Oneirotonic - Revision history

Overthink: /* Fifth-bounded triads */ line breaks and en dashes

2026-04-06T20:29:54Z

Fifth-bounded triads: line breaks and en dashes

← Older revision		Revision as of 20:29, 6 April 2026
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	!\|Supertaphric (<code>suptph</code>)		!\|Supertaphric (<code>suptph</code>)
	\|\|		\|\|
	\|\|~~0-m4d-P5d~~		\|\|0–m4d–P5d
	\|\|~~0-554-738~~		\|\|0–554–738
	\|\|~~0-533-733~~		\|\|0–533–733
	\|-		\|-
	!\|Taphric (<code>tph</code>)		!\|Taphric (<code>tph</code>)
	\|\|From τάφρος "trench", because the fifth generators go ~~down-up~~.		\|\|From τάφρος "trench", because<br>the fifth generators go down–up.
	\|\|~~0-P3d-P5d~~		\|\|0–P3d–P5d
	\|\|~~0-462-738~~		\|\|0–462–738
	\|\|~~0-467-733~~		\|\|0–467–733
	\|-		\|-
	!\|Subtaphric (<code>subtph</code>)		!\|Subtaphric (<code>subtph</code>)
	\|\|		\|\|
	\|\|~~0-M2d-P5d~~		\|\|0–M2d–P5d
	\|\|~~0-369-738~~		\|\|0–369–738
	\|\|~~0-400-733~~		\|\|0–400–733
	\|-		\|-
	!\|Neutral (<code>neu</code>)		!\|Neutral (<code>neu</code>)
	\|\|Splits the sharp fifth in half.		\|\|Splits the sharp fifth in half.
	\|\|		\|\|
	\|\|~~0-369-738~~		\|\|0–369–738
	\|\|		\|\|
	\|-		\|-
	!\|Suprasimic (<code>supsim</code>)		!\|Suprasimic (<code>supsim</code>)
	\|\|		\|\|
	\|\|~~0-d3d-P5d~~		\|\|0–d3d–P5d
	\|\|~~0-369-738~~		\|\|0–369–738
	\|\|~~0-333-733~~		\|\|0–333–733
	\|-		\|-
	!\|Simic (<code>sim</code>)		!\|Simic (<code>sim</code>)
	\|\|From Modern Greek σημείο "point", because the fifth generators go ~~up-down~~.		\|\|From Modern Greek σημείο "point", because<br>the fifth generators go up–down.
	\|\|~~0-m2d-P5d~~		\|\|0–m2d–P5d
	\|\|~~0-277-738~~		\|\|0–277–738
	\|\|~~0-267-733~~		\|\|0–267–733
	\|-		\|-
	!\|Subsimic (<code>subsim</code>)		!\|Subsimic (<code>subsim</code>)
	\|\|		\|\|
	\|\|~~0-M1d-P5d~~		\|\|0–M1d–P5d
	\|\|~~0-185-738~~		\|\|0–185–738
	\|\|~~0-200-733~~		\|\|0–200–733
	\|}		\|}

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	!\|Tract-sus4 (<code>>sus4<</code>)		!\|Tract-sus4 (<code>>sus4<</code>)
	\|\|		\|\|
	\|\|~~0-P3d-M4d~~		\|\|0–P3d–M4d
	\|\|~~0-462-646~~		\|\|0–462–646
	\|\|~~0-467-667~~		\|\|0–467–667
	\|-		\|-
	!\|Tract-major (<code>>maj<</code>)		!\|Tract-major (<code>>maj<</code>)
	\|\|		\|\|
	\|\|~~0-M2d-M4d~~		\|\|0–M2d–M4d
	\|\|~~0-369-646~~		\|\|0–369–646
	\|\|~~0-400-667~~		\|\|0–400–667
	\|-		\|-
	!\|Tract-neutral (<code>>neu<</code>)		!\|Tract-neutral (<code>>neu<</code>)
	\|\|Splits the flat fifth in half.		\|\|Splits the flat fifth in half.
	\|\|~~0-n2d-M4d~~		\|\|0–n2d–M4d
	\|\|		\|\|
	\|\|~~0-333-667~~		\|\|0–333–667
	\|-		\|-
	!\|Tract-minor (<code>>min<</code>)		!\|Tract-minor (<code>>min<</code>)
	\|\|		\|\|
	\|\|~~0-m2d-M4d~~		\|\|0–m2d–M4d
	\|\|~~0-277-646~~		\|\|0–277–646
	\|\|~~0-267-667~~		\|\|0–267–667
	\|-		\|-
	!\|Tract-sus2 (<code>>sus2<</code>)		!\|Tract-sus2 (<code>>sus2<</code>)
	\|\|		\|\|
	\|\|~~0-M1d-M4d~~		\|\|0–M1d–M4d
	\|\|~~0-185-646~~		\|\|0–185–646
	\|\|~~0-200-667~~		\|\|0–200–667
	\|}		\|}

Inthar: /* Notable tunings and tuning ranges */

2026-03-07T05:33:10Z

Notable tunings and tuning ranges

← Older revision		Revision as of 05:33, 7 March 2026
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	* 18edo (hardness 3/1): Minor 2-step is an excellent 7/6; 12edo whole tone. Practically optimal for 2.9.21 [[A-Team]].		* 18edo (hardness 3/1): Minor 2-step is an excellent 7/6; 12edo whole tone. Practically optimal for 2.9.21 [[A-Team]].
	* 23edo (hardness 4/1): Supports [[A-Team]] with diminished 3-step = ~6/5.		* 23edo (hardness 4/1): Supports [[A-Team]] with diminished 3-step = ~6/5.
	* 28edo (hardness 5/1) and harder support 2.3.7 Buzzard which equates four perfect 3-oneirosteps with a 3/1.		* 28edo (hardness 5/1) and harder support 2.3.7 [[Buzzard]] which equates four perfect 3-oneirosteps with a 3/1.

	== Chords of oneirotonic ==		== Chords of oneirotonic ==

Inthar: /* Modes of melodic Mnarian */

2026-03-07T05:32:06Z

Modes of melodic Mnarian

← Older revision		Revision as of 05:32, 7 March 2026
Line 90:		Line 90:

	=== Modes of melodic Mnarian ===		=== Modes of melodic Mnarian ===
	The ''melodic Mnarian'' (LsLsLLLs ascending, LsLsLsLL descending) scale has an "LLL" and recreates ~~that~~ characteristic of diatonic. It's the unique binary MODMOS of oneirotonic that doesn't have consecutive s steps. The mode names of melodic Mnarian are portmanteaus of the oneirotonic mode and the diatonic mode the mode sounds most similar to.		The ''melodic Mnarian'' (LsLsLLLs ascending, LsLsLsLL descending) scale has an "LLL" and recreates the characteristic of diatonic modes such as Phrygian and Locrian which have LLL prominently. It's the unique binary MODMOS of oneirotonic that doesn't have consecutive s steps. The mode names of melodic Mnarian are portmanteaus of the oneirotonic mode and the diatonic mode the mode sounds most similar to.
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-

Inthar: /* Notable tunings and tuning ranges */

2026-03-06T04:35:45Z

Notable tunings and tuning ranges

← Older revision		Revision as of 04:35, 6 March 2026
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	* 13edo (hardness 2/1)		* 13edo (hardness 2/1)
	* 31edo (hardness 5/2): [[A-Team]] tuning with an excellent 5/4. Approximates 13:17:19.		* 31edo (hardness 5/2): [[A-Team]] tuning with an excellent 5/4. Approximates 13:17:19.
	* 18edo (hardness 3/1): Minor 2-step is an excellent 7/6; 12edo whole tone. ~~Good tuning~~ for 2.9.21 [[A-Team]].		* 18edo (hardness 3/1): Minor 2-step is an excellent 7/6; 12edo whole tone. Practically optimal for 2.9.21 [[A-Team]].
	* 23edo (hardness 4/1): Supports [[A-Team]] with diminished 3-step = ~6/5.		* 23edo (hardness 4/1): Supports [[A-Team]] with diminished 3-step = ~6/5.
	* 28edo (hardness 5/1) and harder support 2.3.7 Buzzard which equates four perfect 3-oneirosteps with a 3/1.		* 28edo (hardness 5/1) and harder support 2.3.7 Buzzard which equates four perfect 3-oneirosteps with a 3/1.

Inthar: /* Notable tunings and tuning ranges */

2026-03-06T04:35:22Z

Notable tunings and tuning ranges

← Older revision		Revision as of 04:35, 6 March 2026
Line 170:		Line 170:

	== Notable tunings and tuning ranges ==		== Notable tunings and tuning ranges ==
	* 37edo (hardness 5/4) to 29edo (hardness 4/3): support the 2.7/5.11/5.13/5 temperament ~~Tridec/~~Ammonite where the generator is 13/10, the large step is 11/10, and the minor 4-step is 7/5.		* 37edo (hardness 5/4) to 29edo (hardness 4/3): support the 2.7/5.11/5.13/5 temperament [[Ammonite]] where the generator is 13/10, the large step is 11/10, and the minor 4-step is 7/5.
	* 21edo (hardness 3/2)		* 21edo (hardness 3/2)
	* 13edo (hardness 2/1)		* 13edo (hardness 2/1)
	* 18edo (hardness 3/1): Minor 2-step is an excellent 7/6; 12edo whole tone.		* 31edo (hardness 5/2): [[A-Team]] tuning with an excellent 5/4. Approximates 13:17:19.
	* 23edo (hardness 4/1)		* 18edo (hardness 3/1): Minor 2-step is an excellent 7/6; 12edo whole tone. Good tuning for 2.9.21 [[A-Team]].
			* 23edo (hardness 4/1): Supports [[A-Team]] with diminished 3-step = ~6/5.
	* 28edo (hardness 5/1) and harder support 2.3.7 Buzzard which equates four perfect 3-oneirosteps with a 3/1.		* 28edo (hardness 5/1) and harder support 2.3.7 Buzzard which equates four perfect 3-oneirosteps with a 3/1.

	== Chords of oneirotonic ==		== Chords of oneirotonic ==
	{{proposed}}		{{proposed}}

Inthar: /* Fifth-bounded triads */

2026-02-18T10:47:17Z

Fifth-bounded triads

← Older revision		Revision as of 10:47, 18 February 2026
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	First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the tract-major triad.		First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the tract-major triad.
	~~The word "tract" is used to denote compressions of diatonic chords.~~
	{\| class="wikitable"		{\| class="wikitable"
	\|+ Perfect fifth (sharp fifth) bounded triads		\|+ Perfect fifth (sharp fifth) bounded triads

Inthar: /* Fifth-bounded triads */

2026-02-18T10:41:20Z

Fifth-bounded triads

← Older revision		Revision as of 10:41, 18 February 2026
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	The names have been selected to avoid overloading diatonic chord names and symbols.		The names have been selected to avoid overloading diatonic chord names and symbols.
	=== Fifth-bounded triads ===		=== Fifth-bounded triads ===
	The ~~word~~ "tract" is used to denote compressions of diatonic chords, and symbolically, <code>>...<</code> is used to denote tract-diatonic chords.		The prefix "tract" is used to denote compressions of diatonic chords, and symbolically, <code>>...<</code> is used to denote tract-diatonic chords.

	First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the tract-major triad.		First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the tract-major triad.

Inthar: /* Fifth-bounded triads */

2026-02-14T10:34:38Z

Fifth-bounded triads

← Older revision		Revision as of 10:34, 14 February 2026
Line 181:		Line 181:
	The names have been selected to avoid overloading diatonic chord names and symbols.		The names have been selected to avoid overloading diatonic chord names and symbols.
	=== Fifth-bounded triads ===		=== Fifth-bounded triads ===
	The word "tract" is used to denote compressions of diatonic chords.		The word "tract" is used to denote compressions of diatonic chords, and symbolically, <code>>...<</code> is used to denote tract-diatonic chords.

	First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the tract-major triad.		First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the tract-major triad.

Inthar: /* Fifth-bounded triads */

2026-02-14T10:19:36Z

Fifth-bounded triads

← Older revision		Revision as of 10:19, 14 February 2026
Line 183:		Line 183:
	The word "tract" is used to denote compressions of diatonic chords.		The word "tract" is used to denote compressions of diatonic chords.

	First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the ~~compressed~~ major triad.		First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the tract-major triad.
	The word "tract" is used to denote compressions of diatonic chords.		The word "tract" is used to denote compressions of diatonic chords.
	{\| class="wikitable"		{\| class="wikitable"

Inthar: /* Fifth-bounded triads */

2026-02-14T10:19:06Z

Fifth-bounded triads

← Older revision		Revision as of 10:19, 14 February 2026
Line 181:		Line 181:
	The names have been selected to avoid overloading diatonic chord names and symbols.		The names have been selected to avoid overloading diatonic chord names and symbols.
	=== Fifth-bounded triads ===		=== Fifth-bounded triads ===
	First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code>, for example <code>>maj<₁</code> = the first inversion of the compressed major triad.		The word "tract" is used to denote compressions of diatonic chords.

			First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the compressed major triad.
			The word "tract" is used to denote compressions of diatonic chords.
	{\| class="wikitable"		{\| class="wikitable"
	\|+ Perfect fifth (sharp fifth) bounded triads		\|+ Perfect fifth (sharp fifth) bounded triads
Line 243:		Line 246:
	!\|18edo tuning		!\|18edo tuning
	\|-		\|-
	!\|~~Sus4 compressed~~ (<code>>sus4<</code>)		!\|Tract-sus4 (<code>>sus4<</code>)
	\|\|		\|\|
	\|\|0-P3d-M4d		\|\|0-P3d-M4d
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	\|\|0-467-667		\|\|0-467-667
	\|-		\|-
	!\|~~Major compressed~~ (<code>>maj<</code>)		!\|Tract-major (<code>>maj<</code>)
	\|\|		\|\|
	\|\|0-M2d-M4d		\|\|0-M2d-M4d
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	\|\|0-400-667		\|\|0-400-667
	\|-		\|-
	!\|~~Neutral compressed~~ (<code>>neu<</code>)		!\|Tract-neutral (<code>>neu<</code>)
	\|\|Splits the flat fifth in half.		\|\|Splits the flat fifth in half.
	\|\|0-n2d-M4d		\|\|0-n2d-M4d
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	\|\|0-333-667		\|\|0-333-667
	\|-		\|-
	!\|~~Minor compressed~~ (<code>>min<</code>)		!\|Tract-minor (<code>>min<</code>)
	\|\|		\|\|
	\|\|0-m2d-M4d		\|\|0-m2d-M4d
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	\|\|0-267-667		\|\|0-267-667
	\|-		\|-
	!\|~~Sus2 compressed~~ (<code>>sus2<</code>)		!\|Tract-sus2 (<code>>sus2<</code>)
	\|\|		\|\|
	\|\|0-M1d-M4d		\|\|0-M1d-M4d

← Older revision		Revision as of 20:29, 6 April 2026
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	!\|Supertaphric (<code>suptph</code>)		!\|Supertaphric (<code>suptph</code>)
	\|\|		\|\|
	\|\|~~0-m4d-P5d~~		\|\|0–m4d–P5d
	\|\|~~0-554-738~~		\|\|0–554–738
	\|\|~~0-533-733~~		\|\|0–533–733
	\|-		\|-
	!\|Taphric (<code>tph</code>)		!\|Taphric (<code>tph</code>)
	\|\|From τάφρος "trench", because the fifth generators go ~~down-up~~.		\|\|From τάφρος "trench", because<br>the fifth generators go down–up.
	\|\|~~0-P3d-P5d~~		\|\|0–P3d–P5d
	\|\|~~0-462-738~~		\|\|0–462–738
	\|\|~~0-467-733~~		\|\|0–467–733
	\|-		\|-
	!\|Subtaphric (<code>subtph</code>)		!\|Subtaphric (<code>subtph</code>)
	\|\|		\|\|
	\|\|~~0-M2d-P5d~~		\|\|0–M2d–P5d
	\|\|~~0-369-738~~		\|\|0–369–738
	\|\|~~0-400-733~~		\|\|0–400–733
	\|-		\|-
	!\|Neutral (<code>neu</code>)		!\|Neutral (<code>neu</code>)
	\|\|Splits the sharp fifth in half.		\|\|Splits the sharp fifth in half.
	\|\|		\|\|
	\|\|~~0-369-738~~		\|\|0–369–738
	\|\|		\|\|
	\|-		\|-
	!\|Suprasimic (<code>supsim</code>)		!\|Suprasimic (<code>supsim</code>)
	\|\|		\|\|
	\|\|~~0-d3d-P5d~~		\|\|0–d3d–P5d
	\|\|~~0-369-738~~		\|\|0–369–738
	\|\|~~0-333-733~~		\|\|0–333–733
	\|-		\|-
	!\|Simic (<code>sim</code>)		!\|Simic (<code>sim</code>)
	\|\|From Modern Greek σημείο "point", because the fifth generators go ~~up-down~~.		\|\|From Modern Greek σημείο "point", because<br>the fifth generators go up–down.
	\|\|~~0-m2d-P5d~~		\|\|0–m2d–P5d
	\|\|~~0-277-738~~		\|\|0–277–738
	\|\|~~0-267-733~~		\|\|0–267–733
	\|-		\|-
	!\|Subsimic (<code>subsim</code>)		!\|Subsimic (<code>subsim</code>)
	\|\|		\|\|
	\|\|~~0-M1d-P5d~~		\|\|0–M1d–P5d
	\|\|~~0-185-738~~		\|\|0–185–738
	\|\|~~0-200-733~~		\|\|0–200–733
	\|}		\|}

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	!\|Tract-sus4 (<code>>sus4<</code>)		!\|Tract-sus4 (<code>>sus4<</code>)
	\|\|		\|\|
	\|\|~~0-P3d-M4d~~		\|\|0–P3d–M4d
	\|\|~~0-462-646~~		\|\|0–462–646
	\|\|~~0-467-667~~		\|\|0–467–667
	\|-		\|-
	!\|Tract-major (<code>>maj<</code>)		!\|Tract-major (<code>>maj<</code>)
	\|\|		\|\|
	\|\|~~0-M2d-M4d~~		\|\|0–M2d–M4d
	\|\|~~0-369-646~~		\|\|0–369–646
	\|\|~~0-400-667~~		\|\|0–400–667
	\|-		\|-
	!\|Tract-neutral (<code>>neu<</code>)		!\|Tract-neutral (<code>>neu<</code>)
	\|\|Splits the flat fifth in half.		\|\|Splits the flat fifth in half.
	\|\|~~0-n2d-M4d~~		\|\|0–n2d–M4d
	\|\|		\|\|
	\|\|~~0-333-667~~		\|\|0–333–667
	\|-		\|-
	!\|Tract-minor (<code>>min<</code>)		!\|Tract-minor (<code>>min<</code>)
	\|\|		\|\|
	\|\|~~0-m2d-M4d~~		\|\|0–m2d–M4d
	\|\|~~0-277-646~~		\|\|0–277–646
	\|\|~~0-267-667~~		\|\|0–267–667
	\|-		\|-
	!\|Tract-sus2 (<code>>sus2<</code>)		!\|Tract-sus2 (<code>>sus2<</code>)
	\|\|		\|\|
	\|\|~~0-M1d-M4d~~		\|\|0–M1d–M4d
	\|\|~~0-185-646~~		\|\|0–185–646
	\|\|~~0-200-667~~		\|\|0–200–667
	\|}		\|}

← Older revision		Revision as of 10:19, 14 February 2026
Line 181:		Line 181:
	The names have been selected to avoid overloading diatonic chord names and symbols.		The names have been selected to avoid overloading diatonic chord names and symbols.
	=== Fifth-bounded triads ===		=== Fifth-bounded triads ===
	First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code>, for example <code>>maj<₁</code> = the first inversion of the compressed major triad.		The word "tract" is used to denote compressions of diatonic chords.

			First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the compressed major triad.
			The word "tract" is used to denote compressions of diatonic chords.
	{\| class="wikitable"		{\| class="wikitable"
	\|+ Perfect fifth (sharp fifth) bounded triads		\|+ Perfect fifth (sharp fifth) bounded triads
Line 243:		Line 246:
	!\|18edo tuning		!\|18edo tuning
	\|-		\|-
	!\|~~Sus4 compressed~~ (<code>>sus4<</code>)		!\|Tract-sus4 (<code>>sus4<</code>)
	\|\|		\|\|
	\|\|0-P3d-M4d		\|\|0-P3d-M4d
Line 249:		Line 252:
	\|\|0-467-667		\|\|0-467-667
	\|-		\|-
	!\|~~Major compressed~~ (<code>>maj<</code>)		!\|Tract-major (<code>>maj<</code>)
	\|\|		\|\|
	\|\|0-M2d-M4d		\|\|0-M2d-M4d
Line 255:		Line 258:
	\|\|0-400-667		\|\|0-400-667
	\|-		\|-
	!\|~~Neutral compressed~~ (<code>>neu<</code>)		!\|Tract-neutral (<code>>neu<</code>)
	\|\|Splits the flat fifth in half.		\|\|Splits the flat fifth in half.
	\|\|0-n2d-M4d		\|\|0-n2d-M4d
Line 261:		Line 264:
	\|\|0-333-667		\|\|0-333-667
	\|-		\|-
	!\|~~Minor compressed~~ (<code>>min<</code>)		!\|Tract-minor (<code>>min<</code>)
	\|\|		\|\|
	\|\|0-m2d-M4d		\|\|0-m2d-M4d
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	\|\|0-267-667		\|\|0-267-667
	\|-		\|-
	!\|~~Sus2 compressed~~ (<code>>sus2<</code>)		!\|Tract-sus2 (<code>>sus2<</code>)
	\|\|		\|\|
	\|\|0-M1d-M4d		\|\|0-M1d-M4d