1ed9/8 - Revision history

Fredg999: Propose merge

2025-08-01T14:12:42Z

Propose merge

← Older revision		Revision as of 14:12, 1 August 2025
Line 1:		Line 1:
			{{todo\|merge articles\|inline=1\|text=Merge into [[9/8]]?}}
	'''9/8 equal temperament''' or '''1ed9/8''' is the use of a just [[9/8]] whole tone as the basis of an equal temperament tuning. It results in an interesting non-octave tuning. As every interval is a multiple of 9/8, the resultant tuning would be a subset of [[3-limit\|3-limit]] [[Just_intonation\|Just Intonation]]. This can be also viewed as generating a subset of [[baldy]] temperament.		'''9/8 equal temperament''' or '''1ed9/8''' is the use of a just [[9/8]] whole tone as the basis of an equal temperament tuning. It results in an interesting non-octave tuning. As every interval is a multiple of 9/8, the resultant tuning would be a subset of [[3-limit\|3-limit]] [[Just_intonation\|Just Intonation]]. This can be also viewed as generating a subset of [[baldy]] temperament.

BudjarnLambeth at 03:37, 19 May 2025

2025-05-19T03:37:54Z

← Older revision		Revision as of 03:37, 19 May 2025
Line 1:		Line 1:
	'''9/8 equal temperament'''		'''9/8 equal temperament''' or '''1ed9/8''' is the use of a just [[9/8]] whole tone as the basis of an equal temperament tuning. It results in an interesting non-octave tuning. As every interval is a multiple of 9/8, the resultant tuning would be a subset of [[3-limit\|3-limit]] [[Just_intonation\|Just Intonation]]. This can be also viewed as generating a subset of [[baldy]] temperament.

	~~Using~~ a ~~Just~~ [[~~9/8\|~~9/8]] whole tone as the basis of an equal temperament tuning results in an interesting non-octave tuning. As every interval is a multiple of 9/8, the resultant tuning would be a subset of [[3-limit\|3-limit]] [[Just_intonation\|Just Intonation]]. This can be also viewed as generating a subset of [[~~Baldy\|~~baldy]] temperament.

	==Intervals as 3-limit ratios==		==Intervals as 3-limit ratios==

BudjarnLambeth: /* Music */

2025-05-19T03:36:56Z

Music

← Older revision		Revision as of 03:36, 19 May 2025
Line 98:		Line 98:

	== Music ==		== Music ==
	* [http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20110707_piano_tibetan_bowls_and_bells_nine_eights.mp3 A Bowl of Tibetan Bells]'' by [[Chris Vaisvil]] ([http://chrisvaisvil.com/?p=1019 composition details])		* ''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20110707_piano_tibetan_bowls_and_bells_nine_eights.mp3 A Bowl of Tibetan Bells]'' by [[Chris Vaisvil]] ([http://chrisvaisvil.com/?p=1019 composition details])
	* ''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20111020-zeta-einstein.mp3 A Sonnet for Albert Einstein]'' by [[Chris Vaisvil]] ([http://chrisvaisvil.com/?p=1473 composition details])		* ''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20111020-zeta-einstein.mp3 A Sonnet for Albert Einstein]'' by [[Chris Vaisvil]] ([http://chrisvaisvil.com/?p=1473 composition details])

BudjarnLambeth: Cleanup

2025-05-19T03:36:39Z

Cleanup

@@ Line 2: / Line 2: @@
 Using a Just [[9/8|9/8]] whole tone as the basis of an equal temperament tuning results in an interesting non-octave tuning. As every interval is a multiple of 9/8, the resultant tuning would be a subset of [[3-limit|3-limit]] [[Just_intonation|Just Intonation]]. This can be also viewed as generating a subset of [[Baldy|baldy]] temperament.
 ==Intervals as 3-limit ratios==
 {| class="wikitable"
 |-
@@ Line 100: / Line 61: @@
 | | 2446.92
 |}
 [[Category:9/8]]
 [[Category:equal_temperament]]

BudjarnLambeth at 03:34, 19 May 2025

2025-05-19T03:34:33Z

← Older revision		Revision as of 03:34, 19 May 2025
Line 3:		Line 3:
	Using a Just [[9/8\|9/8]] whole tone as the basis of an equal temperament tuning results in an interesting non-octave tuning. As every interval is a multiple of 9/8, the resultant tuning would be a subset of [[3-limit\|3-limit]] [[Just_intonation\|Just Intonation]]. This can be also viewed as generating a subset of [[Baldy\|baldy]] temperament.		Using a Just [[9/8\|9/8]] whole tone as the basis of an equal temperament tuning results in an interesting non-octave tuning. As every interval is a multiple of 9/8, the resultant tuning would be a subset of [[3-limit\|3-limit]] [[Just_intonation\|Just Intonation]]. This can be also viewed as generating a subset of [[Baldy\|baldy]] temperament.

	Below is the scala file I used to generate <span style="">''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20110707_piano_tibetan_bowls_and_bells_nine_eights.mp3 A Bowl of Tibetan Bells]''</span> by [http://www.chrisvaisvil.com Chris Vaisvil] ([http://chrisvaisvil.com/?p=1019 composition details])		== Scala file ==
			Below is the scala file used to generate <span style="">''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20110707_piano_tibetan_bowls_and_bells_nine_eights.mp3 A Bowl of Tibetan Bells]''</span> by [http://www.chrisvaisvil.com Chris Vaisvil] ([http://chrisvaisvil.com/?p=1019 composition details])

	and <span style=""><span style="">''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20111020-zeta-einstein.mp3 A Sonnet for Albert Einstein]''</span> by [http://chrisvaisvil.com/?p=1473 Chris Vaisvil (details)]</span>		and <span style=""><span style="">''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20111020-zeta-einstein.mp3 A Sonnet for Albert Einstein]''</span> by [http://chrisvaisvil.com/?p=1473 Chris Vaisvil (details)]</span>

BudjarnLambeth: Add pre tags and category

2025-05-19T03:33:58Z

Add pre tags and category

← Older revision		Revision as of 03:33, 19 May 2025
Line 6:		Line 6:

	and <span style=""><span style="">''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20111020-zeta-einstein.mp3 A Sonnet for Albert Einstein]''</span> by [http://chrisvaisvil.com/?p=1473 Chris Vaisvil (details)]</span>		and <span style=""><span style="">''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20111020-zeta-einstein.mp3 A Sonnet for Albert Einstein]''</span> by [http://chrisvaisvil.com/?p=1473 Chris Vaisvil (details)]</span>
			<pre>
	! E:\Cakewalk\scales\9_divided_by_8.scl		! E:\Cakewalk\scales\9_divided_by_8.scl
	!		!
Line 37:		Line 38:

	2446.92		2446.92
			</pre>

	==Intervals as 3-limit ratios==		==Intervals as 3-limit ratios==
Line 101:		Line 103:
	[[Category:listen]]		[[Category:listen]]
	[[Category:nonoctave]]		[[Category:nonoctave]]
			[[Category:Pages with Scala files]]

FloraC: FloraC moved page 9/8 equal-step tuning to 1ed9/8: Following similar pages

2024-12-05T08:12:25Z

FloraC moved page 9/8 equal-step tuning to 1ed9/8: Following similar pages

← Older revision	Revision as of 08:12, 5 December 2024
(No difference)

FloraC: FloraC moved page 9/8ths equal temperament to 9/8 equal-step tuning: Technically not a temperament

2021-12-31T14:20:27Z

FloraC moved page 9/8ths equal temperament to 9/8 equal-step tuning: Technically not a temperament

← Older revision	Revision as of 14:20, 31 December 2021
(No difference)

PreImportHandFixes>Battaglia01: PreImportHandFixes>Battaglia01 moved page 9 8ths equal temperament to 9/8ths equal temperament: Mike - changed missing slash

2018-08-19T20:23:53Z

PreImportHandFixes>Battaglia01 moved page 9 8ths equal temperament to 9/8ths equal temperament: Mike - changed missing slash

New page

'''9/8 equal temperament'''

Using a Just [[9/8|9/8]] whole tone as the basis of an equal temperament tuning results in an interesting non-octave tuning. As every interval is a multiple of 9/8, the resultant tuning would be a subset of [[3-limit|3-limit]] [[Just_intonation|Just Intonation]]. This can be also viewed as generating a subset of [[Baldy|baldy]] temperament.

Below is the scala file I used to generate ''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20110707_piano_tibetan_bowls_and_bells_nine_eights.mp3 A Bowl of Tibetan Bells]'' by [http://www.chrisvaisvil.com Chris Vaisvil] ([http://chrisvaisvil.com/?p=1019 composition details])

and ''[http://micro.soonlabel.com/204cent_nine_eights_nonoctave/daily20111020-zeta-einstein.mp3 A Sonnet for Albert Einstein]'' by [http://chrisvaisvil.com/?p=1473 Chris Vaisvil (details)]
! E:\Cakewalk\scales\9_divided_by_8.scl
!

9/8 in 12

12
!

203.91

407.82

611.73

815.64

1019.55

1223.46

1427.37

1631.28

1835.19

2039.1

2243.01

2446.92

==Intervals as 3-limit ratios==

{| class="wikitable"
|-
! colspan="2" | Ratio
! | Cents
|-
| | (9/8)0
| | 1/1
| | 0.00
|-
| | (9/8)1
| | 9/8
| | 203.91
|-
| | (9/8)2
| | 81/64
| | 407.82
|-
| | (9/8)3
| | 729/512
| | 611.73
|-
| | (9/8)4
| | 6561/4096
| | 815.64
|-
| | (9/8)5
| | 59049/32768
| | 1019.55
|-
| | (9/8)6
| | 531441/262144
| | 1223.46
|-
| | (9/8)7
| | 4782969/2097152
| | 1427.37
|-
| | (9/8)8
| | 43046721/16777216
| | 1631.28
|-
| | (9/8)9
| | 387420489/134217728
| | 1835.19
|-
| | (9/8)10
| | 3486784401/1073741824
| | 2039.10
|-
| | (9/8)11
| | 31381059609/8589934592
| | 2243.01
|-
| | (9/8)12
| | 282429536481/68719476736
| | 2446.92
|}
[[Category:9/8]]
[[Category:equal_temperament]]
[[Category:listen]]
[[Category:nonoctave]]