Talk:Tenney norm - Revision history

Sintel: Sintel moved page Talk:Tenney height to Talk:Tenney norm: per discussion

2025-05-03T21:00:11Z

Sintel moved page Talk:Tenney height to Talk:Tenney norm: per discussion

← Older revision	Revision as of 21:00, 3 May 2025
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Fredg999: /* Move to Tenney norm */ Re

2025-04-30T21:53:44Z

Move to Tenney norm: Re

← Older revision		Revision as of 21:53, 30 April 2025
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	: Agreed. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 19:46, 30 April 2025 (UTC)		: Agreed. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 19:46, 30 April 2025 (UTC)
			: Agreed. If "norm" is more commonly used than "harmonic distance" (for the Tenney case but also in general), then "norm" should be given priority despite Tenney calling it "harmonic distance". --[[User:Fredg999\|Fredg999]] ([[User talk:Fredg999\|talk]]) 21:53, 30 April 2025 (UTC)

Cmloegcmluin: /* Move to Tenney norm */

2025-04-30T19:46:58Z

Move to Tenney norm

← Older revision		Revision as of 19:46, 30 April 2025
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	For this reason, the title should be either "Tenney norm", or "Tenney harmonic distance", because that's what it was called originally.		For this reason, the title should be either "Tenney norm", or "Tenney harmonic distance", because that's what it was called originally.
	– [[User:Sintel\|Sintel🎏]] ([[User_talk:Sintel\|talk]]) 18:18, 30 April 2025 (UTC)		– [[User:Sintel\|Sintel🎏]] ([[User_talk:Sintel\|talk]]) 18:18, 30 April 2025 (UTC)

			: Agreed. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 19:46, 30 April 2025 (UTC)

Sintel at 18:18, 30 April 2025

2025-04-30T18:18:02Z

← Older revision		Revision as of 18:18, 30 April 2025
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			== Move to Tenney norm ==

			This complexity is defined as a norm, which is (mostly) a stronger condition than being a height function.
			In fact, the whole reason it is useful is because it is a norm, not a height.
			For this reason, the title should be either "Tenney norm", or "Tenney harmonic distance", because that's what it was called originally.
			– [[User:Sintel\|Sintel🎏]] ([[User_talk:Sintel\|talk]]) 18:18, 30 April 2025 (UTC)

Xenwolf: Xenwolf moved page Talk:Tenney Height to Talk:Tenney height: Rule: only first letter capitalized. Reason: less typing when referenced

2020-06-04T07:34:08Z

Xenwolf moved page Talk:Tenney Height to Talk:Tenney height: Rule: only first letter capitalized. Reason: less typing when referenced

← Older revision	Revision as of 07:34, 4 June 2020
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Mike Battaglia: 1 revision imported: Moving archived Wikispaces discussion to subpage

2018-10-01T18:02:43Z

1 revision imported: Moving archived Wikispaces discussion to subpage

← Older revision	Revision as of 18:02, 1 October 2018
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Wikispaces>FREEZE at 18:01, 1 October 2018

2018-10-01T18:01:16Z

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	~~= ARCHIVED WIKISPACES DISCUSSION BELOW =~~		{{WSArchiveLink}}
	~~'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''~~
	~~----~~

	~~== Contradiction ==~~
	~~http://www.plainsound.org/pdfs/JC&ToH.pdf gives Tenney's "harmonic distance" as~~

	~~<ul class="quotelist"><li>HD(fa, fb) ∝ log(a) + log(b) = log(ab)</li></ul>~~

	~~where a/b is the frequency ratio fa/fb in simplified form:~~

	~~<ul class="quotelist"><li>a = fa /gcd(fa, fb), b = fb /gcd(fa, fb), and a ≥ b</li></ul>~~

	~~http://lumma.org/tuning/faq/#heights defines it as sqrt(n*d), which is not the same.~~

	~~sqrt(100*7) = 26.45~~

	~~log2(100*7) = 9.45~~

	~~- '''Omegatron''' September 11, 2014, 07:33:46 AM UTC-0700~~
	~~----~~
	~~Tenney harmonic distance is not Tenney height, which is the topic of this page. My FAQ defines Tenney height as ab. It says Tenney height is generalized* to geomean(abc...).~~

	~~On this wiki, a*b is called Benedetti height. The name was changed after my FAQ was written, since Benedetti had priority.~~

	~~- '''clumma''' February 06, 2015, 08:19:12 PM UTC-0800~~
	~~----~~

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

New page

= ARCHIVED WIKISPACES DISCUSSION BELOW =
'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
----

== Contradiction ==
http://www.plainsound.org/pdfs/JC&ToH.pdf gives Tenney's "harmonic distance" as

<ul class="quotelist"><li>HD(fa, fb) ∝ log(a) + log(b) = log(ab)</li></ul>

where a/b is the frequency ratio fa/fb in simplified form:

<ul class="quotelist"><li>a = fa /gcd(fa, fb), b = fb /gcd(fa, fb), and a ≥ b</li></ul>

http://lumma.org/tuning/faq/#heights defines it as sqrt(n*d), which is not the same.

sqrt(100*7) = 26.45

log2(100*7) = 9.45

- '''Omegatron''' September 11, 2014, 07:33:46 AM UTC-0700
----
Tenney *harmonic distance* is not Tenney *height*, which is the topic of this page. My FAQ defines Tenney height as a*b. It says Tenney height is *generalized* to geomean(a*b*c...).

On this wiki, a*b is called Benedetti height. The name was changed after my FAQ was written, since Benedetti had priority.

- '''clumma''' February 06, 2015, 08:19:12 PM UTC-0800
----