EDO - Revision history

Tristanbay: /* List of edos */ 2edo has a good harmonic 11 and 23 for its size

2026-07-13T05:17:54Z

List of edos: 2edo has a good harmonic 11 and 23 for its size

← Older revision		Revision as of 05:17, 13 July 2026
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	\| rowspan="2" \|600, 1200		\| rowspan="2" \|600, 1200
	\| rowspan="2" \|600		\| rowspan="2" \|600
	\| rowspan="2" \|~~''none available in basic subgroup''~~		\| rowspan="2" \|23/16
	\|2		\|2.23
	\|-		\|-
	\|2.<3.>>5.>>7.<17		\|2.<3.>>5.>>7.>11.<17.<23
	\|-		\|-
	\| rowspan="2" \|3		\| rowspan="2" \|3

Inthar at 15:03, 6 June 2026

2026-06-06T15:03:06Z

← Older revision		Revision as of 15:03, 6 June 2026
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	\|-		\|-
	\|70		\|70
	\|Double 35edo, and thus contains a diatonic scale that is exactly in the middle of the diatonic tuning range. It is an [[Aberschismic]] system, as is typical with tunings with sharpened fifths.		\|Double 35edo, and thus contains a diatonic scale that is exactly in the middle of the diatonic tuning range. It is an [[Aberschismic]] system, as is typical with tunings with slightly sharpened fifths.
	\|{{First 12 edo intervals\|edo=70}}		\|{{First 12 edo intervals\|edo=70}}
	\|702.9		\|702.9

Inthar at 15:02, 6 June 2026

2026-06-06T15:02:51Z

← Older revision		Revision as of 15:02, 6 June 2026
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	\|-		\|-
	\|70		\|70
	\|Double 35edo, and thus contains a diatonic scale that is exactly in the middle of the diatonic tuning range. It is a [[Aberschismic]] system, as is typical with tunings with sharpened fifths.		\|Double 35edo, and thus contains a diatonic scale that is exactly in the middle of the diatonic tuning range. It is an [[Aberschismic]] system, as is typical with tunings with sharpened fifths.
	\|{{First 12 edo intervals\|edo=70}}		\|{{First 12 edo intervals\|edo=70}}
	\|702.9		\|702.9

Inthar: Hemifamity -> Aberschismic

2026-06-06T15:02:34Z

Hemifamity -> Aberschismic

← Older revision		Revision as of 15:02, 6 June 2026
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	\|-		\|-
	\| class="thl" \|[[41edo\|41]]		\| class="thl" \|[[41edo\|41]]
	\|The first reasonably accurate [[~~Hemifamity~~]] edo (which is also a Garibaldi edo). Used for the Kite guitar. {{Adv\|One of two viably small tunings of 11-limit [[penslen]].}}		\|The first reasonably accurate [[Aberschismic]] edo (which is also a Garibaldi edo). Used for the Kite guitar. {{Adv\|One of two viably small tunings of 11-limit [[penslen]].}}
	\|{{First 12 edo intervals\|edo=41}}		\|{{First 12 edo intervals\|edo=41}}
	\|702.4		\|702.4
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	\|-		\|-
	\| class="thl"\|46		\| class="thl"\|46
	\|The second reasonably accurate [[~~Hemifamity~~]] edo. Has a diatonic with neogothic thirds. {{Adv\|One of two viably small tunings of 11-limit [[penslen]].}}		\|The second reasonably accurate [[Aberschismic]] edo. Has a diatonic with neogothic thirds. {{Adv\|One of two viably small tunings of 11-limit [[penslen]].}}
	\|{{First 12 edo intervals\|edo=46}}		\|{{First 12 edo intervals\|edo=46}}
	\|704.3		\|704.3
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	\|-		\|-
	\|70		\|70
	\|Double 35edo, and thus contains a diatonic scale that is exactly in the middle of the diatonic tuning range. It is a [[~~Hemifamity~~]] system, as is typical with tunings with sharpened fifths.		\|Double 35edo, and thus contains a diatonic scale that is exactly in the middle of the diatonic tuning range. It is a [[Aberschismic]] system, as is typical with tunings with sharpened fifths.
	\|{{First 12 edo intervals\|edo=70}}		\|{{First 12 edo intervals\|edo=70}}
	\|702.9		\|702.9
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	\|-		\|-
	\|[[99edo\|99]]		\|[[99edo\|99]]
	\|Arguably the most accurate 7-limit edo below 100. Supports [[~~Hemifamity~~]], [[Didacus]], and [[Ennealimmal]].		\|Arguably the most accurate 7-limit edo below 100. Supports [[Aberschismic]], [[Didacus]], and [[Ennealimmal]].
	\|{{First 12 edo intervals\|edo=99}}		\|{{First 12 edo intervals\|edo=99}}
	\|703.0		\|703.0

Inthar: /* List of edos */

2026-04-08T18:34:44Z

List of edos

← Older revision		Revision as of 18:34, 8 April 2026
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	\| colspan="6" \|...		\| colspan="6" \|...
	\|-		\|-
	\|99		\|[[99edo\|99]]
	\|Arguably the most accurate 7-limit edo below 100. Supports [[Hemifamity]], [[Didacus]], and [[Ennealimmal]].		\|Arguably the most accurate 7-limit edo below 100. Supports [[Hemifamity]], [[Didacus]], and [[Ennealimmal]].
	\|{{First 12 edo intervals\|edo=99}}		\|{{First 12 edo intervals\|edo=99}}

Inthar at 18:34, 8 April 2026

2026-04-08T18:34:22Z

← Older revision		Revision as of 18:34, 8 April 2026
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	\|-		\|-
	\|99		\|99
	\|~~Perhaps~~ the ~~strongest~~ 7-limit edo below 100. Supports [[Hemifamity]], [[Didacus]], and [[Ennealimmal]].		\|Arguably the most accurate 7-limit edo below 100. Supports [[Hemifamity]], [[Didacus]], and [[Ennealimmal]].
	\|{{First 12 edo intervals\|edo=99}}		\|{{First 12 edo intervals\|edo=99}}
	\|703.0		\|703.0

Aura: Added links

2026-04-07T06:52:31Z

Added links

← Older revision		Revision as of 06:52, 7 April 2026
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	\|2.5.7.13.17.23		\|2.5.7.13.17.23
	\|-		\|-
	\|72		\|[[72edo\|72]]
	\|A multiple of 12edo and a very good Miracle and Compton system. It is also the first multiple of 12 to have a second MOS diatonic.		\|A multiple of 12edo and a very good Miracle and Compton system. It is also the first multiple of 12 to have a second MOS diatonic.
	\|{{First 12 edo intervals\|edo=72}}		\|{{First 12 edo intervals\|edo=72}}
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	\|2.5.7.11.13.17.19.23		\|2.5.7.11.13.17.19.23
	\|-		\|-
	\|94		\|[[94edo\|94]]
	\|A Garibaldi system, being 41 + 53 and thus having a close-to-just tuning of Garibaldi.		\|A Garibaldi system, being 41 + 53 and thus having a close-to-just tuning of Garibaldi.
	Its step size is near a significant value of approximately 13 cents where all intervals become approximated by the edo to within a reasonable degree of intonational error on free-pitch instruments. As such, it is the first edo whose subgroup is listed as "-" on the table.		Its step size is near a significant value of approximately 13 cents where all intervals become approximated by the edo to within a reasonable degree of intonational error on free-pitch instruments. As such, it is the first edo whose subgroup is listed as "-" on the table.

Inthar: /* List of edos */

2026-04-04T00:59:31Z

List of edos

Show changes

Inthar at 00:49, 4 April 2026

2026-04-04T00:49:48Z

← Older revision		Revision as of 00:49, 4 April 2026
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	\|-		\|-
	\| class="thl" \|[[41edo\|41]]		\| class="thl" \|[[41edo\|41]]
	\|The first reasonably accurate Hemifamity edo (which is also a Garibaldi edo). Used for the Kite guitar. {{Adv\|One of two viably small tunings of 11-limit [[penslen]].}}		\|The first reasonably accurate [[Hemifamity]] edo (which is also a Garibaldi edo). Used for the Kite guitar. {{Adv\|One of two viably small tunings of 11-limit [[penslen]].}}
	\|{{First 12 edo intervals\|edo=41}}		\|{{First 12 edo intervals\|edo=41}}
	\|702.4		\|702.4
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	\|-		\|-
	\| class="thl"\|46		\| class="thl"\|46
	\|The second reasonably accurate Hemifamity edo. Has a diatonic with neogothic thirds. {{Adv\|One of two viably small tunings of 11-limit [[penslen]].}}		\|The second reasonably accurate [[Hemifamity]] edo. Has a diatonic with neogothic thirds. {{Adv\|One of two viably small tunings of 11-limit [[penslen]].}}
	\|{{First 12 edo intervals\|edo=46}}		\|{{First 12 edo intervals\|edo=46}}
	\|704.3		\|704.3
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	\|-		\|-
	\|47		\|47
	\|The first edo with two distinct mosdiatonic scales. Supports ~~magic~~ and ~~archy~~ with its sharp fifth and ~~deeptone~~ with its flat fifth. Has a very accurate 9/8 as a straddle-3 system, which generates a sort of ~~schismic~~ analogue of ~~didacus~~.		\|The first edo with two distinct mosdiatonic scales. Supports Magic and Archy with its sharp fifth and Deeptone with its flat fifth. Has a very accurate 9/8 as a straddle-3 system, which generates a sort of Schismic analogue of Didacus.
	\|{{First 12 edo intervals\|edo=47}}		\|{{First 12 edo intervals\|edo=47}}
	\|689.4, 714.9		\|689.4, 714.9
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	\|-		\|-
	\|65		\|65
	\|A non-~~garibaldi schismic~~ system (in fact, it supports Sensi), or a straddle-7 system.		\|A non-Garibaldi Schismic system (in fact, it supports Sensi), or a straddle-7 system.
	\|{{First 12 edo intervals\|edo=65}}		\|{{First 12 edo intervals\|edo=65}}
	\|701.5		\|701.5
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	\|-		\|-
	\|99		\|99
	\|Perhaps the strongest 7-limit edo below 100. Supports [[~~Aberschismic~~]], [[Didacus]], and [[Ennealimmal]].		\|Perhaps the strongest 7-limit edo below 100. Supports [[Hemifamity]], [[Didacus]], and [[Ennealimmal]].
	\|{{First 12 edo intervals\|edo=99}}		\|{{First 12 edo intervals\|edo=99}}
	\|703.0		\|703.0

Inthar: /* List of edos */

2026-04-03T20:22:51Z

List of edos

← Older revision		Revision as of 20:22, 3 April 2026
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	\|{{First 12 edo intervals\|edo=99}}		\|{{First 12 edo intervals\|edo=99}}
	\|703.0		\|703.0
	\|~~5120~~/~~5103~~, ~~2401~~/~~2400~~, ~~4375/4374~~		\|126/125, 225/224, kleisma
	\| -		\| -
	\|-		\|-