1619edo - Revision history

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave" to "Octave-reduced form, reduced to the first half-octave"

2026-03-13T13:34:35Z

Text replacement - "Octave-reduced form, reduced to the first half-octave" to "Octave-reduced form, reduced to the first half-octave"

← Older revision		Revision as of 13:34, 13 March 2026
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	\| [[Counterschismic]]		\| [[Counterschismic]]
	\|}		\|}
	<nowiki/>* [[Normal forms\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms\|minimal form]] in parentheses if distinct		<nowiki/>* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==

FloraC: Cleanup

2025-10-27T13:27:27Z

Cleanup

← Older revision		Revision as of 13:27, 27 October 2025
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	1619edo supports a very precise rank two temperament, {{nowrap\|19 & 1619}}, which uses [[6/5]] as a generator and has a comma basis 4375/4374, 91125/91091, 196625/196608, and 54925000/54908469.		1619edo supports a very precise rank two temperament, {{nowrap\|19 & 1619}}, which uses [[6/5]] as a generator and has a comma basis 4375/4374, 91125/91091, 196625/196608, and 54925000/54908469.

	1619edo supports the keenanose temperament, which has comma basis 4225/4224, 4375/4374, 6656/6655, and 151263/151250. Keenanisma is the generator in the keenanose temperament, {{nowrap\|270 &~~amp;~~ 1619}}, in which it highlights the relationship between 270 keenanismas and the octave. It also achieves this since {{nowrap\|270 × 6 {{=}} 1620}}, and 1619 is 1 short of that and also excellent in the 13-limit.		1619edo supports the keenanose temperament, which has comma basis 4225/4224, 4375/4374, 6656/6655, and 151263/151250. Keenanisma is the generator in the keenanose temperament, {{nowrap\| 270 & 1619 }}, in which it highlights the relationship between 270 keenanismas and the octave. It also achieves this since {{nowrap\| 270 × 6 {{=}} 1620 }}, and 1619 is 1 short of that and also excellent in the 13-limit.

	Another temperament which highlights the interval relationships in 1619edo is {{nowrap\|45 &~~amp;~~ 1619}}, called ''decigrave'', since 10 steps make a 7/6, which is referred to as the grave minor third sometimes. It has a comma basis 4225/4224, 4375/4374, 6656/6655, {{monzo\|23 5 13 -23 1 0}} in the 13-limit. Its generator is 36 steps, which represents 65/64 and 66/65 tempered together, and 2 of them make 33/32. 5 of them make [[27/25]], and 10 of them make 7/6.		Another temperament which highlights the interval relationships in 1619edo is {{nowrap\| 45 & 1619 }}, called ''decigrave'', since 10 steps make a 7/6, which is referred to as the grave minor third sometimes. It has a comma basis 4225/4224, 4375/4374, 6656/6655, {{monzo\|23 5 13 -23 1 0}} in the 13-limit. Its generator is 36 steps, which represents 65/64 and 66/65 tempered together, and 2 of them make 33/32. 5 of them make [[27/25]], and 10 of them make 7/6.

	1619edo supports the {{nowrap\|494 &~~amp;~~ 1619}} temperament called moulin, with the comma basis of 4225/4224, 4375/4374, 6656/6655, 91125/91091. The 25-tone scale of moulin is capable of supporting the 8:11:13 triad, as it takes less than 25 notes to map the 11th and 13th harmonics.		1619edo supports the {{nowrap\| 494 & 1619 }} temperament called moulin, with the comma basis of 4225/4224, 4375/4374, 6656/6655, 91125/91091. The 25-tone scale of moulin is capable of supporting the 8:11:13 triad, as it takes less than 25 notes to map the 11th and 13th harmonics.

	=== The Vidarines ===		=== The Vidarines ===
Line 26:		Line 26:
	\|-		\|-
	! Temperament		! Temperament
	! Generator<br />associated ratio		! Generator<br>associated ratio
	! Completing comma		! Completing comma
	\|-		\|-
	\| Keenanose ({{nowrap\|270 &~~amp;~~ 1619}})		\| Keenanose ({{nowrap\| 270 & 1619 }})
	\| 385/384		\| 385/384
	\| 151263/151250		\| 151263/151250
	\|-		\|-
	\| Decigrave ({{nowrap\|45 &~~amp;~~ 1619}})		\| Decigrave ({{nowrap\| 45 & 1619 }})
	\| 66/65 ~ 65/64		\| 66/65 ~ 65/64
	\| {{~~monzo~~\|23 5 13 -23 1 0}}		\| {{Monzo\| 23 5 13 -23 1 0 }}
	\|-		\|-
	\| Moulin ({{nowrap\|494 &~~amp;~~ 1619}})		\| Moulin ({{nowrap\| 494 & 1619 }})
	\| 13/11		\| 13/11
	\| 91125/91091		\| 91125/91091
	\|-		\|-
	\| {{~~nowrap~~\|46 &~~amp;~~ 1619}}		\| {{Nowrap\| 46 & 1619 }}
	\| 3328/3087		\| 3328/3087
	\| {{~~monzo~~\| -18 9 -2 8 -3 -1 }}		\| {{Monzo\| -18 9 -2 8 -3 -1 }}
	\|-		\|-
	\| {{~~nowrap~~\|178 &~~amp;~~ 1619}}		\| {{Nowrap\| 178 & 1619 }}
	\| 4429568/4084101		\| 4429568/4084101
	\| {{~~monzo~~\| -29 10 2 12 -3 -4 }}		\| {{Monzo\| -29 10 2 12 -3 -4 }}
	\|-		\|-
	\| {{nowrap\|224 &~~amp;~~ 1619}}		\| {{nowrap\| 224 & 1619 }}
	\| 256/175		\| 256/175
	\| 18753525/18743296		\| 18753525/18743296
	\|-		\|-
	\| {{nowrap\|764 &~~amp;~~ 1619}}		\| {{nowrap\| 764 & 1619 }}
	\| 12375/8918		\| 12375/8918
	\| 52734375/52706752		\| 52734375/52706752
	\|-		\|-
	\| {{nowrap\|901 &~~amp;~~ 1619}}		\| {{nowrap\| 901 & 1619 }}
	\| 104/99		\| 104/99
	\| 34875815625/34843787264		\| 34875815625/34843787264
	\|}		\|}
	While [[abigail]] is a member of the vidarines, 1619edo does not support it because abigail is a period~~-2 temperament~~, and 1619 is an odd number.		While [[abigail]] is a member of the vidarines, 1619edo does not support it because abigail has a semi-octave period, and 1619 is an odd number.

	=== Prime harmonics ===		=== Prime harmonics ===
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	\| perfect octave		\| perfect octave
	\|}		\|}
	<nowiki />* Named in accordance to their most just 13-limit counterpart using the names accepted on the wiki.		<nowiki/>* Named in accordance to their most just 13-limit counterpart using the names accepted on the wiki.

	== Regular temperament properties ==		== Regular temperament properties ==
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	! rowspan="2" \| [[Comma list]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \| [[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \| Optimal<br />8ve stretch (¢)		! rowspan="2" \| Optimal<br>8ve stretch (¢)
	! colspan="2" \| Tuning error		! colspan="2" \| Tuning error
	\|-		\|-
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	\|-		\|-
	\| 2.3		\| 2.3
	\| {{~~monzo~~\| -2566 1619 }}		\| {{Monzo\| -2566 1619 }}
	\| [{{~~val~~\| 1619 2566 }}]		\| {{Mapping\| 1619 2566 }}
	\| +0.0127		\| +0.0127
	\| 0.0127		\| 0.0127
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	\|-		\|-
	\| 2.3.5		\| 2.3.5
	\| {{~~monzo~~\| -69 45 -1 }}, {{monzo\| -82 -1 36 }}		\| {{Monzo\| -69 45 -1 }}, {{monzo\| -82 -1 36 }}
	\| [{{~~val~~\| 1619 2566 3759 }}]		\| {{Mapping\| 1619 2566 3759 }}
	\| +0.0299		\| +0.0299
	\| 0.0265		\| 0.0265
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	\| 2.3.5.7		\| 2.3.5.7
	\| 4375/4374, 52734375/52706752, {{monzo\| -67 14 6 11 }}		\| 4375/4374, 52734375/52706752, {{monzo\| -67 14 6 11 }}
	\| [{{~~val~~\| 1619 2566 3759 4545 }}]		\| {{Mapping\| 1619 2566 3759 4545 }}
	\| +0.0295		\| +0.0295
	\| 0.0229		\| 0.0229
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	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 4375/4374, 117649/117612, 759375/758912, {{monzo\| 24 -6 0 1 -5 }}		\| 4375/4374, 117649/117612, 759375/758912, {{monzo\| 24 -6 0 1 -5 }}
	\| [{{~~val~~\| 1619 2566 3759 4545 5601 }}]		\| {{Mapping\| 1619 2566 3759 4545 5601 }}
	\| +0.0159		\| +0.0159
	\| 0.0341		\| 0.0341
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	\| 2.3.5.7.11.13		\| 2.3.5.7.11.13
	\| 4225/4224, 4375/4374, 6656/6655, 78125/78078, 117649/117612		\| 4225/4224, 4375/4374, 6656/6655, 78125/78078, 117649/117612
	\| [{{~~val~~\| 1619 2566 3759 4545 5601 5991 }}]		\| {{Mapping\| 1619 2566 3759 4545 5601 5991 }}
	\| +0.0136		\| +0.0136
	\| 0.0315		\| 0.0315
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	\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator		\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
	\|-		\|-
	! Periods<br />per 8ve		! Periods<br>per 8ve
	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br />ratio*		! Associated<br>ratio*
	! Temperaments		! Temperaments
	\|-		\|-
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	\| 435.083		\| 435.083
	\| 9/7		\| 9/7
	\| [[Supermajor]]		\| [[Supermajor (temperament)\|Supermajor]]
	\|-		\|-
	\| 1		\| 1
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	\| [[Counterschismic]]		\| [[Counterschismic]]
	\|}		\|}
	<nowiki />* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|minimal form]] in parentheses if distinct		<nowiki/>* [[Normal forms\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==

Francium: /* Music */ +music

2025-06-05T13:52:06Z

Music: +music

← Older revision		Revision as of 13:52, 5 June 2025
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	* "Le's Cancel Monday" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/5yxExt1gC5KA1grtcefU2m Spotify] \| [https://francium223.bandcamp.com/track/les-cancel-monday Bandcamp] \| [https://www.youtube.com/watch?v=TWAsePkJvtI YouTube]		* "Le's Cancel Monday" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/5yxExt1gC5KA1grtcefU2m Spotify] \| [https://francium223.bandcamp.com/track/les-cancel-monday Bandcamp] \| [https://www.youtube.com/watch?v=TWAsePkJvtI YouTube]
	* "this you?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/3ZdhHP0wAyzg9aQkKwQIar Spotify] \| [https://francium223.bandcamp.com/track/this-you Bandcamp] \| [https://www.youtube.com/watch?v=28NveBGA3-U YouTube]		* "this you?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/3ZdhHP0wAyzg9aQkKwQIar Spotify] \| [https://francium223.bandcamp.com/track/this-you Bandcamp] \| [https://www.youtube.com/watch?v=28NveBGA3-U YouTube]
			* "Derpy Cat" from ''Microtonal Six-Dimensional Cats'' (2025) – [https://open.spotify.com/track/1j301ZrWIbkw1b8Ar5Ww5L Spotify] \| [https://francium223.bandcamp.com/track/derpy-cat Bandcamp] \| [https://www.youtube.com/watch?v=qjNJoR__pT4 YouTube]

	[[Category:Quartismic]]		[[Category:Quartismic]]

Francium: /* Music */ +music

2025-04-15T11:09:09Z

Music: +music

← Older revision		Revision as of 11:09, 15 April 2025
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	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Le's Cancel Monday" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/5yxExt1gC5KA1grtcefU2m Spotify] \| [https://francium223.bandcamp.com/track/les-cancel-monday Bandcamp] \| [https://www.youtube.com/watch?v=TWAsePkJvtI YouTube] – ~~in Canupic, 1619edo tuning~~		* "Le's Cancel Monday" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/5yxExt1gC5KA1grtcefU2m Spotify] \| [https://francium223.bandcamp.com/track/les-cancel-monday Bandcamp] \| [https://www.youtube.com/watch?v=TWAsePkJvtI YouTube]
			* "this you?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/3ZdhHP0wAyzg9aQkKwQIar Spotify] \| [https://francium223.bandcamp.com/track/this-you Bandcamp] \| [https://www.youtube.com/watch?v=28NveBGA3-U YouTube]

	[[Category:Quartismic]]		[[Category:Quartismic]]

Lériendil at 20:56, 1 April 2025

2025-04-01T20:56:40Z

← Older revision		Revision as of 20:56, 1 April 2025
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	\| 83.014		\| 83.014
	\| 1573/1500		\| 1573/1500
	\| [[~~Acrosextilififths~~]]		\| [[Acrosextilifourths]]
	\|-		\|-
	\| 1		\| 1

Francium: changed EDO intro to ED intro

2025-02-19T18:23:27Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:23, 19 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1619~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2025-01-18T14:53:09Z

+music

← Older revision		Revision as of 14:53, 18 January 2025
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	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

			== Music ==
			; [[Francium]]
			* "Le's Cancel Monday" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/5yxExt1gC5KA1grtcefU2m Spotify] \| [https://francium223.bandcamp.com/track/les-cancel-monday Bandcamp] \| [https://www.youtube.com/watch?v=TWAsePkJvtI YouTube] – in Canupic, 1619edo tuning

	[[Category:Quartismic]]		[[Category:Quartismic]]

ArrowHead294 at 15:18, 16 January 2025

2025-01-16T15:18:10Z

← Older revision		Revision as of 15:18, 16 January 2025
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	Since 33/32 is close to 1\45, 7\6 is close to 1\9, and 385/384 is close to 1\270, 1619edo can be thought of as [[1620edo]] where one step was extracted and all others were moved into a more harmonically just position. It achieves this because 1620edo is contorted 270edo in the 11-limit, and its 13/8 is on the flat side coming from 324edo, and thus when it is octave stretched, steps sharpen enough to arrive at 1619edo's 13-limit excellence.		Since 33/32 is close to 1\45, 7\6 is close to 1\9, and 385/384 is close to 1\270, 1619edo can be thought of as [[1620edo]] where one step was extracted and all others were moved into a more harmonically just position. It achieves this because 1620edo is contorted 270edo in the 11-limit, and its 13/8 is on the flat side coming from 324edo, and thus when it is octave stretched, steps sharpen enough to arrive at 1619edo's 13-limit excellence.

	1619edo supports a very precise rank two temperament, 19 & 1619, which uses [[6/5]] as a generator and has a comma basis 4375/4374, 91125/91091, 196625/196608, and 54925000/54908469.		1619edo supports a very precise rank two temperament, {{nowrap\|19 & 1619}}, which uses [[6/5]] as a generator and has a comma basis 4375/4374, 91125/91091, 196625/196608, and 54925000/54908469.

	1619edo supports the keenanose temperament, which has comma basis 4225/4224, 4375/4374, 6656/6655, and 151263/151250. Keenanisma is the generator in the keenanose temperament, 270 & 1619, in which it highlights the relationship between 270 keenanismas and the octave. It also achieves this since 270 × 6 = 1620, and 1619 is 1 short of that and also excellent in the 13-limit.		1619edo supports the keenanose temperament, which has comma basis 4225/4224, 4375/4374, 6656/6655, and 151263/151250. Keenanisma is the generator in the keenanose temperament, {{nowrap\|270 & 1619}}, in which it highlights the relationship between 270 keenanismas and the octave. It also achieves this since {{nowrap\|270 × 6 {{=}} 1620}}, and 1619 is 1 short of that and also excellent in the 13-limit.

	Another temperament which highlights the interval relationships in 1619edo is 45 & 1619, called ''decigrave'', since 10 steps make a 7/6, which is referred to as the grave minor third sometimes. It has a comma basis 4225/4224, 4375/4374, 6656/6655, {{monzo\|23 5 13 -23 1 0}} in the 13-limit. Its generator is 36 steps, which represents 65/64 and 66/65 tempered together, and 2 of them make 33/32. 5 of them make [[27/25]], and 10 of them make 7/6.		Another temperament which highlights the interval relationships in 1619edo is {{nowrap\|45 & 1619}}, called ''decigrave'', since 10 steps make a 7/6, which is referred to as the grave minor third sometimes. It has a comma basis 4225/4224, 4375/4374, 6656/6655, {{monzo\|23 5 13 -23 1 0}} in the 13-limit. Its generator is 36 steps, which represents 65/64 and 66/65 tempered together, and 2 of them make 33/32. 5 of them make [[27/25]], and 10 of them make 7/6.

	1619edo supports the 494 & 1619 temperament called moulin, with the comma basis of 4225/4224, 4375/4374, 6656/6655, 91125/91091. The 25-tone scale of moulin is capable of supporting the 8:11:13 triad, as it takes less than 25 notes to map the 11th and 13th harmonics.		1619edo supports the {{nowrap\|494 & 1619}} temperament called moulin, with the comma basis of 4225/4224, 4375/4374, 6656/6655, 91125/91091. The 25-tone scale of moulin is capable of supporting the 8:11:13 triad, as it takes less than 25 notes to map the 11th and 13th harmonics.

	=== The Vidarines ===		=== The Vidarines ===
	1619edo supports [[vidar]], which has the comma basis 4225/4224, 4375/4374, and 6656/6655. In addition, it contains a wealth of rank-two 13-limit temperaments that are produced by adding one comma on top of the vidar comma basis;. Temperaments described above such as decigrave, keenanose, moulin, are members of this collection. Eliora proposes the name ''The Vidarines'' for this collection of temperaments.		1619edo supports [[vidar]], which has the comma basis 4225/4224, 4375/4374, and 6656/6655. In addition, it contains a wealth of rank-two 13-limit temperaments that are produced by adding one comma on top of the vidar comma basis;. Temperaments described above such as decigrave, keenanose, moulin, are members of this collection. Eliora proposes the name ''The Vidarines'' for this collection of temperaments.

	A quick summary is shown below.		A quick summary is shown below.

	{\| class="wikitable"		{\| class="wikitable"
	\|+ style="font-size: 105%;" \| The Vidarines in 1619edo (named and unnamed)		\|+ style="font-size: 105%;" \| The Vidarines in 1619edo (named and unnamed)
	\|-		\|-
	! Temperament		! Temperament
	! Generator<br>associated ratio		! Generator<br />associated ratio
	! Completing comma		! Completing comma
	\|-		\|-
	\| Keenanose (270 & 1619)		\| Keenanose ({{nowrap\|270 & 1619}})
	\| 385/384		\| 385/384
	\| 151263/151250		\| 151263/151250
	\|-		\|-
	\| Decigrave (45 & 1619)		\| Decigrave ({{nowrap\|45 & 1619}})
	\| 66/65 ~ 65/64		\| 66/65 ~ 65/64
	\| {{monzo\|23 5 13 -23 1 0}}		\| {{monzo\|23 5 13 -23 1 0}}
	\|-		\|-
	\| Moulin (494 & 1619)		\| Moulin ({{nowrap\|494 & 1619}})
	\| 13/11		\| 13/11
	\| 91125/91091		\| 91125/91091
	\|-		\|-
	\| 46 & 1619		\| {{nowrap\|46 & 1619}}
	\| 3328/3087		\| 3328/3087
	\| {{monzo\| -18 9 -2 8 -3 -1 }}		\| {{monzo\| -18 9 -2 8 -3 -1 }}
	\|-		\|-
	\| 178 & 1619		\| {{nowrap\|178 & 1619}}
	\| 4429568/4084101		\| 4429568/4084101
	\| {{monzo\| -29 10 2 12 -3 -4 }}		\| {{monzo\| -29 10 2 12 -3 -4 }}
	\|-		\|-
	\| 224 & 1619		\| {{nowrap\|224 & 1619}}
	\| 256/175		\| 256/175
	\| 18753525/18743296		\| 18753525/18743296
	\|-		\|-
	\| 764 & 1619		\| {{nowrap\|764 & 1619}}
	\| 12375/8918		\| 12375/8918
	\| 52734375/52706752		\| 52734375/52706752
	\|-		\|-
	\| 901 & 1619		\| {{nowrap\|901 & 1619}}
	\| 104/99		\| 104/99
	\| 34875815625/34843787264		\| 34875815625/34843787264
Line 220:		Line 221:
	\| [[Counterschismic]]		\| [[Counterschismic]]
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if ~~it is~~ distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

	[[Category:Quartismic]]		[[Category:Quartismic]]
	~~{{Todo\| review }}~~

ArrowHead294 at 12:01, 16 November 2024

2024-11-16T12:01:04Z

← Older revision		Revision as of 12:01, 16 November 2024
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	! [[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	! [[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)

	\|-		\|-
	\| 2.3		\| 2.3
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	! Associated<br />ratio*		! Associated<br />ratio*
	! Temperaments		! Temperaments

	\|-		\|-
	\| 1		\| 1

ArrowHead294 at 11:59, 16 November 2024

2024-11-16T11:59:13Z

← Older revision		Revision as of 11:59, 16 November 2024
Line 115:		Line 115:

	== Regular temperament properties ==		== Regular temperament properties ==
	{~~{comma basis begin}}~~		{\| class="wikitable center-4 center-5 center-6"
			\|-
			! rowspan="2" \| [[Subgroup]]
			! rowspan="2" \| [[Comma list]]
			! rowspan="2" \| [[Mapping]]
			! rowspan="2" \| Optimal<br />8ve stretch (¢)
			! colspan="2" \| Tuning error
			\|-
			! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)

	\|-		\|-
	\| 2.3		\| 2.3
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	\| 0.0315		\| 0.0315
	\| 4.26		\| 4.26
	~~{{comma basis end}~~}		\|}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{{rank-2 ~~begin}}~~		{\| class="wikitable center-all left-5"
			\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
			\|-
			! Periods<br />per 8ve
			! Generator*
			! Cents*
			! Associated<br />ratio*
			! Temperaments

	\|-		\|-
	\| 1		\| 1
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	\| 4/3		\| 4/3
	\| [[Counterschismic]]		\| [[Counterschismic]]
	~~{{rank-2 end}~~}		\|}
	~~{{orf}}~~		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

	[[Category:Quartismic]]		[[Category:Quartismic]]
	{{Todo\| review }}		{{Todo\| review }}