User:CompactStar/JI notation - Revision history

CompactStar at 09:02, 11 June 2023

2023-06-11T09:02:10Z

← Older revision		Revision as of 09:02, 11 June 2023
Line 92:		Line 92:
	\|-		\|-
	\|8/7		\|8/7
	\|Ebd[-11]		\|Ebd[-7]
	\|-		\|-
	\|15/13		\|15/13
	\|Dt[-5, +13]		\|Dt[-5, +13]
			\|-
			\|7/6
			\|Dt[+7]
			\|-
			\|13/11
			\|Edd[-13]
			\|-
			\|6/5
			\|Eb[+5]
	\|}		\|}

CompactStar at 08:59, 11 June 2023

2023-06-11T08:59:58Z

@@ Line 55: / Line 55: @@
 |47
 |517/512
-|47/32 = Gd[+43]
+|47/32 = Gd[+47]
 |-
 |53
 |583/576
-|53/32 = Ad[+43]
+|53/32 = Ad[+53]
 |}

CompactStar at 08:47, 11 June 2023

2023-06-11T08:47:36Z

← Older revision		Revision as of 08:47, 11 June 2023
Line 35:		Line 35:
	\|29		\|29
	\|261/256		\|261/256
	\|29/16 = Bb[=29]		\|29/16 = Bb[+29]
	\|-		\|-
	\|31		\|31

CompactStar at 08:47, 11 June 2023

2023-06-11T08:47:05Z

← Older revision		Revision as of 08:47, 11 June 2023
Line 1:		Line 1:
	(This may be moved to mainspace when it is more fleshed out)		(This may be moved to mainspace when it is more fleshed out)

	The naturals CDEFGAB correspond to Pythagorean intervals. Sharp and flat accidentals raise/lower by 2187/2048, and half-sharp and half-flat accidentals raise/lower by 33/32. To represent non-2.3.11 subgroup intervals, a list of primes, each of which multiplies the basic note by a comma, is added (e.g. 5/4 = E[-5], 13/10 = Fd[+13, -5]).		The naturals CDEFGAB correspond to Pythagorean intervals. Sharp and flat accidentals raise/lower by 2187/2048, and half-sharp and half-flat accidentals raise/lower by 33/32. To represent non-2.3.11 subgroup intervals, a comma-seperated list of primes, each of which multiplies the basic note by a comma, is added (e.g. 5/4 = E[-5], 13/10 = Fd[+13, -5]).
	== Commas ==		== Commas ==
	{\|class="wikitable"		{\|class="wikitable"
Line 18:		Line 18:
	\|-		\|-
	\|13		\|13
	\|~~352~~/~~351~~		\|144/143
	\|13/8 = ~~Abt~~[-13]		\|13/8 = Ad[-13]
	\|-		\|-
	\|17		\|17
Line 34:		Line 34:
	\|-		\|-
	\|29		\|29
	\|88/87		\|261/256
	\|29/16 = ~~Bbt~~[-29]		\|29/16 = Bb[=29]
	\|-		\|-
	\|31		\|31
Line 42:		Line 42:
	\|-		\|-
	\|37		\|37
	\|		\|297/296
	\|37/32 =		\|37/32 = Dt[-37]
			\|-
			\|41
			\|82/81
			\|41/32 = E[+41]
			\|-
			\|43
			\|129/128
			\|43/32 = F[+43]
			\|-
			\|47
			\|517/512
			\|47/32 = Gd[+43]
			\|-
			\|53
			\|583/576
			\|53/32 = Ad[+43]
	\|}		\|}

CompactStar at 08:39, 11 June 2023

2023-06-11T08:39:16Z

← Older revision		Revision as of 08:39, 11 June 2023
Line 1:		Line 1:
	(This may be moved to mainspace when it is more fleshed out)		(This may be moved to mainspace when it is more fleshed out)

	The naturals CDEFGAB ~~corresponding~~ to Pythagorean intervals. Sharp and flat accidentals raise/lower by 2187/2048, and half-sharp and half-flat accidentals raise/lower by 33/32.		The naturals CDEFGAB correspond to Pythagorean intervals. Sharp and flat accidentals raise/lower by 2187/2048, and half-sharp and half-flat accidentals raise/lower by 33/32. To represent non-2.3.11 subgroup intervals, a list of primes, each of which multiplies the basic note by a comma, is added (e.g. 5/4 = E[-5], 13/10 = Fd[+13, -5]).
			== Commas ==
			{\|class="wikitable"
			\|-
			!Prime
			!Comma
			!Notation of harmonic
			\|-
			\|5
			\|81/80
			\|5/4 = E[-5]
			\|-
			\|7
			\|896/891
			\|7/4 = At[+7]
			\|-
			\|13
			\|352/351
			\|13/8 = Abt[-13]
			\|-
			\|17
			\|2187/2176
			\|17/16 = C#[-17]
			\|-
			\|19
			\|513/512
			\|19/16 = Eb[+19]
			\|-
			\|23
			\|736/729
			\|23/16 = F#[+23]
			\|-
			\|29
			\|88/87
			\|29/16 = Bbt[-29]
			\|-
			\|31
			\|1024/1023
			\|31/16 = Cd[-31]
			\|-
			\|37
			\|
			\|37/32 =
			\|}

CompactStar at 08:00, 11 June 2023

2023-06-11T08:00:45Z

← Older revision		Revision as of 08:00, 11 June 2023
Line 1:		Line 1:
	(This may be moved to mainspace when it is more fleshed out)		(This may be moved to mainspace when it is more fleshed out)

	The ~~nautrals~~ CDEFGAB corresponding to Pythagorean intervals		The naturals CDEFGAB corresponding to Pythagorean intervals. Sharp and flat accidentals raise/lower by 2187/2048, and half-sharp and half-flat accidentals raise/lower by 33/32.

CompactStar: CompactStar moved page User:CompactStar/JI naming system to User:CompactStar/JI notation

2023-06-11T07:45:47Z

CompactStar moved page User:CompactStar/JI naming system to User:CompactStar/JI notation

← Older revision	Revision as of 07:45, 11 June 2023
(No difference)

CompactStar at 07:45, 11 June 2023

2023-06-11T07:45:41Z

← Older revision		Revision as of 07:45, 11 June 2023
Line 1:		Line 1:
	(This may be moved to mainspace when it is more fleshed out)		(This may be moved to mainspace when it is more fleshed out)

	Pythagorean intervals ~~use unmodified names (major second, minor third, etc.). Higher-limit interval names are created by stacking prefixes that raise or lower by a comma. The prefix for the highest prime comes first.~~		The nautrals CDEFGAB corresponding to Pythagorean intervals

	~~== Prefixes ==~~
	~~{\|class="wikitable"~~
	\|-
	~~!Prime~~
	~~!Comma~~
	~~!Raising prefix~~
	~~!Lowering prefix~~
	\|-
	\|5
	~~\|[[81/80]]~~
	~~\|over~~
	~~\|under~~
	\|-
	\|7
	~~\|[[64/63]]~~
	~~\|super~~
	~~\|sub~~
	\|}

CompactStar: CompactStar moved page User:CompactStar/JI notation?action=edit to User:CompactStar/JI naming system

2023-06-11T07:41:42Z

CompactStar moved page User:CompactStar/JI notation?action=edit to User:CompactStar/JI naming system

← Older revision	Revision as of 07:41, 11 June 2023
(No difference)

CompactStar: Created page with "(This may be moved to mainspace when it is more fleshed out) Pythagorean intervals use unmodified names (major second, minor third, etc.). Higher-limit interval names are cre..."

2023-06-11T07:41:28Z

Created page with "(This may be moved to mainspace when it is more fleshed out) Pythagorean intervals use unmodified names (major second, minor third, etc.). Higher-limit interval names are cre..."

New page

(This may be moved to mainspace when it is more fleshed out)

Pythagorean intervals use unmodified names (major second, minor third, etc.). Higher-limit interval names are created by stacking prefixes that raise or lower by a comma. The prefix for the highest prime comes first.

== Prefixes ==
{|class="wikitable"
|-
!Prime
!Comma
!Raising prefix
!Lowering prefix
|-
|5
|[[81/80]]
|over
|under
|-
|7
|[[64/63]]
|super
|sub
|}