Langwidge - Revision history

FloraC: - parent category

2025-04-28T14:19:39Z

- parent category

← Older revision		Revision as of 14:19, 28 April 2025
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	<references/>		<references/>

	[[Category:~~Temperaments~~]]		[[Category:Langwidge\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
			[[Category:Subgroup temperaments]]

FloraC: Verbally note its relation to protolangwidge cuz we're documenting this temp as a coherent 2.3.17.19-subgroup structure

2025-04-21T13:52:29Z

Verbally note its relation to protolangwidge cuz we're documenting this temp as a coherent 2.3.17.19-subgroup structure

← Older revision		Revision as of 13:52, 21 April 2025
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	~~{{Breadcrumb\|Protolangwidge}}~~		'''Langwidge''' is a [[rank-2 temperament]] in the 2.3.17.19 [[subgroup]] [[generator\|generated]] by a [[perfect fifth]]. It was found in a search for a temperament that would defy the tradition of tertian harmony (→ [[#Notation]]). It is an [[extension]] of [[protolangwidge]].

	'''Langwidge''' is a [[rank-2 temperament]] in the 2.3.17.19 [[subgroup]] [[generator\|generated]] by a [[perfect fifth]]. It was found in a search for a temperament that would defy the tradition of tertian harmony (→ [[#Notation]]).

	The name ''langwidge'' was given by [[Eliora]] in 2023, originating from Adam Neely's video "''Is Cb The Same Note as B?''", where he mentions that there's "nothing technically incorrect about spelling the word language as "langwidge", but word structure-wise the information is different because it is not spelled right. In addition, he goes on to mention about how the "order of spelling in Western music theory is sacrosanct".<ref>[https://www.youtube.com/watch?v=SZftrA-aCa4&t=210s&pp=ygUYSXMgQyMgdGhlIHNhbWUgbm90ZSBhcyBC ''Is Cb the same note as B?''] by Adam Neely</ref>		The name ''langwidge'' was given by [[Eliora]] in 2023, originating from Adam Neely's video "''Is Cb The Same Note as B?''", where he mentions that there's "nothing technically incorrect about spelling the word language as "langwidge", but word structure-wise the information is different because it is not spelled right. In addition, he goes on to mention about how the "order of spelling in Western music theory is sacrosanct".<ref>[https://www.youtube.com/watch?v=SZftrA-aCa4&t=210s&pp=ygUYSXMgQyMgdGhlIHNhbWUgbm90ZSBhcyBC ''Is Cb the same note as B?''] by Adam Neely</ref>

Lériendil: I've consistently put breadcrumbs on all pages describing extensions, e.g. "luna and hemithirds" < "didacus" and "rodan" < "slendric" because I deem this to be helpful

2025-04-20T13:17:39Z

I've consistently put breadcrumbs on *all* pages describing extensions, e.g. "luna and hemithirds" < "didacus" and "rodan" < "slendric" because I deem this to be helpful

← Older revision		Revision as of 13:17, 20 April 2025
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			{{Breadcrumb\|Protolangwidge}}

	'''Langwidge''' is a [[rank-2 temperament]] in the 2.3.17.19 [[subgroup]] [[generator\|generated]] by a [[perfect fifth]]. It was found in a search for a temperament that would defy the tradition of tertian harmony (→ [[#Notation]]).		'''Langwidge''' is a [[rank-2 temperament]] in the 2.3.17.19 [[subgroup]] [[generator\|generated]] by a [[perfect fifth]]. It was found in a search for a temperament that would defy the tradition of tertian harmony (→ [[#Notation]]).

FloraC: This is not an extension page (-breadcrumb)

2025-04-20T13:17:23Z

This is not an extension page (-breadcrumb)

← Older revision		Revision as of 13:17, 20 April 2025
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	~~{{Breadcrumb\|Protolangwidge}}~~

	'''Langwidge''' is a [[rank-2 temperament]] in the 2.3.17.19 [[subgroup]] [[generator\|generated]] by a [[perfect fifth]]. It was found in a search for a temperament that would defy the tradition of tertian harmony (→ [[#Notation]]).		'''Langwidge''' is a [[rank-2 temperament]] in the 2.3.17.19 [[subgroup]] [[generator\|generated]] by a [[perfect fifth]]. It was found in a search for a temperament that would defy the tradition of tertian harmony (→ [[#Notation]]).

Lériendil at 23:39, 19 April 2025

2025-04-19T23:39:16Z

← Older revision		Revision as of 23:39, 19 April 2025
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			{{Breadcrumb\|Protolangwidge}}

	'''Langwidge''' is a [[rank-2 temperament]] in the 2.3.17.19 [[subgroup]] [[generator\|generated]] by a [[perfect fifth]]. It was found in a search for a temperament that would defy the tradition of tertian harmony (→ [[#Notation]]).		'''Langwidge''' is a [[rank-2 temperament]] in the 2.3.17.19 [[subgroup]] [[generator\|generated]] by a [[perfect fifth]]. It was found in a search for a temperament that would defy the tradition of tertian harmony (→ [[#Notation]]).

Lériendil at 23:11, 19 April 2025

2025-04-19T23:11:22Z

← Older revision		Revision as of 23:11, 19 April 2025
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	[[Category:Temperaments]]		[[Category:Temperaments]]
			[[Category:Rank-2 temperaments]]

TallKite: /* Notation */ clarifications

2024-12-14T09:24:05Z

Notation: clarifications

← Older revision		Revision as of 09:24, 14 December 2024
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	Since the temperament is generated by the fifth, [[chain-of-fifths notation]] can be used. Note that -17 generator steps [[octave reduction\|octave-reduced]] yield [[17/16]], so that 17/16 is C–Ebbb. +9 generator steps octave-reduced yield [[19/16]], so that 19/16 is C-D#. As such, it is considered to present a challenge to the tradition of tertian harmony, since the simplest harmonic building block, the 1-19/16-3/2 triad, is C-D#-G and not C-Eb-G.		Since the temperament is generated by the fifth, [[chain-of-fifths notation]] can be used. Note that -17 generator steps [[octave reduction\|octave-reduced]] yield [[17/16]], so that 17/16 is C–Ebbb. +9 generator steps octave-reduced yield [[19/16]], so that 19/16 is C-D#. As such, it is considered to present a challenge to the tradition of tertian harmony, since the simplest harmonic building block, the 1-19/16-3/2 triad, is C-D#-G and not C-Eb-G.

	This temperament is, however, neither the first nor the most successful to raise the notational issue, and there are a number of ways to address it. First, whether 19/16 must be notated as a minor third is debatable. Western harmony mainly dealt with the [[5-limit]], and only the mapping of [[5/1\|5]] is fully established. Most conceptualization systems of [[just intonation]] ([[FJS]], [[HEJI]], etc.) indeed ~~treats~~ 19/16 as a minor third, but [[Sagittal notation\|Sagittal]] is a notable exception in that it is equipped with an accidental of ratio 19683/19456 besides the more common [[513/512]], so 19/16 can be an augmented second there. Otherwise, if one wants to notate 19/16 as a minor third, ~~they~~ can adopt an additional module of accidentals such as arrows to represent the comma step, allowing them to write the chord above as C-^Eb-G. There are also other temperaments known to raise the notational issue in much simpler chords, such as [[schismatic]] temperament which represents the 5-limit 10:12:15 triad as C-D#-G.		This temperament is, however, neither the first nor the most successful to raise the notational issue, and there are a number of ways to address it. First, whether 19/16 must be notated as a minor third is debatable. Western harmony mainly dealt with the [[5-limit]], and only the mapping of [[5/1\|5]] is fully established. Most conceptualization systems of [[just intonation]] ([[FJS]], [[HEJI]], [[Color notation]],etc.) indeed treat 19/16 as a minor third, but [[Sagittal notation\|Sagittal]] is a notable exception in that it is equipped with an accidental of ratio 19683/19456 besides the more common [[513/512]], so 19/16 can be an augmented second there. Otherwise, if one wants to notate 19/16 as a minor third, one can adopt an additional module of accidentals such as arrows to represent the comma step, allowing them to write the chord above as C-^Eb-G. (Color notation can notate 19/16 as either an ino 3rd or a noqu 2nd.) There are also other temperaments known to raise the notational issue in much simpler chords, such as [[schismatic]] temperament which represents the 5-limit 10:12:15 triad as C-D#-G.

	== Temperament data ==		== Temperament data ==

Fredg999: Structure

2024-01-14T05:33:14Z

Structure

← Older revision		Revision as of 05:33, 14 January 2024
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	This temperament is, however, neither the first nor the most successful to raise the notational issue, and there are a number of ways to address it. First, whether 19/16 must be notated as a minor third is debatable. Western harmony mainly dealt with the [[5-limit]], and only the mapping of [[5/1\|5]] is fully established. Most conceptualization systems of [[just intonation]] ([[FJS]], [[HEJI]], etc.) indeed treats 19/16 as a minor third, but [[Sagittal notation\|Sagittal]] is a notable exception in that it is equipped with an accidental of ratio 19683/19456 besides the more common [[513/512]], so 19/16 can be an augmented second there. Otherwise, if one wants to notate 19/16 as a minor third, they can adopt an additional module of accidentals such as arrows to represent the comma step, allowing them to write the chord above as C-^Eb-G. There are also other temperaments known to raise the notational issue in much simpler chords, such as [[schismatic]] temperament which represents the 5-limit 10:12:15 triad as C-D#-G.		This temperament is, however, neither the first nor the most successful to raise the notational issue, and there are a number of ways to address it. First, whether 19/16 must be notated as a minor third is debatable. Western harmony mainly dealt with the [[5-limit]], and only the mapping of [[5/1\|5]] is fully established. Most conceptualization systems of [[just intonation]] ([[FJS]], [[HEJI]], etc.) indeed treats 19/16 as a minor third, but [[Sagittal notation\|Sagittal]] is a notable exception in that it is equipped with an accidental of ratio 19683/19456 besides the more common [[513/512]], so 19/16 can be an augmented second there. Otherwise, if one wants to notate 19/16 as a minor third, they can adopt an additional module of accidentals such as arrows to represent the comma step, allowing them to write the chord above as C-^Eb-G. There are also other temperaments known to raise the notational issue in much simpler chords, such as [[schismatic]] temperament which represents the 5-limit 10:12:15 triad as C-D#-G.

	~~See also [[protolangwidge]].~~

	== Temperament data ==		== Temperament data ==
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	{{Optimal ET sequence\|legend=1\| 12, 235, 247, 259b, 271b, …, 355b, 367b }}		{{Optimal ET sequence\|legend=1\| 12, 235, 247, 259b, 271b, …, 355b, 367b }}

			== See also ==
			* [[Protolangwidge]]

	== References ==		== References ==
			<references/>

	[[Category:Temperaments]]		[[Category:Temperaments]]

CompactStar at 05:27, 14 January 2024

2024-01-14T05:27:40Z

← Older revision		Revision as of 05:27, 14 January 2024
Line 7:		Line 7:

	This temperament is, however, neither the first nor the most successful to raise the notational issue, and there are a number of ways to address it. First, whether 19/16 must be notated as a minor third is debatable. Western harmony mainly dealt with the [[5-limit]], and only the mapping of [[5/1\|5]] is fully established. Most conceptualization systems of [[just intonation]] ([[FJS]], [[HEJI]], etc.) indeed treats 19/16 as a minor third, but [[Sagittal notation\|Sagittal]] is a notable exception in that it is equipped with an accidental of ratio 19683/19456 besides the more common [[513/512]], so 19/16 can be an augmented second there. Otherwise, if one wants to notate 19/16 as a minor third, they can adopt an additional module of accidentals such as arrows to represent the comma step, allowing them to write the chord above as C-^Eb-G. There are also other temperaments known to raise the notational issue in much simpler chords, such as [[schismatic]] temperament which represents the 5-limit 10:12:15 triad as C-D#-G.		This temperament is, however, neither the first nor the most successful to raise the notational issue, and there are a number of ways to address it. First, whether 19/16 must be notated as a minor third is debatable. Western harmony mainly dealt with the [[5-limit]], and only the mapping of [[5/1\|5]] is fully established. Most conceptualization systems of [[just intonation]] ([[FJS]], [[HEJI]], etc.) indeed treats 19/16 as a minor third, but [[Sagittal notation\|Sagittal]] is a notable exception in that it is equipped with an accidental of ratio 19683/19456 besides the more common [[513/512]], so 19/16 can be an augmented second there. Otherwise, if one wants to notate 19/16 as a minor third, they can adopt an additional module of accidentals such as arrows to represent the comma step, allowing them to write the chord above as C-^Eb-G. There are also other temperaments known to raise the notational issue in much simpler chords, such as [[schismatic]] temperament which represents the 5-limit 10:12:15 triad as C-D#-G.

	See also [[protolangwidge]].		See also [[protolangwidge]].

CompactStar: Readd deleted section

2024-01-14T05:27:26Z

Readd deleted section

← Older revision		Revision as of 05:27, 14 January 2024
Line 6:		Line 6:
	Since the temperament is generated by the fifth, [[chain-of-fifths notation]] can be used. Note that -17 generator steps [[octave reduction\|octave-reduced]] yield [[17/16]], so that 17/16 is C–Ebbb. +9 generator steps octave-reduced yield [[19/16]], so that 19/16 is C-D#. As such, it is considered to present a challenge to the tradition of tertian harmony, since the simplest harmonic building block, the 1-19/16-3/2 triad, is C-D#-G and not C-Eb-G.		Since the temperament is generated by the fifth, [[chain-of-fifths notation]] can be used. Note that -17 generator steps [[octave reduction\|octave-reduced]] yield [[17/16]], so that 17/16 is C–Ebbb. +9 generator steps octave-reduced yield [[19/16]], so that 19/16 is C-D#. As such, it is considered to present a challenge to the tradition of tertian harmony, since the simplest harmonic building block, the 1-19/16-3/2 triad, is C-D#-G and not C-Eb-G.

	This temperament is, however, neither the first nor the most successful to raise the notational issue, and there are a number of ways to address it. First, whether 19/16 must be notated as a minor third is debatable. Western harmony mainly dealt with the [[5-limit]], and only the mapping of [[5/1\|5]] is fully established. Most conceptualization systems of [[just intonation]] ([[FJS]], [[HEJI]], etc.) indeed treats 19/16 as a minor third, but [[Sagittal notation\|Sagittal]] is a notable exception in that it is equipped with an accidental of ratio 19683/19456 besides the more common [[513/512]], so 19/16 can be an augmented second there. Otherwise, if one wants to notate 19/16 as a minor third, they can adopt an additional module of accidentals such as arrows to represent the comma step, allowing them to write the chord above as C-^Eb-G.		This temperament is, however, neither the first nor the most successful to raise the notational issue, and there are a number of ways to address it. First, whether 19/16 must be notated as a minor third is debatable. Western harmony mainly dealt with the [[5-limit]], and only the mapping of [[5/1\|5]] is fully established. Most conceptualization systems of [[just intonation]] ([[FJS]], [[HEJI]], etc.) indeed treats 19/16 as a minor third, but [[Sagittal notation\|Sagittal]] is a notable exception in that it is equipped with an accidental of ratio 19683/19456 besides the more common [[513/512]], so 19/16 can be an augmented second there. Otherwise, if one wants to notate 19/16 as a minor third, they can adopt an additional module of accidentals such as arrows to represent the comma step, allowing them to write the chord above as C-^Eb-G. There are also other temperaments known to raise the notational issue in much simpler chords, such as [[schismatic]] temperament which represents the 5-limit 10:12:15 triad as C-D#-G.

	See also [[protolangwidge]].		See also [[protolangwidge]].