Magic extensions - Revision history

FloraC: Target tunings

2025-09-26T14:08:45Z

Target tunings

FloraC: FloraC moved page Magic/Extensions to Magic extensions over a redirect without leaving a redirect: Reversion for creating broken redirects with no clear gain

2025-08-06T11:48:34Z

FloraC moved page Magic/Extensions to Magic extensions over a redirect without leaving a redirect: Reversion for creating broken redirects with no clear gain

← Older revision	Revision as of 11:48, 6 August 2025
(No difference)

Lériendil: Text replacement - "Eigenmonzo
(unchanged-interval)" to "Unchanged interval
(eigenmonzo)"

2025-06-21T06:56:11Z

Text replacement - "Eigenmonzo<br>(unchanged-interval)" to "Unchanged interval<br>(eigenmonzo)"

← Older revision		Revision as of 06:56, 21 June 2025
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	! Edo<br>generator		! Edo<br>generator
	! [[Eigenmonzo\|~~Eigenmonzo~~<br>(~~unchanged-interval~~)]]		! [[Eigenmonzo\|Unchanged interval<br>(eigenmonzo)]]
	! Generator (¢)		! Generator (¢)
	! Comments		! Comments
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	! Edo<br>generator		! Edo<br>generator
	! ~~Eigenmonzo~~<br>(~~unchanged-interval~~)		! Unchanged interval<br>(eigenmonzo)
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	! Comments		! Comments
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	! Comments		! Comments
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	! Generator (¢)		! Generator (¢)
	! Comments		! Comments

ArrowHead294 at 13:20, 4 June 2025

2025-06-04T13:20:09Z

ArrowHead294: ArrowHead294 moved page Magic extensions to Magic/Extensions: Change to subpage format

2025-06-04T13:18:42Z

ArrowHead294 moved page Magic extensions to Magic/Extensions: Change to subpage format

← Older revision	Revision as of 13:18, 4 June 2025
(No difference)

Lériendil at 23:23, 19 April 2025

2025-04-19T23:23:00Z

← Older revision		Revision as of 23:23, 19 April 2025
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			{{Breadcrumb\|Magic}}

	[[Magic]] has various competing [[extension]]s to the [[11-limit\|11-]] and [[13-limit]]. The following temperaments are discussed in this article:		[[Magic]] has various competing [[extension]]s to the [[11-limit\|11-]] and [[13-limit]]. The following temperaments are discussed in this article:

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	[[Category:Magic]]		[[Category:Magic]]
	[[Category:Temperament extensions]]		[[Category:Temperament extensions]]
			[[Category:Rank-2 temperaments]]

FloraC: There's no consequential relationship between accuracy and the supporting edos. We can't just assume larger edos imply higher accuracy. Also add the mirroring info for witchcraft

2025-04-01T11:27:56Z

There's no consequential relationship between accuracy and the supporting edos. We can't just assume larger edos imply higher accuracy. Also add the mirroring info for witchcraft

← Older revision		Revision as of 11:27, 1 April 2025
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	* '''Telepathy''' (19e & 22) – tempering out 55/54, 65/64, 91/90, and 99/98.		* '''Telepathy''' (19e & 22) – tempering out 55/54, 65/64, 91/90, and 99/98.

	The most important of these is tridecimal magic, where primes 11 and 13 are mapped such that 10/9 and 11/10 are tempered together and that 14/13 and 16/15 are tempered together. Necromancy takes the same mapping of 11 as magic, but swaps in a more complex mapping for 13, enabling the possibility of a higher-accuracy harmony~~, so that it's the [[41edo\|41]] & [[63edo\|63]] temperament also supported by [[104edo]]~~. Similarly, witchcraft takes the same mapping of 13 as magic, but swaps in a more complex mapping for 11.		The most important of these is tridecimal magic, where primes 11 and 13 are mapped such that 10/9 and 11/10 are tempered together and that 14/13 and 16/15 are tempered together. Necromancy takes the same mapping of 11 as magic, but swaps in a more complex mapping for 13, enabling the possibility of a higher-accuracy harmony. Similarly, witchcraft takes the same mapping of 13 as magic, but swaps in a more complex mapping for 11. Necromancy is the {{nowrap\| 41 & 63 }} temperament [[support]]ed by [[104edo]], whereas witchcraft is the {{nowrap\| 41 & 60e }} temperament supported by [[101edo]] in the 101cd [[val]].

	Sorcery swaps in a less complex and less accurate mapping for prime 13, as it finds ~16/13 where magic will find ~26/21, which is of course conflated with ~5/4. Likewise, ~~intuitive~~ uses a less complex and less accurate mapping for prime 11. Finally, telepathy adopts the changes of both sorcery and intuition, resulting in a very low-accuracy temperament.		Sorcery swaps in a less complex and less accurate mapping for prime 13, as it finds ~16/13 where magic will find ~26/21, which is of course conflated with ~5/4. Likewise, intuition uses a less complex and less accurate mapping for prime 11. Finally, telepathy adopts the changes of both sorcery and intuition, resulting in a very low-accuracy temperament.

	See [[Magic family #Magic]], [[Magic family #Necromancy\|#Necromany]], [[Magic family #Witchcraft\|#Witchcraft]], [[Magic family #Sorcery\|#Sorcery]], [[Magic family #Intuition\|#Intuition]], and [[Magic family #Telepathy\|#Telepathy]] for technical data.		See [[Magic family #Magic]], [[Magic family #Necromancy\|#Necromany]], [[Magic family #Witchcraft\|#Witchcraft]], [[Magic family #Sorcery\|#Sorcery]], [[Magic family #Intuition\|#Intuition]], and [[Magic family #Telepathy\|#Telepathy]] for technical data.

FloraC: The names should be bolded cuz the terms redirect here. Move the links to the end of the intro

2025-04-01T11:16:08Z

The names should be bolded cuz the terms redirect here. Move the links to the end of the intro

← Older revision		Revision as of 11:16, 1 April 2025
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	[[Magic]] has various competing [[extension]]s to the 11- and 13-limit. The following temperaments are discussed in this article:		[[Magic]] has various competing [[extension]]s to the [[11-limit\|11-]] and [[13-limit]]. The following temperaments are discussed in this article:

	* ~~[[Magic family#13-limit\|~~Tridecimal magic]] (19 & 22f) – tempering out 100/99, 105/104, 144/143, and 196/195;		* '''Tridecimal magic''' (19 & 22f) – tempering out 100/99, 105/104, 144/143, and 196/195;
	* ~~[[Magic family#~~Necromancy~~\|Necromancy]]~~ (19f & 22) – tempering out 100/99, 225/224, 245/243, and 275/273;		* '''Necromancy''' (19f & 22) – tempering out 100/99, 225/224, 245/243, and 275/273;
	* ~~[[Magic family#~~Witchcraft~~\|Witchcraft]]~~ (19e & 22ef) – tempering out 105/104, 196/195, 245/243, and 275/273;		* '''Witchcraft''' (19e & 22ef) – tempering out 105/104, 196/195, 245/243, and 275/273;
	* ~~[[Magic family#~~Sorcery~~\|Sorcery]]~~ (19 & 22) – tempering out 65/64, 78/77, 91/90, and 100/99;		* '''Sorcery''' (19 & 22) – tempering out 65/64, 78/77, 91/90, and 100/99;
	* ~~[[Magic family#~~Intuition~~\|Intuition]]~~ (19e & 22f) – tempering out 55/54, 66/65, 99/98, and 105/104;		* '''Intuition''' (19e & 22f) – tempering out 55/54, 66/65, 99/98, and 105/104;
	* ~~[[Magic family#Telepathy\|~~Telepathy]] (19e & 22) – tempering out 55/54, 65/64, 91/90, and 99/98.		* '''Telepathy''' (19e & 22) – tempering out 55/54, 65/64, 91/90, and 99/98.

	The most important of these is tridecimal magic, where primes 11 and 13 are mapped such that 10/9 and 11/10 are tempered together and that 14/13 and 16/15 are tempered together. Necromancy takes the same mapping of 11 as magic, but swaps in a more complex mapping for 13, enabling the possibility of a higher-accuracy harmony, so that it's the [[41edo\|41]] & [[63edo\|63]] temperament also supported by [[104edo]]. Similarly, witchcraft takes the same mapping of 13 as magic, but swaps in a more complex mapping for 11.		The most important of these is tridecimal magic, where primes 11 and 13 are mapped such that 10/9 and 11/10 are tempered together and that 14/13 and 16/15 are tempered together. Necromancy takes the same mapping of 11 as magic, but swaps in a more complex mapping for 13, enabling the possibility of a higher-accuracy harmony, so that it's the [[41edo\|41]] & [[63edo\|63]] temperament also supported by [[104edo]]. Similarly, witchcraft takes the same mapping of 13 as magic, but swaps in a more complex mapping for 11.

	Sorcery swaps in a less complex and less accurate mapping for prime 13, as it finds ~16/13 where magic will find ~26/21, which is of course conflated with ~5/4. Likewise, intuitive uses a less complex and less accurate mapping for prime 11. Finally, telepathy adopts the changes of both sorcery and intuition, resulting in a very low-accuracy temperament.		Sorcery swaps in a less complex and less accurate mapping for prime 13, as it finds ~16/13 where magic will find ~26/21, which is of course conflated with ~5/4. Likewise, intuitive uses a less complex and less accurate mapping for prime 11. Finally, telepathy adopts the changes of both sorcery and intuition, resulting in a very low-accuracy temperament.

			See [[Magic family #Magic]], [[Magic family #Necromancy\|#Necromany]], [[Magic family #Witchcraft\|#Witchcraft]], [[Magic family #Sorcery\|#Sorcery]], [[Magic family #Intuition\|#Intuition]], and [[Magic family #Telepathy\|#Telepathy]] for technical data.

	== Interval chain ==		== Interval chain ==

Godtone: if u want them all to link here then the reader should be able to find the technical data without hassle, meaning they should be linked. also cant hurt to add a little info abt them

2025-03-27T00:51:59Z

if u want them all to link here then the reader should be able to find the technical data without hassle, meaning they should be linked. also cant hurt to add a little info abt them

← Older revision		Revision as of 00:51, 27 March 2025
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	[[Magic]] has various competing [[extension]]s to the 11- and 13-limit. The following temperaments are discussed in this article:		[[Magic]] has various competing [[extension]]s to the 11- and 13-limit. The following temperaments are discussed in this article:

	* ~~'''~~Tridecimal magic~~'''~~ (19 & 22f) – tempering out 100/99, 105/104, 144/143, and 196/195;		* [[Magic family#13-limit\|Tridecimal magic]] (19 & 22f) – tempering out 100/99, 105/104, 144/143, and 196/195;
	* ~~'''~~Necromancy~~'''~~ (19f & 22) – tempering out 100/99, 225/224, 245/243, and 275/273;		* [[Magic family#Necromancy\|Necromancy]] (19f & 22) – tempering out 100/99, 225/224, 245/243, and 275/273;
	* ~~'''~~Witchcraft~~'''~~ (19e & 22ef) – tempering out 105/104, 196/195, 245/243, and 275/273;		* [[Magic family#Witchcraft\|Witchcraft]] (19e & 22ef) – tempering out 105/104, 196/195, 245/243, and 275/273;
	* ~~'''~~Sorcery~~'''~~ (19 & 22) – tempering out 65/64, 78/77, 91/90, and 100/99;		* [[Magic family#Sorcery\|Sorcery]] (19 & 22) – tempering out 65/64, 78/77, 91/90, and 100/99;
	* ~~'''~~Intuition~~'''~~ (19e & 22f) – tempering out 55/54, 66/65, 99/98, and 105/104;		* [[Magic family#Intuition\|Intuition]] (19e & 22f) – tempering out 55/54, 66/65, 99/98, and 105/104;
	* ~~'''~~Telepathy~~'''~~ (19e & 22) – tempering out 55/54, 65/64, 91/90, and 99/98.		* [[Magic family#Telepathy\|Telepathy]] (19e & 22) – tempering out 55/54, 65/64, 91/90, and 99/98.

	The most important of these is tridecimal magic, where primes 11 and 13 are mapped such that 10/9 and 11/10 are tempered together and that 14/13 and 16/15 are tempered together. Necromancy takes the same mapping of 11 as magic, but swaps in a more complex mapping for 13, enabling the possibility of a higher-accuracy harmony. Similarly, witchcraft takes the same mapping of 13 as magic, but swaps in a more complex mapping for 11.		The most important of these is tridecimal magic, where primes 11 and 13 are mapped such that 10/9 and 11/10 are tempered together and that 14/13 and 16/15 are tempered together. Necromancy takes the same mapping of 11 as magic, but swaps in a more complex mapping for 13, enabling the possibility of a higher-accuracy harmony, so that it's the [[41edo\|41]] & [[63edo\|63]] temperament also supported by [[104edo]]. Similarly, witchcraft takes the same mapping of 13 as magic, but swaps in a more complex mapping for 11.

	Sorcery swaps in a less complex and less accurate mapping for prime 13, as it finds ~16/13 where magic will find ~26/21, which is of course conflated with ~5/4. Likewise, intuitive uses a less complex and less accurate mapping for prime 11. Finally, telepathy adopts the changes of both sorcery and intuition, resulting in a very low-accuracy temperament.		Sorcery swaps in a less complex and less accurate mapping for prime 13, as it finds ~16/13 where magic will find ~26/21, which is of course conflated with ~5/4. Likewise, intuitive uses a less complex and less accurate mapping for prime 11. Finally, telepathy adopts the changes of both sorcery and intuition, resulting in a very low-accuracy temperament.

FloraC: /* Tuning spectra */ +intervals of 21

2024-12-30T04:00:33Z

Tuning spectra: +intervals of 21

Show changes

← Older revision		Revision as of 13:20, 4 June 2025
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	[[Magic]] has various competing [[extension]]s to the [[11-limit\|11-]] and [[13-limit]]. The following temperaments are discussed in this article:		[[Magic]] has various competing [[extension]]s to the [[11-limit\|11-]] and [[13-limit]]. The following temperaments are discussed in this article:

	* '''Tridecimal magic''' (19 & 22f) – tempering out 100/99, 105/104, 144/143, and 196/195;		* '''Tridecimal magic''' ({{nowrap\|19 & 22f}}) – tempering out 100/99, 105/104, 144/143, and 196/195;
	* '''Necromancy''' (19f & 22) – tempering out 100/99, 225/224, 245/243, and 275/273;		* '''Necromancy''' ({{nowrap\|19f & 22}}) – tempering out 100/99, 225/224, 245/243, and 275/273;
	* '''Witchcraft''' (19e & 22ef) – tempering out 105/104, 196/195, 245/243, and 275/273;		* '''Witchcraft''' ({{nowrap\|19e & 22ef}}) – tempering out 105/104, 196/195, 245/243, and 275/273;
	* '''Sorcery''' (19 & 22) – tempering out 65/64, 78/77, 91/90, and 100/99;		* '''Sorcery''' ({{nowrap\|19 & 22}}) – tempering out 65/64, 78/77, 91/90, and 100/99;
	* '''Intuition''' (19e & 22f) – tempering out 55/54, 66/65, 99/98, and 105/104;		* '''Intuition''' ({{nowrap\|19e & 22f}}) – tempering out 55/54, 66/65, 99/98, and 105/104;
	* '''Telepathy''' (19e & 22) – tempering out 55/54, 65/64, 91/90, and 99/98.		* '''Telepathy''' ({{nowrap\|19e & 22}}) – tempering out 55/54, 65/64, 91/90, and 99/98.

	The most important of these is tridecimal magic, where primes 11 and 13 are mapped such that 10/9 and 11/10 are tempered together and that 14/13 and 16/15 are tempered together. Necromancy takes the same mapping of 11 as magic, but swaps in a more complex mapping for 13, enabling the possibility of a higher-accuracy harmony. Similarly, witchcraft takes the same mapping of 13 as magic, but swaps in a more complex mapping for 11. Necromancy is the {{nowrap\| 41 & 63 }} temperament [[support]]ed by [[104edo]], whereas witchcraft is the {{nowrap\| 41 & 60e }} temperament supported by [[101edo]] in the 101cd [[val]].		The most important of these is tridecimal magic, where primes 11 and 13 are mapped such that 10/9 and 11/10 are tempered together and that 14/13 and 16/15 are tempered together. Necromancy takes the same mapping of 11 as magic, but swaps in a more complex mapping for 13, enabling the possibility of a higher-accuracy harmony. Similarly, witchcraft takes the same mapping of 13 as magic, but swaps in a more complex mapping for 11. Necromancy is the {{nowrap\| 41 & 63 }} temperament [[support]]ed by [[104edo]], whereas witchcraft is the {{nowrap\| 41 & 60e }} temperament supported by [[101edo]] in the 101cd [[val]].

	Sorcery swaps in a less complex and less accurate mapping for prime 13, as it finds ~16/13 where magic will find ~26/21, which is of course conflated with ~5/4. Likewise, intuition uses a less complex and less accurate mapping for prime 11. Finally, telepathy adopts the changes of both sorcery and intuition, resulting in a very low-accuracy temperament.		Sorcery swaps in a less complex and less accurate mapping for prime 13, as it finds ~16/13 where magic will find ~26/21, which is of course conflated with ~5/4. Likewise, intuition uses a less complex and less accurate mapping for prime 11. Finally, telepathy adopts the changes of both sorcery and intuition, resulting in a very low-accuracy temperament.
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	! rowspan="3" \| Cents*		! rowspan="3" \| Cents*