Copper comma - Revision history

BudjarnLambeth at 12:18, 3 November 2024

2024-11-03T12:18:26Z

← Older revision		Revision as of 12:18, 3 November 2024
Line 12:		Line 12:
	A circle of 29 of the sharpened fifths equal to 98415/65536 (monzo: {{monzo\|-16 9 1}}), differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2. Notably, in the case of copper, the comma which sharpens the fifth to be close to 29edo's is still the [[schisma]], 32805/32768.		A circle of 29 of the sharpened fifths equal to 98415/65536 (monzo: {{monzo\|-16 9 1}}), differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2. Notably, in the case of copper, the comma which sharpens the fifth to be close to 29edo's is still the [[schisma]], 32805/32768.

	[[Category:Commas ~~with unknown etymology~~]]		[[Category:Commas named after elements]]

BudjarnLambeth at 12:05, 3 November 2024

2024-11-03T12:05:03Z

← Older revision		Revision as of 12:05, 3 November 2024
Line 11:		Line 11:

	A circle of 29 of the sharpened fifths equal to 98415/65536 (monzo: {{monzo\|-16 9 1}}), differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2. Notably, in the case of copper, the comma which sharpens the fifth to be close to 29edo's is still the [[schisma]], 32805/32768.		A circle of 29 of the sharpened fifths equal to 98415/65536 (monzo: {{monzo\|-16 9 1}}), differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2. Notably, in the case of copper, the comma which sharpens the fifth to be close to 29edo's is still the [[schisma]], 32805/32768.

			[[Category:Commas with unknown etymology]]

Francium: Added color name

2023-09-08T04:48:56Z

Added color name

← Older revision		Revision as of 04:48, 8 September 2023
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	\|Monzo = -481 261 29		\|Monzo = -481 261 29
	\|Name = copper comma		\|Name = copper comma
			\|Color name = L<sup>41</sup>y<sup>29</sup>-33, fowela-theneyo negative 33rd
	\|FJS name = -		\|FJS name = -
	\|Comma = yes		\|Comma = yes

Eliora: /* Temperaments */

2023-06-15T12:09:40Z

Temperaments

← Older revision		Revision as of 12:09, 15 June 2023
Line 7:		Line 7:
	'''Copper comma''', or alternately '''29-atom''' is a 5-limit comma which is to [[29edo]] as is the Kirnberger's atom is to [[12edo]].		'''Copper comma''', or alternately '''29-atom''' is a 5-limit comma which is to [[29edo]] as is the Kirnberger's atom is to [[12edo]].
	==Temperaments==		==Temperaments==
	Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo.		Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo. See: [[29th-octave temperaments#Copper]].

	A circle of 29 of the sharpened fifths equal to 98415/65536 (monzo: {{monzo\|-16 9 1}}), differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2. Notably, in the case of copper, the comma which sharpens the fifth to be close to 29edo's is still the [[schisma]], 32805/32768.		A circle of 29 of the sharpened fifths equal to 98415/65536 (monzo: {{monzo\|-16 9 1}}), differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2. Notably, in the case of copper, the comma which sharpens the fifth to be close to 29edo's is still the [[schisma]], 32805/32768.

Eliora: /* Temperaments */

2023-05-18T23:34:04Z

Temperaments

← Older revision		Revision as of 23:34, 18 May 2023
Line 9:		Line 9:
	Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo.		Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo.

	A circle of 29 of the sharpened fifths equal to {{monzo\|-16 9 1}}, differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2.		A circle of 29 of the sharpened fifths equal to 98415/65536 (monzo: {{monzo\|-16 9 1}}), differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2. Notably, in the case of copper, the comma which sharpens the fifth to be close to 29edo's is still the [[schisma]], 32805/32768.

Eliora: /* Temperaments */ this is indeed the correct fifth and it works out

2023-05-18T23:32:08Z

Temperaments: this is indeed the correct fifth and it works out

← Older revision		Revision as of 23:32, 18 May 2023
Line 9:		Line 9:
	Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo.		Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo.

	A circle of 29 of the sharpened fifths equal to {{monzo\|~~535 -324~~ -9}}, differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2.		A circle of 29 of the sharpened fifths equal to {{monzo\|-16 9 1}}, differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2.

Eliora: /* Temperaments */

2023-04-23T22:37:58Z

Temperaments

← Older revision		Revision as of 22:37, 23 April 2023
Line 9:		Line 9:
	Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo.		Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo.

	A circle of 29 of the sharpened fifths equal to {{monzo\|-~~537~~ -~~326~~ 9}}, differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2~~. The tiny interval between the two, {{monzo\|-536 325 9}} can be called [[29-schisma]]~~.		A circle of 29 of the sharpened fifths equal to {{monzo\|535 -324 -9}}, differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2.

Eliora: okay if this is wrong i'm going to need help but vector arithmetic should check out

2023-04-23T22:35:25Z

okay if this is wrong i'm going to need help but vector arithmetic should check out

← Older revision		Revision as of 22:35, 23 April 2023
Line 2:		Line 2:
	\|Monzo = -481 261 29		\|Monzo = -481 261 29
	\|Name = copper comma		\|Name = copper comma
			\|FJS name = -
	\|Comma = yes		\|Comma = yes
	}}		}}
	'''Copper comma''', or alternately '''29-atom''' is a 5-limit comma which is to [[29edo]] as is the Kirnberger's atom is to [[12edo]].		'''Copper comma''', or alternately '''29-atom''' is a 5-limit comma which is to [[29edo]] as is the Kirnberger's atom is to [[12edo]].
	==Temperaments==		==Temperaments==
	Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo. A circle of 29 of the ~~flattened~~ fifths ~~amounting~~ to ~~17 periods~~, differs from 17 octaves by the copper comma.		Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo.

			A circle of 29 of the sharpened fifths equal to {{monzo\|-537 -326 9}}, differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2. The tiny interval between the two, {{monzo\|-536 325 9}} can be called [[29-schisma]].

Eliora: Created page with "{{Infobox Interval |Monzo = -481 261 29 |Name = copper comma |Comma = yes }} '''Copper comma''', or alternately '''29-atom''' is a 5-limit comma which is to 29edo as is th..."

2023-03-19T20:27:15Z

Created page with "{{Infobox Interval |Monzo = -481 261 29 |Name = copper comma |Comma = yes }} '''Copper comma''', or alternately '''29-atom''' is a 5-limit comma which is to 29edo as is th..."

New page

{{Infobox Interval
|Monzo = -481 261 29
|Name = copper comma
|Comma = yes
}}
'''Copper comma''', or alternately '''29-atom''' is a 5-limit comma which is to [[29edo]] as is the Kirnberger's atom is to [[12edo]].
==Temperaments==
Tempering it out results in the rank-2 '''copper''' temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as [[atomic]] does to 12edo. A circle of 29 of the flattened fifths amounting to 17 periods, differs from 17 octaves by the copper comma.