Garischismic clan - Revision history

Hkm: /* 2.3.5.7.11.13.19 subgroup */

2026-06-08T17:59:58Z

2.3.5.7.11.13.19 subgroup

← Older revision		Revision as of 17:59, 8 June 2026
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	=== 2.3.5.7.11.13.19 subgroup ===		=== 2.3.5.7.11.13.19 subgroup ===
	Subgroup: 2.3.5.7.11.13~~.17~~.19		Subgroup: 2.3.5.7.11.13.19

	Comma list: 1216/1215, 1716/1715, 2080/2079, 2376/2375, 9633/9625		Comma list: 1216/1215, 1716/1715, 2080/2079, 2376/2375, 9633/9625

FloraC: + devitredecimal extensions for heptacot and garitritonic

2026-05-20T12:37:08Z

+ devitredecimal extensions for heptacot and garitritonic

@@ Line 173: / Line 173: @@
 Like [[#Cotoneum|cotoneum]], newt can be notated in the same way as [[cassaschismic]], but with half-sharps and half-flats and the extra equivalence that two comma steps and an aberschisma step make a half-apotome step. In other words, C–^↑↑E = C–v↓↓E = C–Ed.
-Newt continues to be significant as an [[11-limit]] temperament, where it tempers out the [[lehmerisma]] (3025/3024). This extends into a very strong [[13-limit]] temperament and eventually a very strong no-17 [[19-limit]] temperament, a.k.a. ''neonewt''. [[270edo]] and [[311edo]] are obvious tuning choices, but [[581edo]] and especially [[851edo]] are even better.
+Newt continues to be significant as an [[11-limit]] temperament, where it tempers out the lehmerisma ([[3025/3024]]). This extends into a very strong [[13-limit]] temperament and eventually a very strong no-17 [[19-limit]] temperament, a.k.a. ''neonewt''. [[270edo]] and [[311edo]] are obvious tuning choices, but [[581edo]] and especially [[851edo]] are more accurate.
 [[Subgroup]]: 2.3.5.7
@@ Line 527: / Line 527: @@
 : ''For the 5-limit version, see [[Schismic–commatic equivalence continuum #Heptacot (5-limit)]].''
-Heptacot tempers out the [[meter]] and may be described as the {{nowrap| 12 & 311 }} temperament.
+Heptacot tempers out the [[meter]] and may be described as the {{nowrap| 12 & 311 }} temperament, splitting the perfect fifth into seven semitones. It is the natural 7-limit extension of the 5-limit temperament named by [[Tristan Bay]] in 2024. [[311edo]] and [[323edo]] are obvious tuning choices, as well as anything in between such as [[634edo]].
 [[Subgroup]]: 2.3.5.7
@@ Line 545: / Line 547: @@
 [[Badness]] (Sintel): 3.06
 == Garitritonic ==
 : ''For the 5-limit version, see [[Schismic–Mercator equivalence continuum #Countritonic]].''
-Garitritonic may be described as the {{nowrap| 53 & 581 }} temperament, splitting the [[24/1|24th harmonic]] into nine tritone generators; its [[ploidacot]] is thus delta-enneacot. [[634edo]] makes for a strong tuning.
+Garitritonic may be described as the {{nowrap| 53 & 581 }} temperament, splitting the [[24/1|24th harmonic]] into nine tritone generators; its [[ploidacot]] is thus delta-enneacot. [[634edo]] makes for a strong 7-limit tuning, though in the higher limits one may prefer sticking to [[581edo]].
 Garitritonic was named by [[Flora Canou]] in 2026 as a contraction of ''gary'' and ''tritonic''.
@@ Line 569: / Line 619: @@
 [[Badness]] (Sintel): 6.12
 [[Category:Temperament clans]]
 [[Category:Garischismic clan| ]] <!-- main article -->
 [[Category:Rank 2]]

FloraC: + heptacot, + garitritonic

2026-05-20T11:00:34Z

+ heptacot, + garitritonic

@@ Line 28: / Line 28: @@
 The second comma of the comma list determines which full 7-limit or 11-limit family member we are looking at. Garibaldi adds the [[schisma]], or equivalently [[225/224]] and finds 5/4 at the diminished fourth. Cotoneum adds [[10976/10935]] and finds 5/4 at the septuple-diminished octave. These are generated by the fifth as is gary.
-Newt adds [[2401/2400]], halving the fifth. Gariwizmic adds the [[wizma]] with a 1/2-octave period. Alphatrident adds [[6144/6125]], slicing the twelfth in three. Satin adds [[2100875/2097152]], slicing the fourth in three. Vulture adds [[4375/4374]], slicing the twelfth in four. Sextile adds [[250047/250000]] with a 1/6-octave period. World calendar adds [[390625/388962]] with a 1/4-octave period as well as a halved fifth. Quintagar adds [[3136/3125]], slicing the fourth in five. Paramity adds [[65625/65536]], slicing the eleventh in five.
+Newt adds [[2401/2400]], halving the fifth. Gariwizmic adds the [[wizma]] with a 1/2-octave period. Alphatrident adds [[6144/6125]], slicing the twelfth in three. Satin adds [[2100875/2097152]], slicing the fourth in three. Vulture adds [[4375/4374]], slicing the twelfth in four. Sextile adds [[250047/250000]] with a 1/6-octave period. World calendar adds [[390625/388962]] with a 1/4-octave period as well as a halved fifth. Quintagar adds [[3136/3125]], slicing the fourth in five. Paramity adds [[65625/65536]], slicing the eleventh in five. Heptacot adds [[703125/702464]], slicing the fifth in seven. Finally, garitritonic adds 95703125/95551488 ({{monzo| -17 -6 9 2 }}), slicing the 24th harmonic in nine.
 Temperaments discussed elsewhere are:
@@ Line 523: / Line 523: @@
 Badness (Sintel): 1.82
 [[Category:Temperament clans]]
 [[Category:Garischismic clan| ]] <!-- main article -->
 [[Category:Rank 2]]

FloraC: Expand

2026-05-20T10:25:18Z

Expand

← Older revision		Revision as of 10:25, 20 May 2026
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	Cotoneum tempers out 10976/10935 ([[hemimage comma]]), and 823543/819200 ([[quince comma]]) in addition to the garischisma. This temperament can be described as {{nowrap\| 41 & 217 }}, and is supported by [[176edo\|176-]], [[217edo\|217-]], and [[258edo]]. 5/4 is found -49 generators away. In terms of chain-of-fifths notation, this is a sextuple-diminished octave, or a perfect fourth minus four generic commas.		Cotoneum tempers out 10976/10935 ([[hemimage comma]]), and 823543/819200 ([[quince comma]]) in addition to the garischisma. This temperament can be described as {{nowrap\| 41 & 217 }}, and is supported by [[176edo\|176-]], [[217edo\|217-]], and [[258edo]]. 5/4 is found -49 generators away. In terms of chain-of-fifths notation, this is a sextuple-diminished octave, or a perfect fourth minus four generic commas.

	However, cotoneum can be notated like [[cassaschismic]], where 5/4 is conceptualized as an aberschisma-up comma-down major third (C–^↓E), but with the extra equivalence ~~where~~ the generic aberschisma is identical to the [[41-comma]].		However, cotoneum can be notated like [[cassaschismic]], where 5/4 is conceptualized as an aberschisma-up comma-down major third (C–^↓E), but with the extra equivalence that the generic aberschisma is identical to the [[41-comma]]. In other words, we have C–^↑↑E = C–↓↓E.

	It can be extended to the 11-, 13-, 17-, and 19-limit by adding 441/440, 364/363, 595/594, and 343/342 to the comma list in this order.		It can be extended to the 11-, 13-, 17-, and 19-limit by adding 441/440, 364/363, 595/594, and 343/342 to the comma list in this order.
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	: ''For the 5-limit version, see [[Schismic–countercommatic equivalence continuum #Newt (5-limit)]].''		: ''For the 5-limit version, see [[Schismic–countercommatic equivalence continuum #Newt (5-limit)]].''

	Newt tempers out the [[breedsma]] and may be described as the {{nowrap\| 41 & 270 }} temperament. It has a generator of a neutral third (0.2 cents flat of [[49/40]]) with a [[ploidacot]] signature of dicot. 41 generator steps fall short of 12 octaves by a [[schisma]]~[[aberschisma]]. From there the intervals of 5 and 7 can be derived.		Newt tempers out the [[breedsma]] and may be described as the {{nowrap\| 41 & 270 }} temperament. It has a generator of a neutral third (0.2 cents flat of [[49/40]]) with a [[ploidacot]] signature of dicot. 41 generator steps fall short of 12 octaves by a generic aberschisma step of a [[schisma]]~[[aberschisma]]. From there the intervals of 5 and 7 can be derived.

	Newt continues to be significant as an [[11-limit]] temperament, where it tempers out the [[lehmerisma]] (3025/3024). This extends into a strong [[13-limit]] temperament and eventually a strong no-17 [[19-limit]] temperament, a.k.a. '''neonewt'''. [[270edo]] and [[311edo]] are obvious tuning choices, but [[581edo]] and especially [[851edo]] are even better.		Like [[#Cotoneum\|cotoneum]], newt can be notated in the same way as [[cassaschismic]], but with half-sharps and half-flats and the extra equivalence that two comma steps and an aberschisma step make a half-apotome step. In other words, C–^↑↑E = C–v↓↓E = C–Ed.

			Newt continues to be significant as an [[11-limit]] temperament, where it tempers out the [[lehmerisma]] (3025/3024). This extends into a very strong [[13-limit]] temperament and eventually a very strong no-17 [[19-limit]] temperament, a.k.a. ''neonewt''. [[270edo]] and [[311edo]] are obvious tuning choices, but [[581edo]] and especially [[851edo]] are even better.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

FloraC: + links. Fix heading level for gariwizmic

2026-05-20T09:43:50Z

+ links. Fix heading level for gariwizmic

← Older revision		Revision as of 09:43, 20 May 2026
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	== Cotoneum ==		== Cotoneum ==
	{{Main\| Cotoneum }}		{{Main\| Cotoneum }}
			: ''For the 5-limit version, see [[Schismic–countercommatic equivalence continuum #Cotoneum (5-limit)]].''

	Cotoneum tempers out 10976/10935 ([[hemimage comma]]), and 823543/819200 ([[quince comma]]) in addition to the garischisma. This temperament can be described as {{nowrap\| 41 & 217 }}, and is supported by [[176edo\|176-]], [[217edo\|217-]], and [[258edo]]. 5/4 is found -49 generators away. In terms of chain-of-fifths notation, this is a sextuple-diminished octave, or a perfect fourth minus four generic commas.		Cotoneum tempers out 10976/10935 ([[hemimage comma]]), and 823543/819200 ([[quince comma]]) in addition to the garischisma. This temperament can be described as {{nowrap\| 41 & 217 }}, and is supported by [[176edo\|176-]], [[217edo\|217-]], and [[258edo]]. 5/4 is found -49 generators away. In terms of chain-of-fifths notation, this is a sextuple-diminished octave, or a perfect fourth minus four generic commas.
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	== Newt ==		== Newt ==
			: ''For the 5-limit version, see [[Schismic–countercommatic equivalence continuum #Newt (5-limit)]].''

	Newt tempers out the [[breedsma]] and may be described as the {{nowrap\| 41 & 270 }} temperament. It has a generator of a neutral third (0.2 cents flat of [[49/40]]) with a [[ploidacot]] signature of dicot. 41 generator steps fall short of 12 octaves by a [[schisma]]~[[aberschisma]]. From there the intervals of 5 and 7 can be derived.		Newt tempers out the [[breedsma]] and may be described as the {{nowrap\| 41 & 270 }} temperament. It has a generator of a neutral third (0.2 cents flat of [[49/40]]) with a [[ploidacot]] signature of dicot. 41 generator steps fall short of 12 octaves by a [[schisma]]~[[aberschisma]]. From there the intervals of 5 and 7 can be derived.

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	[[Badness]] (Sintel): 2.22		[[Badness]] (Sintel): 2.22

	==== 11-limit ====		=== 11-limit ===
	Subgroup: 2.3.5.7.11		Subgroup: 2.3.5.7.11

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	Badness (Sintel): 1.01		Badness (Sintel): 1.01

	==== 13-limit ====		=== 13-limit ===
	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13

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	Badness (Sintel): 0.822		Badness (Sintel): 0.822

	==== 2.3.5.7.11.13.19 subgroup ====		=== 2.3.5.7.11.13.19 subgroup ===
	Subgroup: 2.3.5.7.11.13.19		Subgroup: 2.3.5.7.11.13.19

FloraC: Move newt here

2026-05-20T09:40:24Z

Move newt here

@@ Line 28: / Line 28: @@
 The second comma of the comma list determines which full 7-limit or 11-limit family member we are looking at. Garibaldi adds the [[schisma]], or equivalently [[225/224]] and finds 5/4 at the diminished fourth. Cotoneum adds [[10976/10935]] and finds 5/4 at the septuple-diminished octave. These are generated by the fifth as is gary.
-Gariwizmic adds the [[wizma]] with a 1/2-octave period. Newt adds [[2401/2400]], halving the fifth. Alphatrident adds [[6144/6125]], slicing the twelfth in three. Satin adds [[2100875/2097152]], slicing the fourth in three. Vulture adds [[4375/4374]], slicing the twelfth in four. Sextile adds [[250047/250000]] with a 1/6-octave period. World calendar adds [[390625/388962]] with a 1/4-octave period as well as a halved fifth. Quintagar adds [[3136/3125]], slicing the fourth in five. Paramity adds [[65625/65536]], slicing the eleventh in five.
+Newt adds [[2401/2400]], halving the fifth. Gariwizmic adds the [[wizma]] with a 1/2-octave period. Alphatrident adds [[6144/6125]], slicing the twelfth in three. Satin adds [[2100875/2097152]], slicing the fourth in three. Vulture adds [[4375/4374]], slicing the twelfth in four. Sextile adds [[250047/250000]] with a 1/6-octave period. World calendar adds [[390625/388962]] with a 1/4-octave period as well as a halved fifth. Quintagar adds [[3136/3125]], slicing the fourth in five. Paramity adds [[65625/65536]], slicing the eleventh in five.
 Temperaments discussed elsewhere are:
 * [[Garibaldi]] (+225/224) → [[Schismatic family #Garibaldi|Schismatic family]]
 * ''[[Alphatrident]]'' (+6144/6125) → [[Alphatricot family #Alphatrident|Alphatricot family]]
 * ''[[Vulture]]'' (+4375/4374) → [[Vulture family #Vulture|Vulture family]]
@@ Line 39: / Line 38: @@
 * ''[[Garistearn]]'' (+118098/117649) → [[Stearnsmic clan #Garistearn|Stearnsmic clan]]
-Considered below are cotoneum, gariwizmic, satin, sextile, and world calendar.
+Considered below are cotoneum, newt, gariwizmic, satin, sextile, and world calendar.
 ==== Subgroup extensions ====
@@ Line 165: / Line 164: @@
 Badness (Sintel): 1.33
 == Gariwizmic ==

FloraC: /* Cotoneum */ expand a little

2026-05-20T08:50:28Z

Cotoneum: expand a little

← Older revision		Revision as of 08:50, 20 May 2026
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	{{Main\| Cotoneum }}		{{Main\| Cotoneum }}

	~~The cotoneum temperament~~ tempers out 10976/10935 ([[hemimage comma]]), and 823543/819200 ([[quince comma]]) in addition to the garischisma. This temperament can be described as {{nowrap\| 41 & 217 }}, and is supported by [[176edo\|176-]], [[217edo\|217-]], and [[258edo]]. 5/4 is found ~~at the septuple~~-diminished octave ~~(C–Cbbbbbbb)~~ or ~~equivalently at the~~ perfect fourth minus four ~~Pythagorean~~ commas. It can be extended to the 11-, 13-, 17-, and 19-limit by adding 441/440, 364/363, 595/594, and 343/342 to the comma list in this order.		Cotoneum tempers out 10976/10935 ([[hemimage comma]]), and 823543/819200 ([[quince comma]]) in addition to the garischisma. This temperament can be described as {{nowrap\| 41 & 217 }}, and is supported by [[176edo\|176-]], [[217edo\|217-]], and [[258edo]]. 5/4 is found -49 generators away. In terms of chain-of-fifths notation, this is a sextuple-diminished octave, or a perfect fourth minus four generic commas.

			However, cotoneum can be notated like [[cassaschismic]], where 5/4 is conceptualized as an aberschisma-up comma-down major third (C–^↓E), but with the extra equivalence where the generic aberschisma is identical to the [[41-comma]].

			It can be extended to the 11-, 13-, 17-, and 19-limit by adding 441/440, 364/363, 595/594, and 343/342 to the comma list in this order.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

Overthink: /* Cotoneum */ formatting

2026-05-19T00:19:38Z

Cotoneum: formatting

← Older revision		Revision as of 00:19, 19 May 2026
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	{{Main\| Cotoneum }}		{{Main\| Cotoneum }}

	The cotoneum temperament tempers out 10976/10935 ([[hemimage comma]]), and 823543/819200 ([[quince comma]]) in addition to the garischisma. This temperament can be described as {{nowrap\| 41 & 217 }}, and is supported by [[176edo\|176-]], [[217edo\|217-]], and [[258edo]]. 5/4 is found at the septuple-diminished octave (~~C-Cbbbbbbb~~) or equivalently at the perfect fourth minus four Pythagorean commas. It can be extended to the 11-, 13-, 17-, and 19-limit by adding 441/440, 364/363, 595/594, and 343/342 to the comma list in this order.		The cotoneum temperament tempers out 10976/10935 ([[hemimage comma]]), and 823543/819200 ([[quince comma]]) in addition to the garischisma. This temperament can be described as {{nowrap\| 41 & 217 }}, and is supported by [[176edo\|176-]], [[217edo\|217-]], and [[258edo]]. 5/4 is found at the septuple-diminished octave (C–Cbbbbbbb) or equivalently at the perfect fourth minus four Pythagorean commas. It can be extended to the 11-, 13-, 17-, and 19-limit by adding 441/440, 364/363, 595/594, and 343/342 to the comma list in this order.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

Overthink: /* Cotoneum */ Copy over info from page

2026-05-19T00:19:10Z

Cotoneum: Copy over info from page

← Older revision		Revision as of 00:19, 19 May 2026
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.3164{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.3164{{c}}
	: error map: {{val\| 0.000 +0.361 +0.182 -1.256 }}		: error map: {{val\| 0.000 +0.361 +0.182 -1.256 }}

			[[Tuning ranges]]:
			* 7-odd-limit [[diamond monotone]]: ~4/3 = [497.14286, 498.46154] (29\70 to 27\65)
			* 9-odd-limit diamond monotone: ~4/3 = [497.14286, 498.11321] (29\70 to 22\53)
			* 7- and 9-odd-limit [[diamond tradeoff]]: ~4/3 = [497.64251, 498.04500]

	{{Optimal ET sequence\|legend=1\| 41, 135c, 176, 217, 258, 475 }}		{{Optimal ET sequence\|legend=1\| 41, 135c, 176, 217, 258, 475 }}
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	* WE: ~2 = 1199.8629{{c}}, ~3/2 = 702.2224{{c}}		* WE: ~2 = 1199.8629{{c}}, ~3/2 = 702.2224{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.3036{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.3036{{c}}

			Tuning ranges:
			* 11-odd-limit diamond monotone: ~4/3 = [497.56098, 497.87234] (17\41 to 39\94)
			* 11-odd-limit diamond tradeoff: ~4/3 = [497.64251, 498.04500]

	{{Optimal ET sequence\|legend=0\| 41, 135c, 176, 217 }}		{{Optimal ET sequence\|legend=0\| 41, 135c, 176, 217 }}
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	* WE: ~2 = 1199.8897{{c}}, ~3/2 = 702.2415{{c}}		* WE: ~2 = 1199.8897{{c}}, ~3/2 = 702.2415{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.3061{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.3061{{c}}

			Tuning ranges:
			* 13- and 15-odd-limit diamond monotone: ~4/3 = [497.56098, 497.77778] (17\41 to 56\135)
			* 13-odd-limit diamond tradeoff: ~4/3 = [497.64251, 498.04500]
			* 15-odd-limit diamond tradeoff: ~4/3 = [497.63067, 498.04500]

	{{Optimal ET sequence\|legend=0\| 41, 176, 217 }}		{{Optimal ET sequence\|legend=0\| 41, 176, 217 }}
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	* WE: ~2 = 1199.8939{{c}}, ~3/2 = 702.2445{{c}}		* WE: ~2 = 1199.8939{{c}}, ~3/2 = 702.2445{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.3064{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.3064{{c}}

			Tuning ranges:
			* 17-odd-limit diamond monotone: ~4/3 = [497.56098, 497.72727] (17\41 to 73\176)
			* 17-odd-limit diamond tradeoff: ~4/3 = [497.63067, 498.04500]

	{{Optimal ET sequence\|legend=0\| 41, 176, 217 }}		{{Optimal ET sequence\|legend=0\| 41, 176, 217 }}
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	* WE: ~2 = 1199.8766{{c}}, ~3/2 = 702.2355{{c}}		* WE: ~2 = 1199.8766{{c}}, ~3/2 = 702.2355{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.3077{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.3077{{c}}

			Tuning ranges:
			* 19- and 21-odd-limit diamond monotone: ~4/3 = [497.56098, 497.72727] (17\41 to 73\176)
			* 19- and 21-odd-limit diamond tradeoff: ~4/3 = [497.62290, 498.04500]

	{{Optimal ET sequence\|legend=0\| 41, 176, 217 }}		{{Optimal ET sequence\|legend=0\| 41, 176, 217 }}

FloraC: Partial reversal (last edit removed where 7/4 is mapped on the generator chain). Review on the subgroup extension

2026-05-18T06:17:48Z

Partial reversal (last edit removed where 7/4 is mapped on the generator chain). Review on the subgroup extension

@@ Line 3: / Line 3: @@
 == Gary ==
-Gary, the head of this clan, may be viewed as the [[2.3.7 subgroup|2.3.7-subgroup]] counterpart of [[schismic]]. It is generated by a [[3/2|perfect fifth]], and 7/4 is found at a minor seventh minus a Pyth-septimal comma. Gary can therefore use [[chain-of-fifths notation]] with an additional set of accidentals such as arrows to represent the comma step.
+Gary, the head of this clan, may be viewed as the [[2.3.7 subgroup|2.3.7-subgroup]] counterpart of [[schismic]]. It is generated by a [[3/2|perfect fifth]], and 7/4 is found at the double-diminished octave (C–C𝄫), or the minor seventh minus a generic comma step which stands in for both the Pythagorean comma and the septimal comma. Gary can therefore use [[chain-of-fifths notation]] with an additional set of accidentals such as arrows to represent the comma step.
 Just as there is the 1/8-schisma tuning for schismic, there is the 1/14-schisma tuning for gary, which tunes 7/4 pure by sharpening the perfect fifth by about 0.272 cents. Similarly, the 1/15-schisma tuning tunes [[7/6]] pure, and the 2/29-schisma tuning splits their difference, tuning the septimal diesis of [[49/48]] pure. [[135edo]] is close to the 1/14-schisma tuning, whereas [[634edo]] gives a tuning practically identical to 1/15-schisma. Other notable tunings not appearing in the optimal ET sequence include [[311edo]] and [[323edo]].
@@ Line 23: / Line 23: @@
 [[Badness]] (Sintel): 0.463
 === Overview to extensions ===
 The second comma of the comma list determines which full 7-limit or 11-limit family member we are looking at. Garibaldi adds the [[schisma]], or equivalently [[225/224]] and finds 5/4 at the diminished fourth. Cotoneum adds [[10976/10935]] and finds 5/4 at the septuple-diminished octave. These are generated by the fifth as is gary.
@@ Line 56: / Line 40: @@
 Considered below are cotoneum, gariwizmic, satin, sextile, and world calendar.
 == Cotoneum ==