User:Eufalesio/Good scales - Revision history

Eufalesio: More

2026-10-09T11:26:38Z

Eufalesio at 15:19, 23 August 2026

2026-08-23T15:19:59Z

← Older revision		Revision as of 15:19, 23 August 2026
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	* SV3: [[Strict variety]] 3.		* SV3: [[Strict variety]] 3.
	* HSA5: Harmonic Segments Along Fifths: Made up concept; a mix of diatonoid structures and harmonic segments, where a given ~~harmonic segment that spans a fourth~~ or ~~a fifth~~ is repeated ~~along a fifth~~ to end up at the octave.		* HSA5: Harmonic Segments Along Fifths: Made up concept; a mix of diatonoid structures and harmonic segments, where a given arithmetic division of the 4/3 or 3/2 is repeated *3/2 to end up at the octave.
	* SP: [[Strictly proper]]. Because I'm cataloging JI scales, they can only be strictly proper or not proper.		* SP: [[Strictly proper]]. Because I'm cataloging JI scales, they can only be strictly proper or not proper.
	* SYM: Symmetric. That is, not [[chiral]].		* SYM: Symmetric. That is, not [[chiral]].

Eufalesio: MORE

2026-08-22T14:59:01Z

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Eufalesio at 00:44, 22 August 2026

2026-08-22T00:44:25Z

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Eufalesio: /* The Tridecimal Skirmish [SV3, CS] */

2026-08-20T15:52:06Z

The Tridecimal Skirmish [SV3, CS]

← Older revision		Revision as of 15:52, 20 August 2026
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	=== The Tridecimal Skirmish [SV3, CS] ===		=== The Tridecimal Skirmish [SV3, CS] ===
	It's called a Skirmish because I like to arpeggiate it. Either the RH prime or the mode on 4/3 is good. I shy away from the utonal versions. It's a subset of the scale I call Ghyef~~. There is also a pyth, pental and undecimal version, but they aren't as important to me~~.		It's called a Skirmish because I like to arpeggiate it. Either the RH prime or the mode on 4/3 is good. I shy away from the utonal versions. It's a subset of the scale I call Ghyef.
	{\| class="wikitable"		{\| class="wikitable"
	! colspan="5" \|LH		! colspan="5" \|LH
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	\|-		\|-
	!13/12		!13/12
	!39/32		!4/3
	!3/2		!3/2
	!13/8		!13/8
	! rowspan="5" \|2		! rowspan="5" \|2
	!13/12		!13/12
	!4/3		!39/32
	!3/2		!3/2
	!13/8		!13/8
	! rowspan="5" \|2		! rowspan="5" \|2
	\|-		\|-
	\|<small>9/8</small>		\|<small>16/13</small>
	\|<small>18/13</small>		\|<small>18/13</small>
	\|<small>3/2</small>		\|<small>3/2</small>
	\|<small>24/13</small>		\|<small>24/13</small>
	\|<small>16/13</small>		\|<small>9/8</small>
	\|<small>18/13</small>		\|<small>18/13</small>
	\|<small>3/2</small>		\|<small>3/2</small>
	\|<small>24/13</small>		\|<small>24/13</small>
	\|-		\|-
			\|<small>9/8</small>
			\|<small>39/32</small>
			\|<small>3/2</small>
			\|<small>13/8</small>
	\|<small>16/13</small>		\|<small>16/13</small>
	\|<small>4/3</small>		\|<small>4/3</small>
	\|<small>64/39</small>		\|<small>64/39</small>
	\|<small>16/9</small>		\|<small>16/9</small>
	~~\|<small>9/8</small>~~
	~~\|<small>39/32</small>~~
	~~\|<small>3/2</small>~~
	~~\|<small>13/8</small>~~
	\|-		\|-
	\|<small>13/12</small>		\|<small>13/12</small>
	\|<small>4/3</small>		\|<small>4/3</small>
	\|<small>13/9</small>		\|<small>13/9</small>
	\|<small>13/8</small>		\|<small>16/9</small>
	\|<small>13/12</small>		\|<small>13/12</small>
	\|<small>4/3</small>		\|<small>4/3</small>
	\|<small>13/9</small>		\|<small>13/9</small>
	\|<small>16/9</small>		\|<small>13/8</small>
	\|-		\|-
	\|<small>16/13</small>		\|<small>16/13</small>
	\|<small>4/3</small>		\|<small>4/3</small>
	\|<small>3/2</small>		\|<small>64/39</small>
	\|<small>24/13</small>		\|<small>24/13</small>
	\|<small>16/13</small>		\|<small>16/13</small>
	\|<small>4/3</small>		\|<small>4/3</small>
	\|<small>64/39</small>		\|<small>3/2</small>
	\|<small>24/13</small>		\|<small>24/13</small>
			\|}

			=== A general Skirmish ===
			Any scale of this form for any cent value 0 < C < 4/3. I declare to be a Skirmish. RH Skirmish have sqrt(4/3) < C < 4/3, and LH 1 < C < sqrt(4/3). This also means that the above scales, Nicepent, Pyth pentic modes, and semiquartal scales are Skirmishes, though... the term is better for C ≈ 13/12, you know, "minor second-ish" intervals.
			{\| class="wikitable"
			\|-
			! colspan="5" \|Scale degrees
			\|-
			!C
			!4/3
			!3/2
			!3/2C
			! rowspan="5" \|2
			\|-
			\|4/(3C)
			\|3/(2C)
			\|<small>3/2</small>
			\|2/C
			\|-
			\|<small>9/8</small>
			\|9/8C
			\|<small>3/2</small>
			\|3/2C
			\|-
			\|C
			\|<small>4/3</small>
			\|4/3C
			\|<small>16/9</small>
			\|-
			\|4/(3C)
			\|<small>4/3</small>
			\|16/(9C)
			\|2/C
	\|}		\|}

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	\|}		\|}

	=== ~~Aura's Zarlinoid~~ [MV4, CS, SP] ===		=== Didymus [MV4, CS, SP] ===
	A scale that Aura really likes to use. It's good in some places, but Zarlino is better generally. The LH version is good basically only for its minor scale, because the major is kind of harsh with 10/9 and 40/27.		A scale that Aura really likes to use. It's good in some places, but Zarlino is better generally. The LH version is good basically only for its minor scale, because the major is kind of harsh with 10/9 and 40/27.
	{\| class="wikitable"		{\| class="wikitable"

Eufalesio: More things, more expansions

2026-08-20T09:12:21Z

More things, more expansions

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Eufalesio: Hotfixes!

2026-08-19T23:30:57Z

Hotfixes!

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Eufalesio: More scales!

2026-08-19T23:30:16Z

More scales!

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Eufalesio: /* Carlos Harmonic [MV12, CS] */

2026-08-14T10:16:18Z

Carlos Harmonic [MV12, CS]

← Older revision		Revision as of 10:16, 14 August 2026
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	=== Carlos Harmonic [MV12, CS] ===		=== Carlos Harmonic [MV12, CS] ===
	19-limit realized into an easy 12-note scale, and a very easy way to		19-limit realized into an easy 12-note scale, and a very easy way to approach the 19-limit, in only one key. With modal interchange, you can basically play in 19-limit JI with big wide steps, so no quartertones or things like that. Most you'll get is 27/16! This is still the base scale of what I call the "fudge workflow", when you want and can do JI stuff but you must play within the limitations of 12 keys per octave. I found that moving the fundamental of the scale along 48edo is good enough.

			Why moving the fundamental of the scale along 48edo? Because that way you have the harmonic scale along all 48edo notes, which includes the 12edo notes which are very close to a chain of fifths, 25c steps close to 81/80 and 64/63, and 50c steps close to 33/32 and 1053/1024.
	{\| class="wikitable"		{\| class="wikitable"
	! colspan="12" \|Scale degrees		! colspan="12" \|Scale degrees

Eufalesio at 18:46, 13 August 2026

2026-08-13T18:46:53Z

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