127834/1 - Revision history

FloraC: Mark as novelty

2024-02-21T09:12:32Z

Mark as novelty

← Older revision		Revision as of 09:12, 21 February 2024
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			{{Novelty}}
	{{Infobox Interval		{{Infobox Interval
	\| Name = 127834th harmonic, 29-wood major 119th		\| Name = 127834th harmonic, 29-wood major 119th
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	* 261ed127834 - equivalent to [[Carlos Alpha]]		* 261ed127834 - equivalent to [[Carlos Alpha]]
	* 348ed127834 - equivalent to [[12edo]]		* 348ed127834 - equivalent to [[12edo]]

	== Trivia ==		== Trivia ==
	Prime numbers 23 and 397, having indices 9 and 78, are 69 prime numbers apart. Nice.		Prime numbers 23 and 397, having indices 9 and 78, are 69 prime numbers apart. Nice.

	== References ==		== References ==
	* ~~https://oeis.org/~~A081464		* {{OEIS\|A081464}}
	* ~~https://oeis.org/~~A267122		* {{OEIS\|A267122}}
	~~[[Category:Extreme]]~~

Francium: Added color name

2023-09-07T12:55:57Z

Added color name

← Older revision		Revision as of 12:55, 7 September 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = 127834th harmonic, 29-wood major 119th		\| Name = 127834th harmonic, 29-wood major 119th
			\| Color name = c<sup>16</sup>397o23oz9
	}}		}}
	127834/1, the '''127834th harmonic''', or '''29-wood supermajor 119th''', is 16 octaves above [[63917/32768]]. It is a part of 397-limit harmony, the 78th prime number.		127834/1, the '''127834th harmonic''', or '''29-wood supermajor 119th''', is 16 octaves above [[63917/32768]]. It is a part of 397-limit harmony, the 78th prime number.

Eliora at 15:17, 4 April 2023

2023-04-04T15:17:30Z

← Older revision		Revision as of 15:17, 4 April 2023
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	127834/1, the '''127834th harmonic''', or '''29-wood supermajor 119th''', is 16 octaves above [[63917/32768]]. It is a part of 397-limit harmony, the 78th prime number.		127834/1, the '''127834th harmonic''', or '''29-wood supermajor 119th''', is 16 octaves above [[63917/32768]]. It is a part of 397-limit harmony, the 78th prime number.

	The number appears in a sequence of fractional part of <math>1.5^n</math> decreasing monotonically to zero, meaning the sequence offers progressively closer approximations to repeated stacks of [[3/2]]. Indeed, this interval is close to a stack of perfect fifths by two parameters - both its fractional part decreases progressively, and it is also better than all the <math>1.5^k</math> for <math>0<k<29</math>. The difference between the ~~two~~ is 0.534 millicents, or 1 in 2.24 million parts of an octave.		The number appears in a sequence of fractional part of <math>1.5^n</math> decreasing monotonically to zero, meaning the sequence offers progressively closer approximations to repeated stacks of [[3/2]]. Indeed, this interval is close to a stack of perfect fifths by two parameters - both its fractional part decreases progressively, and it is also better than all the <math>1.5^k</math> for <math>0<k<29</math>. The difference between the stack of 29 perfect fifths and 127834/1, which is the [[68630377364883/68630356164608]] comma is 0.534 millicents, or 1 in 2.24 million parts of an octave.

	== Equal divisions of the 127834/1 ==		== Equal divisions of the 127834/1 ==

Plumtree: Normalising usage of Infobox Interval

2022-10-25T12:53:59Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:53, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 127834/1~~
	~~\| Monzo = 2 0 0 7 0<sup>4</sup> 23 0<sup>68</sup> 397~~
	~~\| Cents = 20356.6945~~
	\| Name = 127834th harmonic, 29-wood major 119th		\| Name = 127834th harmonic, 29-wood major 119th
	}}		}}

Eliora at 09:50, 28 December 2021

2021-12-28T09:50:05Z

← Older revision		Revision as of 09:50, 28 December 2021
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	The number appears in a sequence of fractional part of <math>1.5^n</math> decreasing monotonically to zero, meaning the sequence offers progressively closer approximations to repeated stacks of [[3/2]]. Indeed, this interval is close to a stack of perfect fifths by two parameters - both its fractional part decreases progressively, and it is also better than all the <math>1.5^k</math> for <math>0<k<29</math>. The difference between the two is 0.534 millicents, or 1 in 2.24 million parts of an octave.		The number appears in a sequence of fractional part of <math>1.5^n</math> decreasing monotonically to zero, meaning the sequence offers progressively closer approximations to repeated stacks of [[3/2]]. Indeed, this interval is close to a stack of perfect fifths by two parameters - both its fractional part decreases progressively, and it is also better than all the <math>1.5^k</math> for <math>0<k<29</math>. The difference between the two is 0.534 millicents, or 1 in 2.24 million parts of an octave.

			== Equal divisions of the 127834/1 ==
	For practical purposes, 127834/1 is too complex and too large to be used as an equivalence interval, being over 100 times larger than the human hearing range.		For practical purposes, 127834/1 is too complex and too large to be used as an equivalence interval, being over 100 times larger than the human hearing range.
			* 29ed127834 - corresponds to [[Pythagorean tuning]]
			* 261ed127834 - equivalent to [[Carlos Alpha]]
			* 348ed127834 - equivalent to [[12edo]]
	== Trivia ==		== Trivia ==
	Prime numbers 23 and 397, having indices 9 and 78, are 69 prime numbers apart. Nice.		Prime numbers 23 and 397, having indices 9 and 78, are 69 prime numbers apart. Nice.

Eliora at 09:47, 28 December 2021

2021-12-28T09:47:36Z

← Older revision		Revision as of 09:47, 28 December 2021
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	* https://oeis.org/A081464		* https://oeis.org/A081464
	* https://oeis.org/A267122		* https://oeis.org/A267122
			[[Category:Extreme]]

Eliora at 09:46, 28 December 2021

2021-12-28T09:46:38Z

← Older revision		Revision as of 09:46, 28 December 2021
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	\| Name = 127834th harmonic, 29-wood major 119th		\| Name = 127834th harmonic, 29-wood major 119th
	}}		}}
	127834/1, the '''127834th harmonic''', or '''29-wood ~~major~~ 119th''', is 16 octaves above [[63917/32768]]. It is a part of 397-limit harmony, the 78th prime number.		127834/1, the '''127834th harmonic''', or '''29-wood supermajor 119th''', is 16 octaves above [[63917/32768]]. It is a part of 397-limit harmony, the 78th prime number.

	The number appears in a sequence of fractional part of <math>1.5^n</math> decreasing monotonically to zero, meaning the sequence offers progressively closer approximations to repeated stacks of [[3/2]]. Indeed, this interval is close to a stack of perfect fifths by two parameters - both its fractional part decreases progressively, and it is also better than all the <math>1.5^k</math> for <math>0<k<29</math>. The difference between the two is 0.534 millicents, or 1 in 2.24 million parts of an octave.		The number appears in a sequence of fractional part of <math>1.5^n</math> decreasing monotonically to zero, meaning the sequence offers progressively closer approximations to repeated stacks of [[3/2]]. Indeed, this interval is close to a stack of perfect fifths by two parameters - both its fractional part decreases progressively, and it is also better than all the <math>1.5^k</math> for <math>0<k<29</math>. The difference between the two is 0.534 millicents, or 1 in 2.24 million parts of an octave.

Eliora: Created page with "{{Infobox Interval | Ratio = 127834/1 | Monzo = 2 0 0 7 0⁴ 23 0⁶⁸ 397 | Cents = 20356.6945 | Name = 127834th harmonic, 29-wood major 119th }} 127834/1, t..."

2021-12-28T09:45:54Z

Created page with "{{Infobox Interval | Ratio = 127834/1 | Monzo = 2 0 0 7 04 23 068 397 | Cents = 20356.6945 | Name = 127834th harmonic, 29-wood major 119th }} 127834/1, t..."

New page

{{Infobox Interval
| Ratio = 127834/1
| Monzo = 2 0 0 7 04 23 068 397
| Cents = 20356.6945
| Name = 127834th harmonic, 29-wood major 119th
}}
127834/1, the '''127834th harmonic''', or '''29-wood major 119th''', is 16 octaves above [[63917/32768]]. It is a part of 397-limit harmony, the 78th prime number.

The number appears in a sequence of fractional part of <math>1.5^n</math> decreasing monotonically to zero, meaning the sequence offers progressively closer approximations to repeated stacks of [[3/2]]. Indeed, this interval is close to a stack of perfect fifths by two parameters - both its fractional part decreases progressively, and it is also better than all the <math>1.5^k</math> for <math>0<k<29</math>. The difference between the two is 0.534 millicents, or 1 in 2.24 million parts of an octave.

For practical purposes, 127834/1 is too complex and too large to be used as an equivalence interval, being over 100 times larger than the human hearing range.

== Trivia ==
Prime numbers 23 and 397, having indices 9 and 78, are 69 prime numbers apart. Nice.
== References ==
* https://oeis.org/A081464
* https://oeis.org/A267122