Golden magic - Revision history

VectorGraphics at 19:55, 14 May 2025

2025-05-14T19:55:33Z

← Older revision		Revision as of 19:55, 14 May 2025
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	A tuning that consists of alternating downmajor thirds at 380.819c and upmajor thirds at 438.362c is recommended as it makes the stretches needed to play 11 limit chords on a Kite guitar more manageable.		A tuning that consists of alternating downmajor thirds at 380.819c and upmajor thirds at 438.362c is recommended as it makes the stretches needed to play 11 limit chords on a Kite guitar more manageable.

			== See also ==

			* [[Golden sequences and tuning]]

	[[Category:104edo]]		[[Category:104edo]]
	[[Category:167edo]]		[[Category:167edo]]

2024-11-15T03:30:02Z

← Older revision		Revision as of 03:30, 15 November 2024
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	==Scale==		==Scale==

	Golden magic approximates simple intervals in the 2,3,7,11 subgroup very closely and 5 somewhat less closely (in fact 5 has the highest error of any identity in the 11 limit). Here's the 41 tone MOS with a JI detempering in the 2,3,7,11 subgroup:		Golden magic approximates simple intervals in the 2.3.7.11 subgroup very closely and 5 somewhat less closely (in fact 5 has the highest error of any identity in the 11 limit). Here's the 41 tone MOS with a JI detempering in the 2.3.7.11 subgroup:
	{\| class="wikitable"		{\| class="wikitable"
	\|'''Scale Degree'''		\|'''Scale Degree'''

2023-04-28T09:26:09Z

Removed from "Golden"

2023-04-25T11:23:39Z

2023-04-25T11:23:23Z

Categorised this uncategorised page

← Older revision		Revision as of 11:23, 25 April 2023
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	A tuning that consists of alternating downmajor thirds at 380.819c and upmajor thirds at 438.362c is recommended as it makes the stretches needed to play 11 limit chords on a Kite guitar more manageable.		A tuning that consists of alternating downmajor thirds at 380.819c and upmajor thirds at 438.362c is recommended as it makes the stretches needed to play 11 limit chords on a Kite guitar more manageable.
			[[Category:104edo]]
			[[Category:167edo]]
			[[Category:Magic]]
			[[Category:Golden]]
			[[Category:Golden ratio]]

2022-04-22T04:16:57Z

Scale

← Older revision		Revision as of 04:16, 22 April 2022
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	The extension of golden magic to the full 11 limit also tempers out the [[Magic comma\|Laquinyo comma]], the [[Septimal kleisma\|Ruyoyo comma]], the [[Sensamagic comma\|Zozoyo comma]], and the [[875/864\|Zotriyo comma]].		The extension of golden magic to the full 11 limit also tempers out the [[Magic comma\|Laquinyo comma]], the [[Septimal kleisma\|Ruyoyo comma]], the [[Sensamagic comma\|Zozoyo comma]], and the [[875/864\|Zotriyo comma]].

	Golden magic can be extended to the 13 limit by tempering out the [[364/363\|Tholuluzo comma]] and the [[praveensma\|Thoquadzo comma]]. The 63 tone golden magic ~~scale~~ has a copy of the 9 tone [[praveensma\|praveensmic]] MOS as well as the 18 tone 3-MOS.		Golden magic can be extended to the 13 limit by tempering out the [[364/363\|Tholuluzo comma]] and the [[praveensma\|Thoquadzo comma]]. The 63 tone golden magic MOS has a copy of the 9 tone [[praveensma\|praveensmic]] MOS as well as the 18 tone 3-MOS.

	== Golden Kite Guitar ==		== Golden Kite Guitar ==

2022-04-22T04:16:24Z

Scale

← Older revision		Revision as of 04:16, 22 April 2022
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	The extension of golden magic to the full 11 limit also tempers out the [[Magic comma\|Laquinyo comma]], the [[Septimal kleisma\|Ruyoyo comma]], the [[Sensamagic comma\|Zozoyo comma]], and the [[875/864\|Zotriyo comma]].		The extension of golden magic to the full 11 limit also tempers out the [[Magic comma\|Laquinyo comma]], the [[Septimal kleisma\|Ruyoyo comma]], the [[Sensamagic comma\|Zozoyo comma]], and the [[875/864\|Zotriyo comma]].

	Golden magic can be extended to the 13 limit by tempering out the [[364/363\|Tholuluzo comma]] and the [[praveensma\|Thoquadzo comma]].		Golden magic can be extended to the 13 limit by tempering out the [[364/363\|Tholuluzo comma]] and the [[praveensma\|Thoquadzo comma]]. The 63 tone golden magic scale has a copy of the 9 tone [[praveensma\|praveensmic]] MOS as well as the 18 tone 3-MOS.

	== Golden Kite Guitar ==		== Golden Kite Guitar ==

2022-04-22T04:14:45Z

Scale

← Older revision		Revision as of 04:14, 22 April 2022
Line 310:		Line 310:
	The extension of golden magic to the full 11 limit also tempers out the [[Magic comma\|Laquinyo comma]], the [[Septimal kleisma\|Ruyoyo comma]], the [[Sensamagic comma\|Zozoyo comma]], and the [[875/864\|Zotriyo comma]].		The extension of golden magic to the full 11 limit also tempers out the [[Magic comma\|Laquinyo comma]], the [[Septimal kleisma\|Ruyoyo comma]], the [[Sensamagic comma\|Zozoyo comma]], and the [[875/864\|Zotriyo comma]].

	Golden magic can be extended to the 13 limit by tempering out the [[~~gentle comma~~\|Tholuluzo comma]] and the [[praveensma\|Thoquadzo comma]].		Golden magic can be extended to the 13 limit by tempering out the [[364/363\|Tholuluzo comma]] and the [[praveensma\|Thoquadzo comma]].

	== Golden Kite Guitar ==		== Golden Kite Guitar ==

2022-04-22T04:13:53Z

Scale

← Older revision		Revision as of 04:13, 22 April 2022
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	The extension of golden magic to the full 11 limit also tempers out the [[Magic comma\|Laquinyo comma]], the [[Septimal kleisma\|Ruyoyo comma]], the [[Sensamagic comma\|Zozoyo comma]], and the [[875/864\|Zotriyo comma]].		The extension of golden magic to the full 11 limit also tempers out the [[Magic comma\|Laquinyo comma]], the [[Septimal kleisma\|Ruyoyo comma]], the [[Sensamagic comma\|Zozoyo comma]], and the [[875/864\|Zotriyo comma]].

			Golden magic can be extended to the 13 limit by tempering out the [[gentle comma\|Tholuluzo comma]] and the [[praveensma\|Thoquadzo comma]].

	== Golden Kite Guitar ==		== Golden Kite Guitar ==

2022-04-12T18:27:40Z

← Older revision		Revision as of 18:27, 12 April 2022
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	\|w8		\|w8
	\|}		\|}
	The highest error of any interval in the 1,3,7,9,11 tonality diamond is 9/8, which is 4.281 cents sharp, and the lowest error is 0.012 cents, for 11/6. Golden magic tempers out the ~~Saluzo comma, a.k.a.~~ [[Pentacircle comma]], as well as the Saquinzo comma. Furthermore, five generators of golden magic equal the perfect fifth in [[Peppermint-24]], and golden magic can be construed as a close rank 2 approximation of Peppermint, with the quasi-diesis being 57.543 cents.		The highest error of any interval in the 1,3,7,9,11 tonality diamond is 9/8, which is 4.281 cents sharp, and the lowest error is 0.012 cents, for 11/6. Golden magic tempers out the [[Pentacircle comma\|Saluzo comma]] as well as the Saquinzo comma. Furthermore, five generators of golden magic equal the perfect fifth in [[Peppermint-24]], and golden magic can be construed as a close rank 2 approximation of Peppermint, with the quasi-diesis being 57.543 cents.

			The extension of golden magic to the full 11 limit also tempers out the [[Magic comma\|Laquinyo comma]], the [[Septimal kleisma\|Ruyoyo comma]], the [[Sensamagic comma\|Zozoyo comma]], and the [[875/864\|Zotriyo comma]].

	== Golden Kite Guitar ==		== Golden Kite Guitar ==