Chromium - Revision history

FloraC: - parent category

2025-04-28T13:59:06Z

- parent category

← Older revision		Revision as of 13:59, 28 April 2025
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	[[Category:Chromium\| ]] <!-- main article -->		[[Category:Chromium\| ]] <!-- main article -->
	~~[[Category:Temperaments]]~~
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:Landscape microtemperaments]]		[[Category:Landscape microtemperaments]]

Lériendil at 23:02, 19 April 2025

2025-04-19T23:02:10Z

← Older revision		Revision as of 23:02, 19 April 2025
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	[[Category:Chromium\| ]] <!-- main article -->		[[Category:Chromium\| ]] <!-- main article -->
	[[Category:Temperaments]]		[[Category:Temperaments]]
			[[Category:Rank-2 temperaments]]
	[[Category:Landscape microtemperaments]]		[[Category:Landscape microtemperaments]]

Eliora: /* Theory */

2023-06-10T20:51:57Z

Theory

← Older revision		Revision as of 20:51, 10 June 2023
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	=== 250/243 as the porcupine comma ===		=== 250/243 as the porcupine comma ===
	From a regular temperament theory perspective in the 5-limit, chromium is defined entirely by the [-23 120 -~~72⟩~~ comma that closes a stack of 24 porcupine commas with the octave.		From a regular temperament theory perspective in the 5-limit, chromium is defined entirely by the {{monzo\|-23 120 -72}} comma that closes a stack of 24 porcupine commas with the octave.

	Chromium reaches [[10/9]] in just one generator step. As such, it reaches [[100/81]] in two, while simultaneously reaching [[6/5]] in two. Because every note is replicated 24 times around the octave, and 250/243 maps to the period, 6/5 occurs exactly one step of 24edo above two 10/9's.		Chromium reaches [[10/9]] in just one generator step. As such, it reaches [[100/81]] in two, while simultaneously reaching [[6/5]] in two. Because every note is replicated 24 times around the octave, and 250/243 maps to the period, 6/5 occurs exactly one step of 24edo above two 10/9's.

Eliora: /* 250/243 as the porcupine comma */

2023-06-10T20:51:32Z

250/243 as the porcupine comma

← Older revision		Revision as of 20:51, 10 June 2023
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	Chromium has mos scales of size 48, 72, and 120.		Chromium has mos scales of size 48, 72, and 120.

			=== 250/243 as the porcupine comma ===
			From a regular temperament theory perspective in the 5-limit, chromium is defined entirely by the [-23 120 -72⟩ comma that closes a stack of 24 porcupine commas with the octave.

			Chromium reaches [[10/9]] in just one generator step. As such, it reaches [[100/81]] in two, while simultaneously reaching [[6/5]] in two. Because every note is replicated 24 times around the octave, and 250/243 maps to the period, 6/5 occurs exactly one step of 24edo above two 10/9's.

	=== 120-tone mos ===		=== 120-tone mos ===
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	A tuning where it is worth exploring chromium if one seeks large divisibility is [[480edo]], which is a [[Highly composite equal division #Largely composite numbers\|largely composite edo]]. In this instance, the L step of 120-tone scale becomes equal to one step of [[80edo]], and s step maps to one step of the 480edo itself. This is realized via the 480fgg val in the 17-limit.		A tuning where it is worth exploring chromium if one seeks large divisibility is [[480edo]], which is a [[Highly composite equal division #Largely composite numbers\|largely composite edo]]. In this instance, the L step of 120-tone scale becomes equal to one step of [[80edo]], and s step maps to one step of the 480edo itself. This is realized via the 480fgg val in the 17-limit.

	~~=== 250/243 as the porcupine comma ===~~
	Chromium reaches [[10/9]] in just one generator step. As such, it reaches [[100/81]] in two, while simultaneously reaching [[6/5]] in two. Because every note is replicated 24 times around the octave, and 250/243 maps to the period, 6/5 occurs exactly one step of 24edo above two 10/9's.

	[[Category:Chromium\| ]] <!-- main article -->		[[Category:Chromium\| ]] <!-- main article -->
	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Landscape microtemperaments]]		[[Category:Landscape microtemperaments]]

Eliora: /* Theory */

2023-06-10T20:49:07Z

Theory

← Older revision		Revision as of 20:49, 10 June 2023
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	== Theory ==		== Theory ==
	In the 17-limit, chromium has a comma basis {936/935, 1701/1700, 1716/1715, 2025/2023, 11016/11011}. The period of chromium is mapped to [[250/243]], and in this paradigm it is referred to as ''chromium quartertone''. In the 17-limit, the period is also represented by 35/34, which means that [[1701/1700]] is tempered out.		In the 17-limit, chromium has a comma basis {936/935, 1701/1700, 1716/1715, 2025/2023, 11016/11011}. The period of chromium is mapped to [[250/243]], and in this paradigm it is referred to as ''chromium quartertone''. In the 17-limit, the period is also represented by 35/34, which means that [[1701/1700]] is tempered out and also means that chromium temperament contains [[palingenetic chords]].

	Chromium has mos scales of size 48, 72, and 120.		Chromium has mos scales of size 48, 72, and 120.

FloraC: "Dark"/"bright" generator are defined on scales, not temperaments; formatting and style cleanup

2022-12-18T10:44:31Z

"Dark"/"bright" generator are defined on scales, not temperaments; formatting and style cleanup

← Older revision		Revision as of 10:44, 18 December 2022
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	~~[[Category:Temperaments]]~~		'''Chromium''' is a rank-2 temperament which has a period of 1/24th of the octave and a generator of [[10/7]] or [[7/5]]. It is named after the 24th chemical element.
	~~[[Category:Landscape microtemperaments]]~~
	'''Chromium''' is a rank-2 temperament which has a period of 1/24th of the octave and a generator of [[10/7]] ~~(dark)~~ or [[7/5]] ~~(bright)~~. It is named after the 24th chemical element.

	For technical data see: [[Landscape microtemperaments#Chromium]]		For technical data see [[Landscape microtemperaments #Chromium]].

	== Theory ==		== Theory ==
	In the 17-limit, chromium has a comma basis {936/935, 1701/1700, 1716/1715, 2025/2023, 11016/11011}. The period of chromium is mapped to [[250/243]], and in this paradigm it is referred to as ''chromium quartertone''. In the 17-limit, the period is also represented by 35/34, which means that [[1701/1700]] is tempered out.		In the 17-limit, chromium has a comma basis {936/935, 1701/1700, 1716/1715, 2025/2023, 11016/11011}. The period of chromium is mapped to [[250/243]], and in this paradigm it is referred to as ''chromium quartertone''. In the 17-limit, the period is also represented by 35/34, which means that [[1701/1700]] is tempered out.

	Chromium has ~~MOS~~ scales of size 48, 72, and 120.		Chromium has mos scales of size 48, 72, and 120.

	=== 120-tone ~~MOS~~ ===		=== 120-tone mos ===
	The 120-tone ~~MOS~~ of chromium is notable because it has 3rd, 5th, 7th, and 11th harmonics within reach of 5 ~~generators~~ or less. In addition in higher limits, it also has [[17/13]] within the reach of two ~~generators~~.		The 120-tone mos of chromium is notable because it has 3rd, 5th, 7th, and 11th harmonics within reach of 5 generator steps or less. In addition in higher limits, it also has [[17/13]] within the reach of two generator steps.

	The brightest mode has the pattern (LLsLs)~~x24~~, and in addition it's a very hard tuning, which means it sounds nothing like [[120edo]].		The brightest mode has the pattern (LLsLs)×24, and in addition it is a very hard tuning, which means it sounds nothing like [[120edo]].

	A tuning where it's worth exploring chromium if one seeks large divisibility is [[480edo]], which is a [[Highly composite equal division#Largely composite numbers\|largely composite ~~EDO~~]]. In this instance, the L step of 120-tone scale becomes equal to one step of [[80edo]], and s step maps to one step of the 480edo itself. ~~In regular temperament theory, this~~ is realized via the 480fgg val in the 17-limit.		A tuning where it is worth exploring chromium if one seeks large divisibility is [[480edo]], which is a [[Highly composite equal division #Largely composite numbers\|largely composite edo]]. In this instance, the L step of 120-tone scale becomes equal to one step of [[80edo]], and s step maps to one step of the 480edo itself. This is realized via the 480fgg val in the 17-limit.

	=== 250/243 as the porcupine comma ===		=== 250/243 as the porcupine comma ===
	Chromium reaches [[10/9]] in just one ~~bright~~ generator. As such, it reaches [[100/81]] in two, while simultaneously reaching [[6/5]] in two. Because every note is replicated 24 times around the octave, and 250/243 maps to the period, 6/5 occurs exactly one step of 24edo above two 10/9s.		Chromium reaches [[10/9]] in just one generator step. As such, it reaches [[100/81]] in two, while simultaneously reaching [[6/5]] in two. Because every note is replicated 24 times around the octave, and 250/243 maps to the period, 6/5 occurs exactly one step of 24edo above two 10/9's.

			[[Category:Chromium\| ]] <!-- main article -->
			[[Category:Temperaments]]
			[[Category:Landscape microtemperaments]]

Eliora: link to the page that previously was a redirect, as technical data.

2022-12-18T02:34:54Z

link to the page that previously was a redirect, as technical data.

← Older revision		Revision as of 02:34, 18 December 2022
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	[[Category:Landscape microtemperaments]]		[[Category:Landscape microtemperaments]]
	'''Chromium''' is a rank-2 temperament which has a period of 1/24th of the octave and a generator of [[10/7]] (dark) or [[7/5]] (bright). It is named after the 24th chemical element.		'''Chromium''' is a rank-2 temperament which has a period of 1/24th of the octave and a generator of [[10/7]] (dark) or [[7/5]] (bright). It is named after the 24th chemical element.

			For technical data see: [[Landscape microtemperaments#Chromium]]

	== Theory ==		== Theory ==

Eliora: wrote out facts about chromium.

2022-12-18T02:34:14Z

wrote out facts about chromium.

← Older revision		Revision as of 02:34, 18 December 2022
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	~~#REDIRECT [[Landscape microtemperaments #Chromium]]~~

	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Landscape microtemperaments]]		[[Category:Landscape microtemperaments]]
			'''Chromium''' is a rank-2 temperament which has a period of 1/24th of the octave and a generator of [[10/7]] (dark) or [[7/5]] (bright). It is named after the 24th chemical element.

			== Theory ==
			In the 17-limit, chromium has a comma basis {936/935, 1701/1700, 1716/1715, 2025/2023, 11016/11011}. The period of chromium is mapped to [[250/243]], and in this paradigm it is referred to as ''chromium quartertone''. In the 17-limit, the period is also represented by 35/34, which means that [[1701/1700]] is tempered out.

			Chromium has MOS scales of size 48, 72, and 120.

			=== 120-tone MOS ===
			The 120-tone MOS of chromium is notable because it has 3rd, 5th, 7th, and 11th harmonics within reach of 5 generators or less. In addition in higher limits, it also has [[17/13]] within the reach of two generators.

			The brightest mode has the pattern (LLsLs)x24, and in addition it's a very hard tuning, which means it sounds nothing like [[120edo]].

			A tuning where it's worth exploring chromium if one seeks large divisibility is [[480edo]], which is a [[Highly composite equal division#Largely composite numbers\|largely composite EDO]]. In this instance, the L step of 120-tone scale becomes equal to one step of [[80edo]], and s step maps to one step of the 480edo itself. In regular temperament theory, this is realized via the 480fgg val in the 17-limit.

			=== 250/243 as the porcupine comma ===
			Chromium reaches [[10/9]] in just one bright generator. As such, it reaches [[100/81]] in two, while simultaneously reaching [[6/5]] in two. Because every note is replicated 24 times around the octave, and 250/243 maps to the period, 6/5 occurs exactly one step of 24edo above two 10/9s.

FloraC: Changed redirect target from Fractional-octave temperaments#Chromium to Landscape microtemperaments#Chromium

2022-10-26T05:35:28Z

Changed redirect target from Fractional-octave temperaments#Chromium to Landscape microtemperaments#Chromium

← Older revision		Revision as of 05:35, 26 October 2022
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	#REDIRECT[[~~Fractional-octave temperaments~~#Chromium]]		#REDIRECT [[Landscape microtemperaments #Chromium]]

			[[Category:Temperaments]]
			[[Category:Landscape microtemperaments]]

Eliora: Redirected page to Fractional-octave temperaments#Chromium

2022-10-23T17:50:51Z

Redirected page to Fractional-octave temperaments#Chromium

New page

#REDIRECT[[Fractional-octave temperaments#Chromium]]