71/40 - Revision history

Plumtree: Normalising usage of Infobox Interval

2022-10-25T16:49:31Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:49, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 71/40~~
	~~\| Monzo = -3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1~~
	~~\| Cents = 993.382829541~~
	\| Name = harmonic/just minor seventh meantone		\| Name = harmonic/just minor seventh meantone
	\| Color name = 71oy7		\| Color name = 71oy7
	~~\| FJS name = m7<sup>71</sup><sub>5</sub>~~
	}}		}}

	In Just Intonation, '''71/40''' is the frequency ratio between the 71th and the 40th harmonic.		In Just Intonation, '''71/40''' is the frequency ratio between the 71th and the 40th harmonic.

	It is the mean between the [[7/4\|harmonic seventh]] and the [[9/5\|just minor seventh]]: (7/4 + 9/5)/2 = 71/40.		It is the mean between the [[7/4\|harmonic seventh]] and the [[9/5\|just minor seventh]]: (7/4 + 9/5)/2 = 71/40.

	~~Its factorization into primes is 2<sup>-3</sup> ⋅ 5<sup>−1</sup> ⋅ 71~~.

Arseniiv: small fixes

2020-11-07T23:49:26Z

small fixes

← Older revision		Revision as of 23:49, 7 November 2020
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 71/40		\| Ratio = 71/40
	\| Monzo = -3,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1		\| Monzo = -3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
	\| Cents = 993.382829541		\| Cents = 993.382829541
	\| Name = harmonic/just minor seventh meantone		\| Name = harmonic/just minor seventh meantone
	\| Color name = 71oy7		\| Color name = 71oy7
			\| FJS name = m7<sup>71</sup><sub>5</sub>
	}}		}}

	In Just Intonation, 71/40 is the frequency ratio between the 71th and the 40th harmonic.		In Just Intonation, '''71/40''' is the frequency ratio between the 71th and the 40th harmonic.

	It is the mean between the [[7/4\|harmonic seventh]] and the [[9/5\|just minor seventh]]: (7/4 + 9/5)/2 = 71/40.		It is the mean between the [[7/4\|harmonic seventh]] and the [[9/5\|just minor seventh]]: (7/4 + 9/5)/2 = 71/40.

			Its factorization into primes is 2<sup>-3</sup> ⋅ 5<sup>−1</sup> ⋅ 71.
	Its factorization into primes is 2<sup>-3</sup>⋅5<sup>-1</sup>~~⋅71; its FJS name is m7<sup>~~71~~</sup><sub>5</sub>~~.

Contribution at 12:42, 12 June 2020

2020-06-12T12:42:28Z

← Older revision		Revision as of 12:42, 12 June 2020
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	It is the mean between the [[7/4\|harmonic seventh]] and the [[9/5\|just minor seventh]]: (7/4 + 9/5)/2 = 71/40.		It is the mean between the [[7/4\|harmonic seventh]] and the [[9/5\|just minor seventh]]: (7/4 + 9/5)/2 = 71/40.



	Its factorization into primes is 2<sup>-3</sup>⋅5<sup>-1</sup>⋅71; its FJS name is m7<sup>71</sup><sub>5</sub>.		Its factorization into primes is 2<sup>-3</sup>⋅5<sup>-1</sup>⋅71; its FJS name is m7<sup>71</sup><sub>5</sub>.

Contribution: Created page with "{{Infobox Interval | Ratio = 71/40 | Monzo = -3,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 | Cents = 993.382829541 | Name = harmonic/just minor seventh meantone | Color name = 71o..."

2020-06-12T12:14:29Z

Created page with "{{Infobox Interval | Ratio = 71/40 | Monzo = -3,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 | Cents = 993.382829541 | Name = harmonic/just minor seventh meantone | Color name = 71o..."

New page

{{Infobox Interval
| Ratio = 71/40
| Monzo = -3,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
| Cents = 993.382829541
| Name = harmonic/just minor seventh meantone
| Color name = 71oy7
}}

In Just Intonation, 71/40 is the frequency ratio between the 71th and the 40th harmonic.

It is the mean between the [[7/4|harmonic seventh]] and the [[9/5|just minor seventh]]: (7/4 + 9/5)/2 = 71/40.

Its factorization into primes is 2-3⋅5-1⋅71; its FJS name is m7715.