Pythagorean means - Revision history

Fredg999 category edits: Removing from Category:Overview using Cat-a-lot

2023-03-06T22:14:11Z

Removing from Category:Overview using Cat-a-lot

← Older revision		Revision as of 22:14, 6 March 2023
Line 13:		Line 13:
	[[Category:Terms]]		[[Category:Terms]]
	[[Category:Elementary math]]		[[Category:Elementary math]]
	~~[[Category:Overview]]~~

Fredg999 category edits: Moving from Category:Theory to Category:Pythagorean means using Cat-a-lot

2023-03-04T20:23:15Z

Moving from Category:Theory to Category:Pythagorean means using Cat-a-lot

← Older revision		Revision as of 20:23, 4 March 2023
Line 10:		Line 10:
	In math, the three means are known as arithmetic mean (AM), harmonic mean (HM), and geometric mean (GM) respectively. However, ''harmonic mean'' is said with respect to a length of string to be divided, and collides with the more common usage of ''harmonic'', which is said with respect to frequency. For fear of confusion, those terms are avoided and ''inverse-arithmetic mean'' is preferred instead.		In math, the three means are known as arithmetic mean (AM), harmonic mean (HM), and geometric mean (GM) respectively. However, ''harmonic mean'' is said with respect to a length of string to be divided, and collides with the more common usage of ''harmonic'', which is said with respect to frequency. For fear of confusion, those terms are avoided and ''inverse-arithmetic mean'' is preferred instead.

	[[Category:~~Theory~~]]		[[Category:Pythagorean means]]
	[[Category:Terms]]		[[Category:Terms]]
	[[Category:Elementary math]]		[[Category:Elementary math]]
	[[Category:Overview]]		[[Category:Overview]]

FloraC: Eliminate "logarithmic mean" since it's in conflict

2023-03-03T18:21:21Z

Eliminate "logarithmic mean" since it's in conflict

← Older revision		Revision as of 18:21, 3 March 2023
Line 4:		Line 4:
	* [[Arithmetic mean]]		* [[Arithmetic mean]]
	* [[Inverse-arithmetic mean]]		* [[Inverse-arithmetic mean]]
	* [[~~Logarithmic~~ mean]]		* [[Geometric mean]]

	In microtonal terms, the arithmetic mean is the intermediate harmonic, the inverse-arithmetic mean is the intermediate <u>sub</u>harmonic, and the ~~logarithmic~~ mean is the equidistant pitch by cents. Thus the three means of 1/1 and 3/2 are 5/4, 6/5 and ~~square root~~ (3/2) respectively.		In microtonal terms, the arithmetic mean is the intermediate harmonic, the inverse-arithmetic mean is the intermediate <u>sub</u>harmonic, and the geometric mean is the equidistant pitch by cents. Thus the three means of 1/1 and 3/2 are 5/4, 6/5, and sqrt (3/2), respectively.

	In math, the three means are known as arithmetic mean (AM), harmonic mean (HM), and geometric mean (GM) respectively. However, ''harmonic mean'' is said with respect to a length of string to be divided, and collides with the more common usage of ''harmonic'', which is said with respect to frequency. For fear of confusion, those terms are avoided and ''inverse-arithmetic mean'' is preferred instead.		In math, the three means are known as arithmetic mean (AM), harmonic mean (HM), and geometric mean (GM) respectively. However, ''harmonic mean'' is said with respect to a length of string to be divided, and collides with the more common usage of ''harmonic'', which is said with respect to frequency. For fear of confusion, those terms are avoided and ''inverse-arithmetic mean'' is preferred instead.

TallKite: added a summary and an example

2023-03-03T06:36:47Z

added a summary and an example

← Older revision		Revision as of 06:36, 3 March 2023
Line 3:		Line 3:
	'''Pythagorean means''' comprise:		'''Pythagorean means''' comprise:
	* [[Arithmetic mean]]		* [[Arithmetic mean]]
			* [[Inverse-arithmetic mean]]
	* [[Logarithmic mean]]		* [[Logarithmic mean]]
	* [[Inverse-arithmetic mean]]

	In math, ~~they~~ are known as arithmetic mean (AM), ~~geometric~~ mean (GM), and ~~harmonic~~ mean (HM), respectively. However, ''harmonic mean'' is said with respect to a length of string to be divided, and collides with the more common usage of ''harmonic'', which is said with respect to frequency. For fear of confusion, those terms are avoided and ''inverse-arithmetic mean'' is preferred instead.		In microtonal terms, the arithmetic mean is the intermediate harmonic, the inverse-arithmetic mean is the intermediate <u>sub</u>harmonic, and the logarithmic mean is the equidistant pitch by cents. Thus the three means of 1/1 and 3/2 are 5/4, 6/5 and square root (3/2) respectively.

			In math, the three means are known as arithmetic mean (AM), harmonic mean (HM), and geometric mean (GM) respectively. However, ''harmonic mean'' is said with respect to a length of string to be divided, and collides with the more common usage of ''harmonic'', which is said with respect to frequency. For fear of confusion, those terms are avoided and ''inverse-arithmetic mean'' is preferred instead.

	[[Category:Theory]]		[[Category:Theory]]

FloraC: Created page with "{{Wikipedia| Pythagorean means }} '''Pythagorean means''' comprise: * Arithmetic mean * Logarithmic mean * Inverse-arithmetic mean In math, they are known as ar..."

2023-03-02T16:15:06Z

Created page with "{{Wikipedia| Pythagorean means }} '''Pythagorean means''' comprise: * Arithmetic mean * Logarithmic mean * Inverse-arithmetic mean In math, they are known as ar..."

New page

{{Wikipedia| Pythagorean means }}

'''Pythagorean means''' comprise:
* [[Arithmetic mean]]
* [[Logarithmic mean]]
* [[Inverse-arithmetic mean]]

In math, they are known as arithmetic mean (AM), geometric mean (GM), and harmonic mean (HM), respectively. However, ''harmonic mean'' is said with respect to a length of string to be divided, and collides with the more common usage of ''harmonic'', which is said with respect to frequency. For fear of confusion, those terms are avoided and ''inverse-arithmetic mean'' is preferred instead.

[[Category:Theory]]
[[Category:Terms]]
[[Category:Elementary math]]
[[Category:Overview]]