User:CompactStar/Letter comma notation - Revision history

CompactStar at 01:26, 23 April 2024

2024-04-23T01:26:12Z

← Older revision		Revision as of 01:26, 23 April 2024
Line 2:		Line 2:

	The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar\|CompactStar]] for [[just intonation]] up to the [[31-limit]] as well as [[regular temperament]]s based on it. As with other JI notations, it is based on [[3-limit]] notation with a set of accidentals corresponding to a formal comma for each prime limit. The letters H-Z are used for these accidentals, and alternate between ascending and descending, so H is 5-limit ascending, I is 5-limit descending, J is 7-limit ascending, K is 7-limit descending and so on. This notation bears similarity to [[FJS]] but it aims to be more easily typable.		The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar\|CompactStar]] for [[just intonation]] up to the [[31-limit]] as well as [[regular temperament]]s based on it. As with other JI notations, it is based on [[3-limit]] notation with a set of accidentals corresponding to a formal comma for each prime limit. The letters H-Z are used for these accidentals, and alternate between ascending and descending, so H is 5-limit ascending, I is 5-limit descending, J is 7-limit ascending, K is 7-limit descending and so on. This notation bears similarity to [[FJS]] but it aims to be more easily typable.

			== Full list of formal commas ==
	{\|class="wikitable"		{\|class="wikitable"
	\|-		\|-
	!Prime limit		!Prime limit
	!Letter		!Letter
	!~~Ratio~~		!Comma
	!Letter		!Letter
	!~~Ratio~~		!Comma
	\|-		\|-
	\|5		\|5

CompactStar at 01:25, 23 April 2024

2024-04-23T01:25:29Z

← Older revision		Revision as of 01:25, 23 April 2024
Line 2:		Line 2:

	The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar\|CompactStar]] for [[just intonation]] up to the [[31-limit]] as well as [[regular temperament]]s based on it. As with other JI notations, it is based on [[3-limit]] notation with a set of accidentals corresponding to a formal comma for each prime limit. The letters H-Z are used for these accidentals, and alternate between ascending and descending, so H is 5-limit ascending, I is 5-limit descending, J is 7-limit ascending, K is 7-limit descending and so on. This notation bears similarity to [[FJS]] but it aims to be more easily typable.		The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar\|CompactStar]] for [[just intonation]] up to the [[31-limit]] as well as [[regular temperament]]s based on it. As with other JI notations, it is based on [[3-limit]] notation with a set of accidentals corresponding to a formal comma for each prime limit. The letters H-Z are used for these accidentals, and alternate between ascending and descending, so H is 5-limit ascending, I is 5-limit descending, J is 7-limit ascending, K is 7-limit descending and so on. This notation bears similarity to [[FJS]] but it aims to be more easily typable.
			{\|class="wikitable"
			\|-
			!Prime limit
			!Letter
			!Ratio
			!Letter
			!Ratio
			\|-
			\|5
			\|H
			\|[[81/80]]
			\|I
			\|80/81
			\|-
			\|7
			\|J
			\|[[64/63]]
			\|K
			\|63/64
			\|-
			\|11
			\|L
			\|[[33/32]]
			\|M
			\|32/33
			\|-
			\|13
			\|N
			\|[[1053/1024]]
			\|O
			\|1024/1053
			\|-
			\|17
			\|P
			\|[[4131/4096]]
			\|Q
			\|4096/4131
			\|-
			\|19
			\|R
			\|[[513/512]]
			\|S
			\|512/513
			\|-
			\|23
			\|T
			\|[[736/729]]
			\|U
			\|729/736
			\|-
			\|29
			\|V
			\|[[261/256]]
			\|W
			\|256/261
			\|-
			\|31
			\|X
			\|[[32/31]]
			\|Y
			\|31/32
			\|}

			For example, [[5/4]] is IM3 and [[7/4]] is Km7

	== Full list of formal commas ==		== Full list of formal commas ==

CompactStar: /* Full list of formal commas */

2024-04-23T01:23:40Z

Full list of formal commas

← Older revision		Revision as of 01:23, 23 April 2024
Line 4:		Line 4:

	== Full list of formal commas ==		== Full list of formal commas ==
	~~<div class="mw-collapsible mw-collapsed">~~
	~~{\|class="wikitable"~~
	\|-
	~~!Prime limit~~
	~~!Letter~~
	~~!Formal comma~~
	\|-
	\|3
	\|b
	~~\|[[531441/524288]]~~
	\|-
	\|5
	\|c
	~~\|[[81/80]]~~
	\|-
	\|7
	\|d
	~~\|[[64/63]]~~
	\|-
	~~\|11~~
	\|e
	~~\|[[33/32]]~~
	\|-
	~~\|13~~
	\|f
	~~\|[[1053/1024]]~~
	\|-
	~~\|17~~
	\|g
	~~\|[[2187/2176]]~~
	\|-
	~~\|19~~
	\|h
	~~\|[[513/512]]~~
	\|-
	~~\|23~~
	\|i
	~~\|[[736/729]]~~
	\|-
	~~\|29~~
	\|j
	~~\|[[261/256]]~~
	\|-
	~~\|31~~
	\|k
	~~\|[[248/243]]~~
	\|-
	~~\|37~~
	\|l
	~~\|[[37/36]]~~
	\|-
	~~\|41~~
	\|m
	~~\|[[82/81]]~~
	\|-
	~~\|43~~
	\|n
	~~\|[[129/128]]~~
	\|-
	~~\|47~~
	\|o
	~~\|[[48/47]]~~
	\|-
	~~\|53~~
	\|p
	~~\|[[54/53]]~~
	\|-
	~~\|59~~
	\|q
	~~\|[[243/236]]~~
	\|-
	~~\|61~~
	\|r
	~~\|[[244/243]]~~
	\|-
	~~\|67~~
	\|s
	~~\|[[16384/16281]]~~
	\|-
	~~\|71~~
	\|t
	~~\|[[72/71]]~~
	\|-
	~~\|73~~
	\|u
	~~\|[[73/72]]~~
	\|-
	~~\|79~~
	\|v
	~~\|[[81/79]]~~
	\|-
	~~\|83~~
	\|w
	~~\|[[256/249]]~~
	\|-
	~~\|89~~
	\|x
	~~\|[[729/712]]~~
	\|-
	~~\|97~~
	\|y
	~~\|[[97/96]]~~
	\|-
	~~\|101~~
	\|z
	~~\|[[8192/8181]]~~
	\|}
	~~</div>~~

CompactStar at 01:22, 23 April 2024

2024-04-23T01:22:47Z

← Older revision		Revision as of 01:22, 23 April 2024
Line 1:		Line 1:
	VERY WIP (I'll move it to the main namespace if it's finished.)		VERY WIP (I'll move it to the main namespace if it's finished.)

	The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar\|CompactStar]] for [[just intonation]] up to the [[~~101~~-limit]] as well as [[regular temperament]]s based on it. As with other JI notations, it is based on [[3-limit]] notation with a set of accidentals corresponding to a formal comma for each prime limit. ~~Letters~~ are used as these ~~accidentals–capital letters are~~ ascending and ~~lowercase letters are~~ descending.		The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar\|CompactStar]] for [[just intonation]] up to the [[31-limit]] as well as [[regular temperament]]s based on it. As with other JI notations, it is based on [[3-limit]] notation with a set of accidentals corresponding to a formal comma for each prime limit. The letters H-Z are used for these accidentals, and alternate between ascending and descending, so H is 5-limit ascending, I is 5-limit descending, J is 7-limit ascending, K is 7-limit descending and so on. This notation bears similarity to [[FJS]] but it aims to be more easily typable.

	== Full list of formal commas ==		== Full list of formal commas ==
	<div class="mw-collapsible mw-collapsed">		<div class="mw-collapsible mw-collapsed">

CompactStar at 02:39, 18 April 2024

2024-04-18T02:39:44Z

← Older revision		Revision as of 02:39, 18 April 2024
Line 1:		Line 1:
	VERY WIP (I'll move it to the main namespace if it's finished.)		VERY WIP (I'll move it to the main namespace if it's finished.)

	The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar\|CompactStar]] for [[just intonation]] up to the [[101-limit]] as well as [[regular temperament]]s based on it. It is based on [[3-limit]] notation with ~~the letters H-Y used as~~ accidentals ~~representing higher-limit [[comma]]s (starting from H~~ to ~~avoid conflict with note names). Each~~ comma ~~is associated to a [[~~prime limit~~]] and uses 2~~ letters~~, one for the~~ ascending ~~accidental~~ and ~~one for the~~ descending ~~accidental. It bears some similarities to [[SKULO interval names]] and the [[Functional Just System]]~~.		The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar\|CompactStar]] for [[just intonation]] up to the [[101-limit]] as well as [[regular temperament]]s based on it. As with other JI notations, it is based on [[3-limit]] notation with a set of accidentals corresponding to a formal comma for each prime limit. Letters are used as these accidentals–capital letters are ascending and lowercase letters are descending.
			== Full list of formal commas ==
	== ~~Commas~~ ==		<div class="mw-collapsible mw-collapsed">
	{\|class="wikitable"		{\|class="wikitable"
	\|-		\|-
	!Prime limit		!Prime limit
	!Letter		!Letter
	!~~Comma~~		!Formal comma
	\|-		\|-
	\|3		\|3
Line 110:		Line 110:
	\|[[8192/8181]]		\|[[8192/8181]]
	\|}		\|}
			</div>

CompactStar at 02:16, 18 April 2024

2024-04-18T02:16:26Z

← Older revision		Revision as of 02:16, 18 April 2024
Line 20:		Line 20:
	\|7		\|7
	\|d		\|d
	[[64/63]]		\|[[64/63]]
	\|-		\|-
	\|11		\|11

CompactStar at 02:16, 18 April 2024

2024-04-18T02:16:11Z

← Older revision		Revision as of 02:16, 18 April 2024
Line 1:		Line 1:
	VERY WIP (I'll move it to the main namespace if it's finished.)		VERY WIP (I'll move it to the main namespace if it's finished.)

	The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar\|CompactStar]] for [[just intonation]] up to the [[31-limit]] as well as [[regular temperament]]s based on it. It is based on [[3-limit]] notation with the letters H-Y used as accidentals representing higher-limit [[comma]]s (starting from H to avoid conflict with note names). Each comma is associated to a [[prime limit]] and uses 2 letters, one for the ascending accidental and one for the descending accidental. It bears some similarities to [[SKULO interval names]] and the [[Functional Just System]].		The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar\|CompactStar]] for [[just intonation]] up to the [[101-limit]] as well as [[regular temperament]]s based on it. It is based on [[3-limit]] notation with the letters H-Y used as accidentals representing higher-limit [[comma]]s (starting from H to avoid conflict with note names). Each comma is associated to a [[prime limit]] and uses 2 letters, one for the ascending accidental and one for the descending accidental. It bears some similarities to [[SKULO interval names]] and the [[Functional Just System]].

	== ~~Accidentals~~ ==		== Commas ==
	{\|class="wikitable"		{\|class="wikitable"
	\|-		\|-
	!Prime limit		!Prime limit
	!Letter		!Letter
	!~~Ratio~~		!Comma
	~~!Letter~~		\|-
	~~!Ratio~~		\|3
			\|b
			\|[[531441/524288]]
	\|-		\|-
	\|5		\|5
	\|H		\|c
	\|[[81/80]]		\|[[81/80]]
	\|I
	~~\|80/81~~
	\|-		\|-
	\|7		\|7
	\|J		\|d
	\|[[64/63]]		[[64/63]]
	\|K
	~~\|63/64~~
	\|-		\|-
	\|11		\|11
	\|L		\|e
	\|[[33/32]]		\|[[33/32]]
	\|M
	~~\|32/33~~
	\|-		\|-
	\|13		\|13
	\|N		\|f
	\|[[1053/1024]]		\|[[1053/1024]]
	\|O
	~~\|1024/1053~~
	\|-		\|-
	\|17		\|17
	\|P		\|g
	\|[[~~4131~~/~~4096~~]]		\|[[2187/2176]]
	\|Q
	~~\|4096/4131~~
	\|-		\|-
	\|19		\|19
	\|R		\|h
	\|[[513/512]]		\|[[513/512]]
	\|S
	~~\|512/513~~
	\|-		\|-
	\|23		\|23
	\|T		\|i
	\|[[736/729]]		\|[[736/729]]
	\|U
	~~\|729/736~~
	\|-		\|-
	\|29		\|29
	\|V		\|j
	\|[[261/256]]		\|[[261/256]]
	\|W
	~~\|256/261~~
	\|-		\|-
	\|31		\|31
	\|X		\|k
	\|[[32/31]]		\|[[248/243]]
	\|Y		\|-
	\|31/32		\|37
			\|l
			\|[[37/36]]
			\|-
			\|41
			\|m
			\|[[82/81]]
			\|-
			\|43
			\|n
			\|[[129/128]]
			\|-
			\|47
			\|o
			\|[[48/47]]
			\|-
			\|53
			\|p
			\|[[54/53]]
			\|-
			\|59
			\|q
			\|[[243/236]]
			\|-
			\|61
			\|r
			\|[[244/243]]
			\|-
			\|67
			\|s
			\|[[16384/16281]]
			\|-
			\|71
			\|t
			\|[[72/71]]
			\|-
			\|73
			\|u
			\|[[73/72]]
			\|-
			\|79
			\|v
			\|[[81/79]]
			\|-
			\|83
			\|w
			\|[[256/249]]
			\|-
			\|89
			\|x
			\|[[729/712]]
			\|-
			\|97
			\|y
			\|[[97/96]]
			\|-
			\|101
			\|z
			\|[[8192/8181]]
	\|}		\|}

	The letters are placed before interval and note names, so [[5/4]] is IM3 (I-major third) and [[7/4]] is Km7 (K-minor seventh), and above C these would be IE and KBb. When letters are stacked, they are put in alphabetical order, so [[7/5]] is IJd5.

	~~== For tempered systems ==~~
	This system can also be used to notate [[regular temperament]]s, including both [[equal temperament]]s and multirank temperaments. It should be noted that [[EDO]] systems will have many different temperament interpretations, and thus typically will have many different possible notations. Ffor example, 24edo can be notated as a [[2.3.7 subgroup]] system with the quarter-tone represented by 64/63 (J and K), as a [[2.3.11 subgroup]] system with the quarter-tone as 33/32 (L and M), and so on.

CompactStar at 04:59, 8 April 2024

2024-04-08T04:59:17Z

← Older revision		Revision as of 04:59, 8 April 2024
Line 70:		Line 70:

	== For tempered systems ==		== For tempered systems ==
	This system can also be used to notate [[regular temperament]]s, including both [[equal temperament]]s and multirank temperaments. It should be noted that [[EDO]] systems will have many different temperament interpretations, and thus typically will have many different possible notations ~~(for~~ example, 24edo can be notated with the quarter-tone ~~as J = [[~~64/63]], ~~L =~~ [[33/32]], ~~N = [[1053/1024]]~~ and so on).		This system can also be used to notate [[regular temperament]]s, including both [[equal temperament]]s and multirank temperaments. It should be noted that [[EDO]] systems will have many different temperament interpretations, and thus typically will have many different possible notations. Ffor example, 24edo can be notated as a [[2.3.7 subgroup]] system with the quarter-tone represented by 64/63 (J and K), as a [[2.3.11 subgroup]] system with the quarter-tone as 33/32 (L and M), and so on.

CompactStar at 04:57, 8 April 2024

2024-04-08T04:57:01Z

← Older revision		Revision as of 04:57, 8 April 2024
Line 69:		Line 69:
	The letters are placed before interval and note names, so [[5/4]] is IM3 (I-major third) and [[7/4]] is Km7 (K-minor seventh), and above C these would be IE and KBb. When letters are stacked, they are put in alphabetical order, so [[7/5]] is IJd5.		The letters are placed before interval and note names, so [[5/4]] is IM3 (I-major third) and [[7/4]] is Km7 (K-minor seventh), and above C these would be IE and KBb. When letters are stacked, they are put in alphabetical order, so [[7/5]] is IJd5.

	== For tempered ~~system~~ ==		== For tempered systems ==
	This system can also be used to notate [[regular temperament]]s, including both [[equal temperament]]s and multirank temperaments. It should be noted that [[EDO]] systems will have many different temperament interpretations, and thus typically will have many different possible notations (for example, 24edo can be notated with the quarter-tone as J = [[64/63]], L = [[33/32]], N = [[1053/1024]] and so on).		This system can also be used to notate [[regular temperament]]s, including both [[equal temperament]]s and multirank temperaments. It should be noted that [[EDO]] systems will have many different temperament interpretations, and thus typically will have many different possible notations (for example, 24edo can be notated with the quarter-tone as J = [[64/63]], L = [[33/32]], N = [[1053/1024]] and so on).

CompactStar at 04:56, 8 April 2024

2024-04-08T04:56:50Z

← Older revision		Revision as of 04:56, 8 April 2024
Line 70:		Line 70:

	== For tempered system ==		== For tempered system ==
	This system can also be used to notate [[regular temperament]]s, including both [[equal temperament]]s and multirank temperaments. It should be noted that [[EDO]] systems will have many different temperament interpretations, and thus typically will have many different possible notations (for example, 24edo can be notated with the quarter-tone as J = [[64/63]], L = [[33/32]], N = [[1053/~~10244~~]] and so on).		This system can also be used to notate [[regular temperament]]s, including both [[equal temperament]]s and multirank temperaments. It should be noted that [[EDO]] systems will have many different temperament interpretations, and thus typically will have many different possible notations (for example, 24edo can be notated with the quarter-tone as J = [[64/63]], L = [[33/32]], N = [[1053/1024]] and so on).