[15/14ths equal temperament\|15/14s equal temperament]]

	[[Category:~~Temperaments~~]]		[[Category:Septidiasemi\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:~~Breed~~]]		[[Category:Breedsmic temperaments]]

Lériendil at 23:46, 19 April 2025

2025-04-19T23:46:16Z

← Older revision		Revision as of 23:46, 19 April 2025
Line 385:		Line 385:

	[[Category:Temperaments]]		[[Category:Temperaments]]
			[[Category:Rank-2 temperaments]]
	[[Category:Breed]]		[[Category:Breed]]

BudjarnLambeth: added links

2025-04-13T10:41:28Z

added links

← Older revision		Revision as of 10:41, 13 April 2025
Line 1:		Line 1:
	'''Septidiasemi''', in this article, is the rank-two regular temperament for the 2.3.5.7.13.17 subgroup defined by tempering out 2401/2400 and 2152828125/2147483648 in the 7-limit; 2205/2197 and 4096/4095 in the 13-limit; 833/832, 1275/1274, and 2025/2023 in the 17-limit.		'''Septidiasemi''', in this article, is the [[Rank-2 temperament\|rank-two regular temperament]] for the 2.3.5.7.13.17 [[subgroup]] defined by [[tempering out]] 2401/2400 and 2152828125/2147483648 in the 7-limit; 2205/2197 and 4096/4095 in the 13-limit; 833/832, 1275/1274, and 2025/2023 in the 17-limit.

	It can be seen as implying a rank-two tuning which is [[generator\|generated]] by a large semitone of about 119.3 cents which represents [[15/14]] (septimal diatonic semitone) and from this it derives its name. Equal temperaments that support septidiasemi include [[10edo\|10EDO]] (generator 1\10), [[151edo\|151EDO]] (generator 15\151), [[161edo\|161EDO]] (generator 16\161), and [[171edo\|171EDO]] (generator 17\171).		It can be seen as implying a rank-two tuning which is [[generator\|generated]] by a large semitone of about 119.3 cents which represents [[15/14]] (septimal diatonic semitone) and from this it derives its name. Equal temperaments that support septidiasemi include [[10edo\|10EDO]] (generator 1\10), [[151edo\|151EDO]] (generator 15\151), [[161edo\|161EDO]] (generator 16\161), and [[171edo\|171EDO]] (generator 17\171).

Fredg999 category edits: Moving from Category:Temperament to Category:Temperaments using Cat-a-lot

2022-02-28T22:34:44Z

Moving from Category:Temperament to Category:Temperaments using Cat-a-lot

← Older revision		Revision as of 22:34, 28 February 2022
Line 384:		Line 384:
	* [[15/14ths equal temperament\|15/14s equal temperament]]		* [[15/14ths equal temperament\|15/14s equal temperament]]

	[[Category:~~Temperament~~]]		[[Category:Temperaments]]
	[[Category:Breed]]		[[Category:Breed]]

Xenllium at 22:05, 20 May 2021

2021-05-20T22:05:34Z

← Older revision		Revision as of 22:05, 20 May 2021
Line 22:		Line 22:
	\| 2		\| 2
	\| 238.593		\| 238.593
	\|		\| 39/34
	\|-		\|-
	\| 3		\| 3
Line 30:		Line 30:
	\| 4		\| 4
	\| 477.186		\| 477.186
	\|		\| 112/85, 120/91
	\|-		\|-
	\| 5		\| 5
Line 38:		Line 38:
	\| 6		\| 6
	\| 715.779		\| 715.779
	\|		\| 68/45
	\|-		\|-
	\| 7		\| 7
Line 54:		Line 54:
	\| 10		\| 10
	\| 1192.965		\| 1192.965
	\|		\| 448/225, 255/128, <br>544/273, 576/289
	\|-		\|-
	\| 11		\| 11
Line 66:		Line 66:
	\| 13		\| 13
	\| 350.855		\| 350.855
	\|		\| 60/49, 49/40
	\|-		\|-
	\| 14		\| 14
Line 78:		Line 78:
	\| 16		\| 16
	\| 708.745		\| 708.745
	\|		\| 128/85
	\|-		\|-
	\| 17		\| 17
Line 90:		Line 90:
	\| 19		\| 19
	\| 1066.634		\| 1066.634
	\|		\| (close to 50/27)
	\|-		\|-
	\| 20		\| 20
	\| 1185.931		\| 1185.931
	\|		\| 119/60, 135/68
	\|-		\|-
	\| 21		\| 21
Line 106:		Line 106:
	\| 23		\| 23
	\| 343.820		\| 343.820
	\|		\| 39/32
	\|-		\|-
	\| 24		\| 24
Line 134:		Line 134:
	\| 30		\| 30
	\| 1178.896		\| 1178.896
	\|		\| (close to 160/81)
	\|-		\|-
	\| 31		\| 31
Line 158:		Line 158:
	\| 36		\| 36
	\| 694.676		\| 694.676
	\|		\| 112/75
	\|-		\|-
	\| 37		\| 37
Line 174:		Line 174:
	\| 40		\| 40
	\| 1171.862		\| 1171.862
	\| 63/32~128/65		\| 63/32, 128/65
	\|-		\|-
	\| 41		\| 41
Line 254:		Line 254:
	\| 60		\| 60
	\| 1157.793		\| 1157.793
	\|		\| 39/20
	\|-		\|-
	\| 61		\| 61
Line 338:		Line 338:
	\| 81		\| 81
	\| 63.020		\| 63.020
	\|		\| (close to 28/27)
	\|-		\|-
	\| 82		\| 82
Line 366:		Line 366:
	\| 88		\| 88
	\| 898.096		\| 898.096
	\|		\| 42/25
	\|-		\|-
	\| 89		\| 89
	\| 1017.392		\| 1017.392
	\| 9/5		\| 9/5
			\|-
			\| 90
			\| 1136.689
			\| 27/14
	\|}		\|}

Xenwolf: /* Intervals */ text alignment in cells, column headers

2021-05-20T16:10:03Z

Intervals: text alignment in cells, column headers

← Older revision		Revision as of 16:10, 20 May 2021
Line 6:		Line 6:

	== Intervals ==		== Intervals ==
	{\| class="wikitable right-1"		{\| class="wikitable right-all center-3"
	\|-		\|-
	! ~~Generators~~		! Generator <br> steps
	! Cents<sup>*</sup>		! Cents<sup>*</sup>
	! Approximate ratios<sup>†</sup>		! Approximate <br> ratios<sup>†</sup>
	\|-		\|-
	\| 0		\| 0

Xenllium at 12:50, 20 May 2021

2021-05-20T12:50:39Z

Show changes

Xenllium: Created page with "'''Septidiasemi''', in this article, is the rank-two regular temperament for the 2.3.5.7.13.17 subgroup defined by tempering out 2401/2400 and 2152828125/2147483648 in the 7-l..."

2021-05-19T12:59:27Z

Created page with "'''Septidiasemi''', in this article, is the rank-two regular temperament for the 2.3.5.7.13.17 subgroup defined by tempering out 2401/2400 and 2152828125/2147483648 in the 7-l..."

New page

'''Septidiasemi''', in this article, is the rank-two regular temperament for the 2.3.5.7.13.17 subgroup defined by tempering out 2401/2400 and 2152828125/2147483648 in the 7-limit; 2205/2197 and 4096/4095 in the 13-limit; 833/832, 1275/1274, and 2025/2023 in the 17-limit.

It can be seen as implying a rank-two tuning which is [[generator|generated]] by a large semitone of about 119.3 cents which represents [[15/14]] (septimal diatonic semitone) and from this it derives its name. Equal temperaments that support septidiasemi include [[10edo|10EDO]] (generator 1\10), [[151edo|151EDO]] (generator 15\151), [[161edo|161EDO]] (generator 16\161), and [[171edo|171EDO]] (generator 17\171).

See [[Breedsmic temperaments #Septidiasemi]] for more technical data.

== See also ==
* [[15/14]] - septimal diatonic semitone
* [[15/14ths equal temperament|15/14s equal temperament]]

[[Category:Temperament]]
[[Category:Breed]]