270edo - Revision history

FloraC: Update some names

2026-09-20T03:45:17Z

Update some names

← Older revision		Revision as of 03:45, 20 September 2026
Line 9:		Line 9:
	In the [[7-limit]] it tempers out the [[breedsma]] (2401/2400), the [[ragisma]] (4375/4374), and by extension the [[wizma]] (420175/419904), and the [[landscape comma]] (250047/250000) so that it [[support]]s [[ennealimmal]] temperament. It also tempers out the [[quasiorwellisma]] (29360128/29296875) and the [[septischisma]] (33554432/33480783).		In the [[7-limit]] it tempers out the [[breedsma]] (2401/2400), the [[ragisma]] (4375/4374), and by extension the [[wizma]] (420175/419904), and the [[landscape comma]] (250047/250000) so that it [[support]]s [[ennealimmal]] temperament. It also tempers out the [[quasiorwellisma]] (29360128/29296875) and the [[septischisma]] (33554432/33480783).

	In the [[11-limit]], it tempers out the [[lehmerisma]] (3025/3024), the [[~~vishdel comma~~]] (5632/5625), the [[kalisma]] (9801/9800), the [[symbiotic comma]] (19712/19683), the [[nexus comma]] (1771561/1769472), and the [[quartisma]] (117440512/117406179). It is almost consistent to distance 3 in the [[11-odd-limit]], only barely missing [[11/9]] (off by 16.68%).		In the [[11-limit]], it tempers out the [[lehmerisma]] (3025/3024), the [[vishdelisma]] (5632/5625), the [[kalisma]] (9801/9800), the [[symbiotic comma]] (19712/19683), the [[nexus comma]] (1771561/1769472), and the [[quartisma]] (117440512/117406179). It is almost consistent to distance 3 in the [[11-odd-limit]], only barely missing [[11/9]] (off by 16.68%).

	Finally, in the [[13-limit]] it is slightly worse but still excellent. It tempers out [[676/675]], [[1001/1000]], [[1716/1715]], and [[2080/2079]], making it an [[The Archipelago\|archipelago]] tuning, and the [[optimal patent val]] for some of the archipelago temperaments such as [[hemiennealimmal]], [[vulture]], [[eagle]], and [[avicenna (temperament)\|avicenna]].		Finally, in the [[13-limit]] it is slightly worse but still excellent. It tempers out [[676/675]], [[1001/1000]], [[1716/1715]], and [[2080/2079]], making it an [[The Archipelago\|archipelago]] tuning, and the [[optimal patent val]] for some of the archipelago temperaments such as [[hemiennealimmal]], [[vulture]], [[eagle]], and [[avicenna (temperament)\|avicenna]].
Line 234:		Line 234:
	\|-		\|-
	\| 5		\| 5
	\| [[~~Vishnuzma~~\|(20 digits)]]		\| [[Vishnu comma\|(20 digits)]]
	\| 3.34		\| 3.34
	\| {{Monzo\| 23 6 -14 }}		\| {{Monzo\| 23 6 -14 }}
	\| Sasepbigu		\| Sasepbigu
	\| sg<sup>14</sup>		\| sg<sup>14</sup>
	\| ~~Vishnuzma~~		\| Vishnu comma
	\|-		\|-
	\| 7		\| 7
Line 247:		Line 247:
	\| Sasaru		\| Sasaru
	\| ssr		\| ssr
	\| ~~Garischisma~~		\| Septischisma
			\|-
			\| 7
			\| [[Quasiorwellisma\|(16 digits)]]
			\| 3.73
			\| {{Monzo\| 22 -1 -10 1 }}
			\| Sazoquinbigu
			\| szg<sup>10</sup>
			\| Quasiorwellisma
	\|-		\|-
	\| 7		\| 7
Line 264:		Line 272:
	\| zy<sup>4</sup>		\| zy<sup>4</sup>
	\| Ragisma		\| Ragisma
	\|-
	~~\| 7~~
	~~\| [[Quasiorwellisma\|(16 digits)]]~~
	~~\| 3.73~~
	~~\| {{Monzo\| 22 -1 -10 1 }}~~
	~~\| Sazoquinbigu~~
	~~\| szg<sup>10</sup>~~
	~~\| Quasiorwellisma~~
	\|-		\|-
	\| 11		\| 11
Line 287:		Line 287:
	\| Saloquagu		\| Saloquagu
	\| s1og<sup>4</sup>		\| s1og<sup>4</sup>
	\| ~~Vishdel comma~~		\| Vishdelisma
	\|-		\|-
	\| 11		\| 11
Line 345:		Line 345:
	\| Minisma		\| Minisma
	\|-		\|-
	\|17		\| 17
	\| [[12376/12375]]		\| [[12376/12375]]
	\| 0.14		\| 0.14
Line 361:		Line 361:
	\| Password, Eratosthenes' comma		\| Password, Eratosthenes' comma
	\|-		\|-
	\|19		\| 19
	\|[[11859211/11859210\|(16 digits)]]		\| [[11859211/11859210\|(16 digits)]]
	\|0.00		\| 0.00
	\|{{Monzo\|-1 -4 -1 1 -4 1 0 4}}		\| {{Monzo\| -1 -4 -1 1 -4 1 0 4 }}
	\|<small>Quadno-athoquadlu-azogu</small>		\| <small>Quadno-athoquadlu-azogu</small>
	\|<small>9o<sup>4</sup>3o1u<sup>4</sup>zg</small>		\| <small>9o<sup>4</sup>3o1u<sup>4</sup>zg</small>
	\|Tredekisma		\| Tredekisma
	\|-		\|-
	\| 23		\| 23

Overthink: even that's not quite true, actually

2026-09-10T21:57:56Z

even that's not quite true, actually

← Older revision		Revision as of 21:57, 10 September 2026
Line 9:		Line 9:
	In the [[7-limit]] it tempers out the [[breedsma]] (2401/2400), the [[ragisma]] (4375/4374), and by extension the [[wizma]] (420175/419904), and the [[landscape comma]] (250047/250000) so that it [[support]]s [[ennealimmal]] temperament. It also tempers out the [[quasiorwellisma]] (29360128/29296875) and the [[septischisma]] (33554432/33480783).		In the [[7-limit]] it tempers out the [[breedsma]] (2401/2400), the [[ragisma]] (4375/4374), and by extension the [[wizma]] (420175/419904), and the [[landscape comma]] (250047/250000) so that it [[support]]s [[ennealimmal]] temperament. It also tempers out the [[quasiorwellisma]] (29360128/29296875) and the [[septischisma]] (33554432/33480783).

	In the [[11-limit]], it tempers out the [[lehmerisma]] (3025/3024), the [[vishdel comma]] (5632/5625), the [[kalisma]] (9801/9800), the [[symbiotic comma]] (19712/19683), the [[nexus comma]] (1771561/1769472), and the [[quartisma]] (117440512/117406179). ~~Notably, it~~ is consistent to distance 3 in the [[11-odd-limit]].		In the [[11-limit]], it tempers out the [[lehmerisma]] (3025/3024), the [[vishdel comma]] (5632/5625), the [[kalisma]] (9801/9800), the [[symbiotic comma]] (19712/19683), the [[nexus comma]] (1771561/1769472), and the [[quartisma]] (117440512/117406179). It is almost consistent to distance 3 in the [[11-odd-limit]], only barely missing [[11/9]] (off by 16.68%).

	Finally, in the [[13-limit]] it is slightly worse but still excellent. It tempers out [[676/675]], [[1001/1000]], [[1716/1715]], and [[2080/2079]], making it an [[The Archipelago\|archipelago]] tuning, and the [[optimal patent val]] for some of the archipelago temperaments such as [[hemiennealimmal]], [[vulture]], [[eagle]], and [[avicenna (temperament)\|avicenna]].		Finally, in the [[13-limit]] it is slightly worse but still excellent. It tempers out [[676/675]], [[1001/1000]], [[1716/1715]], and [[2080/2079]], making it an [[The Archipelago\|archipelago]] tuning, and the [[optimal patent val]] for some of the archipelago temperaments such as [[hemiennealimmal]], [[vulture]], [[eagle]], and [[avicenna (temperament)\|avicenna]].

FloraC: /* Theory */ - math error (the max error in the 11-odd-limit comes from 11/9); improve links

2026-09-09T06:58:51Z

Theory: - math error (the max error in the 11-odd-limit comes from 11/9); improve links

← Older revision		Revision as of 06:58, 9 September 2026
Line 7:		Line 7:
	In the [[5-limit]] it tempers out the [[ennealimma]], {{monzo\| 1 -27 18 }}, the [[vulture comma]], {{monzo\| 24 -21 4 }}, and the [[vishnuzma]], {{monzo\| 23 6 -14 }}.		In the [[5-limit]] it tempers out the [[ennealimma]], {{monzo\| 1 -27 18 }}, the [[vulture comma]], {{monzo\| 24 -21 4 }}, and the [[vishnuzma]], {{monzo\| 23 6 -14 }}.

	In the [[7-limit]] it tempers out the [[~~2401/2400\|~~breedsma]] (2401/2400), the [[~~4375/4374\|~~ragisma]] (4375/4374), and by extension the [[wizma]] (420175/419904), and the [[landscape comma]] (250047/250000) so that it [[support]]s [[ennealimmal]] temperament. It also tempers out the [[quasiorwellisma]] (29360128/29296875) and the [[~~garischisma~~]] (33554432/33480783).		In the [[7-limit]] it tempers out the [[breedsma]] (2401/2400), the [[ragisma]] (4375/4374), and by extension the [[wizma]] (420175/419904), and the [[landscape comma]] (250047/250000) so that it [[support]]s [[ennealimmal]] temperament. It also tempers out the [[quasiorwellisma]] (29360128/29296875) and the [[septischisma]] (33554432/33480783).

	In the [[11-limit]], it tempers out the lehmerisma ([[3025/3024]]), the vishdel comma ([[5632/5625]]), the kalisma ([[9801/9800]]), the [[symbiotic comma]] (19712/19683), the [[nexus comma]] (1771561/1769472), and the [[quartisma]] (117440512/117406179). Notably, it is consistent to distance 3 in the [[11-odd-limit]]~~, and almost to distance 4 ((11/10)<sup>4</sup> and (20/11)<sup>4</sup> are a hair off, 50.4%)~~.		In the [[11-limit]], it tempers out the [[lehmerisma]] (3025/3024), the [[vishdel comma]] (5632/5625), the [[kalisma]] (9801/9800), the [[symbiotic comma]] (19712/19683), the [[nexus comma]] (1771561/1769472), and the [[quartisma]] (117440512/117406179). Notably, it is consistent to distance 3 in the [[11-odd-limit]].

	Finally, in the [[13-limit]] it is slightly worse but still excellent. It tempers out [[676/675]], [[1001/1000]], [[1716/1715]], and [[2080/2079]], making it an [[The Archipelago\|archipelago]] tuning, and the [[optimal patent val]] for some of the archipelago temperaments such as [[hemiennealimmal]], [[vulture]], [[eagle]], and [[avicenna (temperament)\|avicenna]].		Finally, in the [[13-limit]] it is slightly worse but still excellent. It tempers out [[676/675]], [[1001/1000]], [[1716/1715]], and [[2080/2079]], making it an [[The Archipelago\|archipelago]] tuning, and the [[optimal patent val]] for some of the archipelago temperaments such as [[hemiennealimmal]], [[vulture]], [[eagle]], and [[avicenna (temperament)\|avicenna]].

FloraC: /* Regular temperament properties */ + link to triacontoid

2026-09-04T08:12:14Z

Regular temperament properties: + link to triacontoid

← Older revision		Revision as of 08:12, 4 September 2026
Line 528:		Line 528:
	\| 2\270		\| 2\270
	\| 8.{{overline\|8}}		\| 8.{{overline\|8}}
	\| ~~176~~/~~175~~		\| 196/195
	\| [[Decoid]]		\| [[Decoid]]
	\|-		\|-
Line 566:		Line 566:
	\| 385/384		\| 385/384
	\| [[Zinc]]		\| [[Zinc]]
			\|-
			\| 30
			\| 2\270
			\| 8.{{overline\|8}}
			\| 196/195
			\| [[Triacontoid]]
	\|-		\|-
	\| 45		\| 45

FloraC: /* Rank-2 temperaments */ + trivish. Also convert the table to minimal form since we're already reducing it to the first semi-octave

2026-06-20T15:12:07Z

Rank-2 temperaments: + trivish. Also convert the table to minimal form since we're already reducing it to the first semi-octave

← Older revision		Revision as of 15:12, 20 June 2026
Line 446:		Line 446:
	\| 25/19		\| 25/19
	\| [[Vulture]]		\| [[Vulture]]
			\|-
			\| 2
			\| 4\270
			\| 17.{{overline\|7}}
			\| 99/98
			\| [[Quarvish]]
	\|-		\|-
	\| 2		\| 2
Line 457:		Line 463:
	\| 71.{{overline\|1}}		\| 71.{{overline\|1}}
	\| 25/24		\| 25/24
	\| [[Vishnu]] / ananta ~~/ acyuta~~		\| [[Vishnu]] / acyuta / ananta
	\|-		\|-
	\| 2		\| 2
	\| ~~112\270<br>(~~23\270)		\| 23\270
	\| ~~497.{{overline\|7}}<br>(~~102.{{overline\|2}})		\| 102.{{overline\|2}}
	\| ~~4/3<br>(~~35/33)		\| 35/33
	\| [[Gariwizmic]]		\| [[Gariwizmic]]
	\|-		\|-
Line 482:		Line 488:
	\| 8/7		\| 8/7
	\| [[Orga]]		\| [[Orga]]
	\|-
	~~\| 2~~
	~~\| 131\270<br>(4\270)~~
	~~\| 582.{{overline\|2}}<br>(17.{{overline\|7}})~~
	~~\| 7/5<br>(99/98)~~
	~~\| [[Quarvish]]~~
	\|-		\|-
	\| 3		\| 3
Line 502:		Line 502:
	\|-		\|-
	\| 5		\| 5
	\| ~~83\270<br>(~~25\270)		\| 25\270
	\| ~~368.{{overline\|8}}<br>(~~111.{{overline\|1}})		\| 111.{{overline\|1}}
	\| ~~1024/891<br>(~~16/15)		\| 16/15
	\| [[Quintosec]]		\| [[Quintosec]]
	\|-		\|-
	\| 6		\| 6
	\| ~~112~~\270~~<br>(4\270)~~		\| 16\270
	\| ~~497~~.{{overline\|7}}~~<br>(~~97.{{overline\|7}})		\| 71.{{overline\|1}}
	\| ~~4/3<br>(~~128/121)		\| 25/24
			\| [[Trivish]]
			\|-
			\| 6
			\| 22\270
			\| 97.{{overline\|7}}
			\| 128/121
	\| [[Sextile]]		\| [[Sextile]]
	\|-		\|-
	\| 9		\| 9
	\| ~~71\270<br>(~~11\270)		\| 11\270
	\| ~~315.{{overline\|5}}<br>(~~48.{{overline\|8}})		\| 48.{{overline\|8}}
	\| ~~6/5<br>(~~36/35)		\| 36/35
	\| [[Ennealimmal]] / enneabiotic / ennealympic		\| [[Ennealimmal]] / enneabiotic / ennealympic
	\|-		\|-
	\| 10		\| 10
	\| 16\270~~<br>(11\270)~~		\| 2\270
	\| ~~71.{{overline\|1}}<br>(48~~.{{overline\|8}})		\| 8.{{overline\|8}}
	\| ~~25/24<br>(36~~/~~35)~~		\| 176/175
	\| [[~~Decavish~~]]		\| [[Decoid]]
	\|-		\|-
	\| 10		\| 10
	\| 56\270~~<br>(2\270)~~		\| 10\270
	\| ~~248.{{overline\|8}}<br>(8~~.{{overline\|8}})		\| 44.{{overline\|4}}
	\| ~~15/13<br>(176~~/~~175)~~		\| 40/39
	\| [[~~Decoid~~]]		\| [[Deca]]
	\|-		\|-
	\| 10		\| 10
	\| 71\270~~<br>(10\270)~~		\| 11\270
	\| ~~315.{{overline\|5}}<br>(44~~.{{overline\|4}})		\| 48.{{overline\|8}}
	\| ~~6/5<br>(40~~/~~39)~~		\| 36/35
	\| [[~~Deca~~]]		\| [[Decavish]]
	\|-		\|-
	\| 18		\| 18
	\| 71\270~~<br>(4\270)~~		\| 2\270
	\| ~~248~~.{{overline\|8}}~~<br>(17.{{overline\|7}})~~		\| 8.{{overline\|8}}
	\| ~~15/13<br>(99~~/~~98)~~		\| 1287/1280
	\| [[~~Hemiennealimmal~~]]		\| [[Semihemiennealimmal]]
	\|-		\|-
	\| 18		\| 18
	\| 71\270~~<br>(2\270)~~		\| 4\270
	\| ~~475.{{overline\|5}}<br>(8~~.{{overline\|8}})		\| 17.{{overline\|7}}
	\| ~~1053/800<br>(1287~~/~~1280)~~		\| 99/98
	\| [[~~Semihemiennealimmal~~]]		\| [[Hemiennealimmal]]
	\|-		\|-
	\| 27		\| 27
	\| ~~61\270<br>(~~1\270)		\| 1\270
	\| ~~271.{{overline\|1}}<br>(~~4.{{overline\|4}})		\| 4.{{overline\|4}}
	\| ~~1375/1176<br>(~~385/384)		\| 385/384
	\| [[Trinealimmal]]		\| [[Trinealimmal]]
	\|-		\|-
	\| 30		\| 30
	\| ~~82\270<br>(~~1\270)		\| 1\270
	~~\| 364.{{overline~~\|~~4}}<br>(~~4.{{overline\|4}})		\| 4.{{overline\|4}}
	\| ~~216/175<br>(~~385/384)		\| 385/384
	\| [[Zinc]]		\| [[Zinc]]
	\|-		\|-
	\| 45		\| 45
	\| ~~59\270<br>(~~1\270)		\| 1\270
	\| ~~262.{{overline\|2}}<br>(~~4.{{overline\|4}})		\| 4.{{overline\|4}}
	\| ~~64/55<br>(~~385/384)		\| 385/384
	\| [[Rhodium]]		\| [[Rhodium]]
	\|}		\|}
	<nowiki/>* ~~[[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and~~ [[normal forms #Minimal-generator form\|minimal form]] ~~in parentheses if distinct~~		<nowiki/>* In [[normal forms #Minimal-generator form\|minimal-generator form]]

	== Scales ==		== Scales ==

Dave Keenan: /* Sagittal notation */

2026-06-02T03:12:02Z

Sagittal notation

← Older revision		Revision as of 03:12, 2 June 2026
Line 118:		Line 118:
	\|<big>{{Sagittal\|/\|\|\}}</big>		\|<big>{{Sagittal\|/\|\|\}}</big>
	\|}		\|}
	Note that the Revo notation has matching flag sequences between the double shaft symbols and a subsequence of the single-shaft symbols.		Note that the Revo notation has matching flag sequences between the double-shaft symbols and a subsequence of the single-shaft symbols.

	<span data-darkreader-inline-color="">Alternate spellings in the Promethean set (comma tempered out):</span>		<span data-darkreader-inline-color="">Alternate spellings in the Promethean set (comma tempered out):</span>

Dave Keenan: /* Sagittal notation */ Corrected some Revo symbols and added note about matching flag sequences.

2026-06-02T02:59:07Z

Sagittal notation: Corrected some Revo symbols and added note about matching flag sequences.

← Older revision		Revision as of 02:59, 2 June 2026
Line 112:		Line 112:
	\|<big>{{Sagittal\|\|\|)}}</big>		\|<big>{{Sagittal\|\|\|)}}</big>
	\|<big>{{Sagittal\|\|\|\}}</big>		\|<big>{{Sagittal\|\|\|\}}</big>
			\|<big>{{sagittal\|~\|\|)}}</big>
	\|<big>{{sagittal\|(\|\|(}}</big>		\|<big>{{sagittal\|(\|\|(}}</big>
	~~\|<big>{{sagittal\|~\|\|\}}</big>~~
	\|<big>{{sagittal\|//\|\|}}</big>		\|<big>{{sagittal\|//\|\|}}</big>
	\|<big>{{sagittal\|/\|\|)}}</big>		\|<big>{{sagittal\|/\|\|)}}</big>
	\|<big>{{Sagittal\|/\|\|\}}</big>		\|<big>{{Sagittal\|/\|\|\}}</big>
	\|}		\|}
			Note that the Revo notation has matching flag sequences between the double shaft symbols and a subsequence of the single-shaft symbols.

	<span data-darkreader-inline-color="">Alternate spellings in the Promethean set (comma tempered out):</span>		<span data-darkreader-inline-color="">Alternate spellings in the Promethean set (comma tempered out):</span>

Dave Keenan: /* Sagittal notation */

2026-06-02T02:45:18Z

Sagittal notation

← Older revision		Revision as of 02:45, 2 June 2026
Line 41:		Line 41:

	=== Sagittal notation ===		=== Sagittal notation ===
	<span data-darkreader-inline-color="">The</span> [[Sagittal notation]] <span data-darkreader-inline-color="">for 270edo uses symbols from the Promethean set. Since the apotome can be split in two, the Stein-Zimmermann half-sharp and a half-flat may be used.</span>		<span data-darkreader-inline-color="">The</span> [[Sagittal notation]] <span data-darkreader-inline-color="">for 270edo uses symbols from the Promethean set. Since the apotome can be split in two, the Stein-Zimmermann half-sharp and half-flat may be used.</span>
	{\| class="wikitable center-all" data-darkreader-inline-color=""		{\| class="wikitable center-all" data-darkreader-inline-color=""
	! colspan="2" \|+ edosteps		! colspan="2" \|+ edosteps

Dave Keenan: /* Sagittal notation */ Corrected the table to agree with George Secor's notation as given in the Sagittal Forum.

2026-06-02T02:42:56Z

Sagittal notation: Corrected the table to agree with George Secor's notation as given in the Sagittal Forum.

← Older revision		Revision as of 02:42, 2 June 2026
Line 41:		Line 41:

	=== Sagittal notation ===		=== Sagittal notation ===
	<span data-darkreader-inline-color="">The</span> [[Sagittal notation]] <span data-darkreader-inline-color="">for 270edo uses ~~alterations of~~ the ~~Promethian~~ set. Since the apotome can be split in two, ~~a SZ~~ half-sharp and a half-flat may be used.</span>		<span data-darkreader-inline-color="">The</span> [[Sagittal notation]] <span data-darkreader-inline-color="">for 270edo uses symbols from the Promethean set. Since the apotome can be split in two, the Stein-Zimmermann half-sharp and a half-flat may be used.</span>
	{\| class="wikitable center-all" data-darkreader-inline-color=""		{\| class="wikitable center-all" data-darkreader-inline-color=""
	! colspan="2" \|+ edosteps		! colspan="2" \|+ edosteps
Line 72:		Line 72:
	\|-		\|-
	! rowspan="3" \|Symbol		! rowspan="3" \|Symbol
	!SZ		!Evo-SZ
	\| rowspan="3" \|<big>{{sagittal\|\|(}}</big>		\| rowspan="3" \|<big>{{sagittal\|\|(}}</big>
	\| rowspan="3" \|<big>{{sagittal\|)\|(}}</big>		\| rowspan="3" \|<big>{{sagittal\|)\|(}}</big>
	~~\| rowspan="3" \|<big>{{sagittal\|)~\|}}</big>~~
	\| rowspan="3" \|<big>{{Sagittal\|~\|(}}</big>		\| rowspan="3" \|<big>{{Sagittal\|~\|(}}</big>
			\| rowspan="3" \|<big>{{Sagittal\|~~\|}}</big>
	\| rowspan="3" \|<big>{{Sagittal\|/\|}}</big>		\| rowspan="3" \|<big>{{Sagittal\|/\|}}</big>
	\| rowspan="3" \|<big>{{Sagittal\|\|)}}</big>		\| rowspan="3" \|<big>{{Sagittal\|\|)}}</big>
	\| rowspan="3" \|<big>{{sagittal\|\|\}}</big>		\| rowspan="3" \|<big>{{sagittal\|\|\}}</big>
	\| rowspan="3" \|<big>{{sagittal\|(\|}}</big>		\| rowspan="3" \|<big>{{sagittal\|~\|)}}</big>
	\| rowspan="3" \|<big>{{sagittal\|(\|(}}</big>		\| rowspan="3" \|<big>{{sagittal\|(\|(}}</big>
	\| rowspan="3" \|<big>{{sagittal\|//\|}}</big>		\| rowspan="3" \|<big>{{sagittal\|//\|}}</big>
Line 86:		Line 86:
	\| rowspan="3" \|<big>{{Sagittal\|/\|\}}</big>		\| rowspan="3" \|<big>{{Sagittal\|/\|\}}</big>
	\|<big>{{Sagittal\|t}}</big>		\|<big>{{Sagittal\|t}}</big>
	\|~~<small>~~{{Sagittal\|\|(}}{{sagittal\|t}}~~</small>~~		\|{{Sagittal\|\|(}}{{sagittal\|t}}
	\|~~<small>~~{{Sagittal\|)\|(}}{{sagittal\|t}}~~</small>~~		\|{{Sagittal\|)\|(}}{{sagittal\|t}}
	\|~~<small>~~{{~~Sagittal\|)~~~\|}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|\\!}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal\|~~~\|(}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|(!(}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal\|/~~\|}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|~!)}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal~~\|\|)}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|!/}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal~~\|\|\}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|!)}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal\|(~~\|}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|\!}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal~~\|~~(\|(~~}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|~~!}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal\|//~~\|}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|~!(}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal\|/~~\|)}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|)!(}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal~~\|~~/\|\~~}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|!(}}{{sagittal\|#}}
	\| rowspan="2" \|<big>{{Sagittal\|#}}</big>		\| rowspan="2" \|<big>{{Sagittal\|#}}</big>
	\|-		\|-
	!Evo		!Evo
	\| rowspan="2" \|<big>{{sagittal\|)/\|\}}</big>		\| rowspan="2" \|<big>{{sagittal\|)/\|\}}</big>
	\|~~<small>{{sagittal\|\!/}}{{sagittal\|#}}</small>~~		\| rowspan="2" \|<big>{{Sagittal\|(\|)}}</big>
	~~\|<small>{{sagittal\|\!)}}{{sagittal\|#}}</small>~~		\| rowspan="2" \|<big>{{sagittal\|(\|\}}</big>
	~~\|<small>{{sagittal\|\\!}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal\|(!(}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal\|(!}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal\|!/}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal\|!)}}{{sagittal\|#}}</small>~~
	\|<~~small~~>{{~~sagittal~~\|~~\!}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal\|~!~~(~~}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal~~\|)~~~!}}{{sagittal\|#~~}}</~~small~~>
	\|~~<small>{{sagittal\|)!(}}{{sagittal~~\|~~#}}~~<~~/small>~~
	~~\|<small~~>{{sagittal\|!(~~}}{{sagittal~~\|#}}</~~small~~>
	\|-		\|-
	!Revo		!Revo
	~~\|<big>{{Sagittal\|(\|)}}</big>~~
	~~\|<big>{{sagittal\|(\|\}}</big>~~
	\|<big>{{sagittal\|)\|\|(}}</big>		\|<big>{{sagittal\|)\|\|(}}</big>
	\|<big>{{sagittal\|~\|\|(}}</big>		\|<big>{{sagittal\|~\|\|(}}</big>

FloraC: /* Regular temperament properties */ update

2026-05-19T09:45:00Z

Regular temperament properties: update

← Older revision		Revision as of 09:45, 19 May 2026
Line 527:		Line 527:
	\| 315.{{overline\|5}}<br>(48.{{overline\|8}})		\| 315.{{overline\|5}}<br>(48.{{overline\|8}})
	\| 6/5<br>(36/35)		\| 6/5<br>(36/35)
	\| [[Ennealimmal]] / ~~ennealimmia~~		\| [[Ennealimmal]] / enneabiotic / ennealympic
	\|-		\|-
	\| 10		\| 10

← Older revision		Revision as of 02:59, 2 June 2026
Line 112:		Line 112:
	\|<big>{{Sagittal\|\|\|)}}</big>		\|<big>{{Sagittal\|\|\|)}}</big>
	\|<big>{{Sagittal\|\|\|\}}</big>		\|<big>{{Sagittal\|\|\|\}}</big>
			\|<big>{{sagittal\|~\|\|)}}</big>
	\|<big>{{sagittal\|(\|\|(}}</big>		\|<big>{{sagittal\|(\|\|(}}</big>
	~~\|<big>{{sagittal\|~\|\|\}}</big>~~
	\|<big>{{sagittal\|//\|\|}}</big>		\|<big>{{sagittal\|//\|\|}}</big>
	\|<big>{{sagittal\|/\|\|)}}</big>		\|<big>{{sagittal\|/\|\|)}}</big>
	\|<big>{{Sagittal\|/\|\|\}}</big>		\|<big>{{Sagittal\|/\|\|\}}</big>
	\|}		\|}
			Note that the Revo notation has matching flag sequences between the double shaft symbols and a subsequence of the single-shaft symbols.

	<span data-darkreader-inline-color="">Alternate spellings in the Promethean set (comma tempered out):</span>		<span data-darkreader-inline-color="">Alternate spellings in the Promethean set (comma tempered out):</span>

← Older revision		Revision as of 02:42, 2 June 2026
Line 41:		Line 41:

	=== Sagittal notation ===		=== Sagittal notation ===
	<span data-darkreader-inline-color="">The</span> [[Sagittal notation]] <span data-darkreader-inline-color="">for 270edo uses ~~alterations of~~ the ~~Promethian~~ set. Since the apotome can be split in two, ~~a SZ~~ half-sharp and a half-flat may be used.</span>		<span data-darkreader-inline-color="">The</span> [[Sagittal notation]] <span data-darkreader-inline-color="">for 270edo uses symbols from the Promethean set. Since the apotome can be split in two, the Stein-Zimmermann half-sharp and a half-flat may be used.</span>
	{\| class="wikitable center-all" data-darkreader-inline-color=""		{\| class="wikitable center-all" data-darkreader-inline-color=""
	! colspan="2" \|+ edosteps		! colspan="2" \|+ edosteps
Line 72:		Line 72:
	\|-		\|-
	! rowspan="3" \|Symbol		! rowspan="3" \|Symbol
	!SZ		!Evo-SZ
	\| rowspan="3" \|<big>{{sagittal\|\|(}}</big>		\| rowspan="3" \|<big>{{sagittal\|\|(}}</big>
	\| rowspan="3" \|<big>{{sagittal\|)\|(}}</big>		\| rowspan="3" \|<big>{{sagittal\|)\|(}}</big>
	~~\| rowspan="3" \|<big>{{sagittal\|)~\|}}</big>~~
	\| rowspan="3" \|<big>{{Sagittal\|~\|(}}</big>		\| rowspan="3" \|<big>{{Sagittal\|~\|(}}</big>
			\| rowspan="3" \|<big>{{Sagittal\|~~\|}}</big>
	\| rowspan="3" \|<big>{{Sagittal\|/\|}}</big>		\| rowspan="3" \|<big>{{Sagittal\|/\|}}</big>
	\| rowspan="3" \|<big>{{Sagittal\|\|)}}</big>		\| rowspan="3" \|<big>{{Sagittal\|\|)}}</big>
	\| rowspan="3" \|<big>{{sagittal\|\|\}}</big>		\| rowspan="3" \|<big>{{sagittal\|\|\}}</big>
	\| rowspan="3" \|<big>{{sagittal\|(\|}}</big>		\| rowspan="3" \|<big>{{sagittal\|~\|)}}</big>
	\| rowspan="3" \|<big>{{sagittal\|(\|(}}</big>		\| rowspan="3" \|<big>{{sagittal\|(\|(}}</big>
	\| rowspan="3" \|<big>{{sagittal\|//\|}}</big>		\| rowspan="3" \|<big>{{sagittal\|//\|}}</big>
Line 86:		Line 86:
	\| rowspan="3" \|<big>{{Sagittal\|/\|\}}</big>		\| rowspan="3" \|<big>{{Sagittal\|/\|\}}</big>
	\|<big>{{Sagittal\|t}}</big>		\|<big>{{Sagittal\|t}}</big>
	\|~~<small>~~{{Sagittal\|\|(}}{{sagittal\|t}}~~</small>~~		\|{{Sagittal\|\|(}}{{sagittal\|t}}
	\|~~<small>~~{{Sagittal\|)\|(}}{{sagittal\|t}}~~</small>~~		\|{{Sagittal\|)\|(}}{{sagittal\|t}}
	\|~~<small>~~{{~~Sagittal\|)~~~\|}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|\\!}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal\|~~~\|(}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|(!(}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal\|/~~\|}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|~!)}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal~~\|\|)}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|!/}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal~~\|\|\}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|!)}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal\|(~~\|}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|\!}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal~~\|~~(\|(~~}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|~~!}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal\|//~~\|}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|~!(}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal\|/~~\|)}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|)!(}}{{sagittal\|#}}
	\|~~<small>~~{{~~Sagittal~~\|~~/\|\~~}}{{sagittal\|t}}~~</small>~~		\| rowspan="2" \|{{sagittal\|!(}}{{sagittal\|#}}
	\| rowspan="2" \|<big>{{Sagittal\|#}}</big>		\| rowspan="2" \|<big>{{Sagittal\|#}}</big>
	\|-		\|-
	!Evo		!Evo
	\| rowspan="2" \|<big>{{sagittal\|)/\|\}}</big>		\| rowspan="2" \|<big>{{sagittal\|)/\|\}}</big>
	\|~~<small>{{sagittal\|\!/}}{{sagittal\|#}}</small>~~		\| rowspan="2" \|<big>{{Sagittal\|(\|)}}</big>
	~~\|<small>{{sagittal\|\!)}}{{sagittal\|#}}</small>~~		\| rowspan="2" \|<big>{{sagittal\|(\|\}}</big>
	~~\|<small>{{sagittal\|\\!}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal\|(!(}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal\|(!}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal\|!/}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal\|!)}}{{sagittal\|#}}</small>~~
	\|<~~small~~>{{~~sagittal~~\|~~\!}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal\|~!~~(~~}}{{sagittal\|#}}</small>~~
	~~\|<small>{{sagittal~~\|)~~~!}}{{sagittal\|#~~}}</~~small~~>
	\|~~<small>{{sagittal\|)!(}}{{sagittal~~\|~~#}}~~<~~/small>~~
	~~\|<small~~>{{sagittal\|!(~~}}{{sagittal~~\|#}}</~~small~~>
	\|-		\|-
	!Revo		!Revo
	~~\|<big>{{Sagittal\|(\|)}}</big>~~
	~~\|<big>{{sagittal\|(\|\}}</big>~~
	\|<big>{{sagittal\|)\|\|(}}</big>		\|<big>{{sagittal\|)\|\|(}}</big>
	\|<big>{{sagittal\|~\|\|(}}</big>		\|<big>{{sagittal\|~\|\|(}}</big>