105/64 - Revision history

FloraC: Review math. Name change followup

2026-03-03T10:09:10Z

Review math. Name change followup

← Older revision		Revision as of 10:09, 3 March 2026
Line 3:		Line 3:
	\| Color name = zy6, zoyo 6th		\| Color name = zy6, zoyo 6th
	}}		}}
			'''105/64''' is a [[7-limit]] neutral sixth and is 857.095{{c}} wide. It might be called a septimal neutral sixth.

	~~'''105/64''' is a [[7-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.~~		When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048{{c}}, 1/7 of an [[akjaysma]]. In addition, it only differs from the large tridecimal neutral sixth ([[64/39]]) by [[4096/4095]]. When we also consider that 105/64 can be thought of as the [[octave reduction\|octave-reduced]] greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[harmonic]]s, though so far this idea has not been tested.

	When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the ~~[[Akjaysma\|~~difference between 5\7 and 105/64]] is 0.~~048¢~~. In addition, it only differs from the large tridecimal neutral sixth ([[64/39]]) by ~~a schismina (~~[[4096/4095]]). When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[harmonic]]s, though so far this idea has not been tested.

	== See also ==		== See also ==

Eliora: link

2023-09-03T13:37:53Z

link

← Older revision		Revision as of 13:37, 3 September 2023
Line 6:		Line 6:
	'''105/64''' is a [[7-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.		'''105/64''' is a [[7-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.

	When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048¢. In addition, it only differs from the large tridecimal neutral sixth ([[64/39]]) by a schismina ([[4096/4095]]). When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[harmonic]]s, though so far this idea has not been tested.		When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the [[Akjaysma\|difference between 5\7 and 105/64]] is 0.048¢. In addition, it only differs from the large tridecimal neutral sixth ([[64/39]]) by a schismina ([[4096/4095]]). When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[harmonic]]s, though so far this idea has not been tested.

	== See also ==		== See also ==

Plumtree: Normalising usage of Infobox Interval

2022-10-25T13:59:42Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 13:59, 25 October 2022
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 105/64~~
	~~\| Monzo = -6 1 1 1~~
	~~\| Cents = 857.094621~~
	\| Name = septimal neutral sixth		\| Name = septimal neutral sixth
	\| Color name = zy6, zoyo 6th		\| Color name = zy6, zoyo 6th
	~~\| FJS name = M6<sup>35</sup>~~
	~~\| Sound =~~
	}}		}}

Line 16:		Line 11:
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:7-limit]]~~
	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Neutral sixth]]		[[Category:Neutral sixth]]
	~~[[Category:Octave-reduced harmonics]]~~

Fredg999: Reverted my change in the FJS name

2021-12-12T05:53:28Z

Reverted my change in the FJS name

← Older revision		Revision as of 05:53, 12 December 2021
Line 5:		Line 5:
	\| Name = septimal neutral sixth		\| Name = septimal neutral sixth
	\| Color name = zy6, zoyo 6th		\| Color name = zy6, zoyo 6th
	\| FJS name = M6<sup>~~5,7~~</sup>		\| FJS name = M6<sup>35</sup>
	\| Sound =		\| Sound =
	}}		}}

Fredg999: Order of color names

2021-12-12T05:43:32Z

Order of color names

← Older revision		Revision as of 05:43, 12 December 2021
Line 4:		Line 4:
	\| Cents = 857.094621		\| Cents = 857.094621
	\| Name = septimal neutral sixth		\| Name = septimal neutral sixth
	\| Color name = zoyo 6th~~, zy6~~		\| Color name = zy6, zoyo 6th
	\| FJS name = M6<sup>5,7</sup>		\| FJS name = M6<sup>5,7</sup>
	\| Sound =		\| Sound =

Fredg999: Categories

2021-12-12T05:00:35Z

Fredg999: Added color name, misc. edits, categories

2021-12-12T04:55:11Z

Added color name, misc. edits, categories

← Older revision		Revision as of 04:55, 12 December 2021
Line 4:		Line 4:
	\| Cents = 857.094621		\| Cents = 857.094621
	\| Name = septimal neutral sixth		\| Name = septimal neutral sixth
	\| FJS name = M6<sup>35</sup>		\| Color name = zoyo 6th, zy6
			\| FJS name = M6<sup>5,7</sup>
			\| Sound =
	}}		}}

	'''105/64''' is a 7-[[~~Prime limit\|prime~~-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.		'''105/64''' is a [[7-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.

	When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048¢. In addition, it only differs from the ~~[[64/39\|~~large tridecimal neutral sixth (64/39)]] by a [[4096/4095~~\|schismina (4096/4095)~~]]. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[harmonic]]s, though so far this idea has not been tested.		When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048¢. In addition, it only differs from the large tridecimal neutral sixth ([[64/39]]) by a schismina ([[4096/4095]]). When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[harmonic]]s, though so far this idea has not been tested.

	== See also ==		== See also ==
Line 15:		Line 17:

	[[Category:7-limit]]		[[Category:7-limit]]
	~~[[Category:Interval]]~~
	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Neutral sixth]]		[[Category:Neutral sixth]]
	[[Category:~~Overtone~~]]		[[Category:Harmonics]]

FloraC: Expansion

2021-03-18T11:51:44Z

Expansion

← Older revision		Revision as of 11:51, 18 March 2021
Line 9:		Line 9:
	'''105/64''' is a 7-[[Prime limit\|prime-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.		'''105/64''' is a 7-[[Prime limit\|prime-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.

	When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.~~048236¢~~. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[harmonic]]s, though so far this idea has not been tested.		When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048¢. In addition, it only differs from the [[64/39\|large tridecimal neutral sixth (64/39)]] by a [[4096/4095\|schismina (4096/4095)]]. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[harmonic]]s, though so far this idea has not been tested.

	== See also ==		== See also ==

FloraC: +FJS name; +links; +categories

2021-03-18T11:44:54Z

+FJS name; +links; +categories

← Older revision		Revision as of 11:44, 18 March 2021
Line 1:		Line 1:
	{{Infobox Interval\|Ratio=105/64\|Monzo=-6 1 1 1\|Cents=857.094621\|Name=septimal neutral sixth}}		{{Infobox Interval
			\| Ratio = 105/64
			\| Monzo = -6 1 1 1
			\| Cents = 857.094621
			\| Name = septimal neutral sixth
			\| FJS name = M6<sup>35</sup>
			}}

	'''105/64''' is a 7 [[Prime limit\|prime-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.		'''105/64''' is a 7-[[Prime limit\|prime-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.

	When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048236¢. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[~~Harmonic\|harmonics~~]], though so far this idea has not been tested.		When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048236¢. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[harmonic]]s, though so far this idea has not been tested.

			== See also ==
			* [[Gallery of just intervals]]

	~~[[Category:Just interval]]~~
	[[Category:7-limit]]		[[Category:7-limit]]
			[[Category:Interval]]
			[[Category:Sixth]]
			[[Category:Neutral sixth]]
			[[Category:Overtone]]

Awelotta at 17:18, 17 March 2021

2021-03-17T17:18:19Z

← Older revision		Revision as of 17:18, 17 March 2021
Line 4:		Line 4:

	When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048236¢. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[Harmonic\|harmonics]], though so far this idea has not been tested.		When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048236¢. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[Harmonic\|harmonics]], though so far this idea has not been tested.

			[[Category:Just interval]]
			[[Category:7-limit]]

← Older revision		Revision as of 05:00, 12 December 2021
Line 19:		Line 19:
	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Neutral sixth]]		[[Category:Neutral sixth]]
	[[Category:~~Harmonics~~]]		[[Category:Octave-reduced harmonics]]