Talk:Interval span - Revision history

Dummy index: /* Huh? */

2024-12-12T13:49:21Z

Huh?

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	::: (Maybe fifthspan doesn't mean fifth-size span. Linear span...? If so, why do we need to define the linear subspace of rank-2 temperament, its dimension is already reduced? Or does "span" always mean "use this set of vectors as the basis?") --[[User:Dummy index\|Dummy index]] ([[User talk:Dummy index\|talk]]) 15:13, 24 December 2021 (UTC)		::: (Maybe fifthspan doesn't mean fifth-size span. Linear span...? If so, why do we need to define the linear subspace of rank-2 temperament, its dimension is already reduced? Or does "span" always mean "use this set of vectors as the basis?") --[[User:Dummy index\|Dummy index]] ([[User talk:Dummy index\|talk]]) 15:13, 24 December 2021 (UTC)

			::: Ah, span (v.) and subtend (v.) are used interchangeably on [[Constant structure]], and [[Glossary #S]], fifthspan may be "The number of fifths an interval subtends" (as one action of spanning). --[[User:Dummy index\|Dummy index]] ([[User talk:Dummy index\|talk]]) 13:49, 12 December 2024 (UTC)

Dummy index: /* Huh? */

2021-12-24T15:13:17Z

Huh?

← Older revision		Revision as of 15:13, 24 December 2021
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	:: Hello, I am not familiar with English mathematics terminology, [[Fifthspan]] is an example counting "spans", not measuring the size of span. You know, "multiple-span bridge" has one or more pier and spans the river bank and the pier, and spans further. They are easy to distinguish in writing; the span of 9/8 is 203.9 cents, and ~9/8 is +2 span of ~3/2. (This is an example of duality between tuning space and interval space?) So, is it particular technical term? --[[User:Dummy index\|Dummy index]] ([[User talk:Dummy index\|talk]]) 14:11, 23 December 2021 (UTC)		:: Hello, I am not familiar with English mathematics terminology, [[Fifthspan]] is an example counting "spans", not measuring the size of span. You know, "multiple-span bridge" has one or more pier and spans the river bank and the pier, and spans further. They are easy to distinguish in writing; the span of 9/8 is 203.9 cents, and ~9/8 is +2 span of ~3/2. (This is an example of duality between tuning space and interval space?) So, is it particular technical term? --[[User:Dummy index\|Dummy index]] ([[User talk:Dummy index\|talk]]) 14:11, 23 December 2021 (UTC)

			::: (Maybe fifthspan doesn't mean fifth-size span. Linear span...? If so, why do we need to define the linear subspace of rank-2 temperament, its dimension is already reduced? Or does "span" always mean "use this set of vectors as the basis?") --[[User:Dummy index\|Dummy index]] ([[User talk:Dummy index\|talk]]) 15:13, 24 December 2021 (UTC)

Mike Battaglia at 21:38, 23 December 2021

2021-12-23T21:38:14Z

← Older revision		Revision as of 21:38, 23 December 2021
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			== Moved ==
			These are all good points so I moved this to "Interval span" to clarify. [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 21:38, 23 December 2021 (UTC)

	== Huh? ==		== Huh? ==
	I expected ''span'' to be mainly this [[Wikipedia: Linear span]]. Why does the logarithmic interval size needs to take such a term? Who uses the term this way? [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 11:47, 22 December 2021 (UTC)		I expected ''span'' to be mainly this [[Wikipedia: Linear span]]. Why does the logarithmic interval size needs to take such a term? Who uses the term this way? [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 11:47, 22 December 2021 (UTC)

Mike Battaglia: Mike Battaglia moved page Talk:Span to Talk:Interval span

2021-12-23T21:33:59Z

Mike Battaglia moved page Talk:Span to Talk:Interval span

← Older revision	Revision as of 21:33, 23 December 2021
(No difference)

Dummy index: /* Huh? */

2021-12-23T14:11:25Z

Huh?

← Older revision		Revision as of 14:11, 23 December 2021
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	:: I also wasn't familiar with this usage. But I could have used it five minutes ago when I was writing a comment on a page of Aura's. So I'll add it to my toolbelt, too. Thanks for writing this Mike. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 13:22, 22 December 2021 (UTC)		:: I also wasn't familiar with this usage. But I could have used it five minutes ago when I was writing a comment on a page of Aura's. So I'll add it to my toolbelt, too. Thanks for writing this Mike. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 13:22, 22 December 2021 (UTC)

			:: Hello, I am not familiar with English mathematics terminology, [[Fifthspan]] is an example counting "spans", not measuring the size of span. You know, "multiple-span bridge" has one or more pier and spans the river bank and the pier, and spans further. They are easy to distinguish in writing; the span of 9/8 is 203.9 cents, and ~9/8 is +2 span of ~3/2. (This is an example of duality between tuning space and interval space?) So, is it particular technical term? --[[User:Dummy index\|Dummy index]] ([[User talk:Dummy index\|talk]]) 14:11, 23 December 2021 (UTC)

Cmloegcmluin at 13:22, 22 December 2021

2021-12-22T13:22:36Z

← Older revision		Revision as of 13:22, 22 December 2021
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	: I use the term this way, and so do plenty of pages on this wiki from people like Gene and etc. Note the usage of span on https://en.xen.wiki/w/Generator_complexity, https://en.xen.wiki/w/Harmonic, https://en.xen.wiki/w/Hypopent, and many others, all referring to the span of an interval in this way. If you want to add additional meanings feel free; I added a note that it's also used to refer to the span of a set of vectors. [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 12:41, 22 December 2021 (UTC)		: I use the term this way, and so do plenty of pages on this wiki from people like Gene and etc. Note the usage of span on https://en.xen.wiki/w/Generator_complexity, https://en.xen.wiki/w/Harmonic, https://en.xen.wiki/w/Hypopent, and many others, all referring to the span of an interval in this way. If you want to add additional meanings feel free; I added a note that it's also used to refer to the span of a set of vectors. [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 12:41, 22 December 2021 (UTC)

			:: I was surprised when I saw this too, reconnecting to the internet after a long flight yesterday, because while I was on the plane I had taken a note to self to eventually add an article to the wiki about linear span, in order to extract some of the preliminaries I needed to cover in my recent article on [[linear dependence]] in RTT. So I will probably do that soon, and I'll make sure it gets along with this page well when I do.

			:: I also wasn't familiar with this usage. But I could have used it five minutes ago when I was writing a comment on a page of Aura's. So I'll add it to my toolbelt, too. Thanks for writing this Mike. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 13:22, 22 December 2021 (UTC)

Mike Battaglia at 12:42, 22 December 2021

2021-12-22T12:42:25Z

← Older revision		Revision as of 12:42, 22 December 2021
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	I expected ''span'' to be mainly this [[Wikipedia: Linear span]]. Why does the logarithmic interval size needs to take such a term? Who uses the term this way? [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 11:47, 22 December 2021 (UTC)		I expected ''span'' to be mainly this [[Wikipedia: Linear span]]. Why does the logarithmic interval size needs to take such a term? Who uses the term this way? [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 11:47, 22 December 2021 (UTC)

	: I use the term this way, and so do plenty of pages on this wiki from people like Gene and etc. Note the usage of span on https://en.xen.wiki/w/Generator_complexity, https://en.xen.wiki/w/Harmonic, https://en.xen.wiki/w/Hypopent, all referring to the span of an interval in this way. If you want to add additional meanings feel free. [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 12:41, 22 December 2021 (UTC)		: I use the term this way, and so do plenty of pages on this wiki from people like Gene and etc. Note the usage of span on https://en.xen.wiki/w/Generator_complexity, https://en.xen.wiki/w/Harmonic, https://en.xen.wiki/w/Hypopent, and many others, all referring to the span of an interval in this way. If you want to add additional meanings feel free; I added a note that it's also used to refer to the span of a set of vectors. [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 12:41, 22 December 2021 (UTC)

Mike Battaglia: /* Huh? */

2021-12-22T12:41:02Z

Huh?

← Older revision		Revision as of 12:41, 22 December 2021
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	== Huh? ==		== Huh? ==
	I expected ''span'' to be mainly this [[Wikipedia: Linear span]]. Why does the logarithmic interval size needs to take such a term? Who uses the term this way? [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 11:47, 22 December 2021 (UTC)		I expected ''span'' to be mainly this [[Wikipedia: Linear span]]. Why does the logarithmic interval size needs to take such a term? Who uses the term this way? [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 11:47, 22 December 2021 (UTC)

			: I use the term this way, and so do plenty of pages on this wiki from people like Gene and etc. Note the usage of span on https://en.xen.wiki/w/Generator_complexity, https://en.xen.wiki/w/Harmonic, https://en.xen.wiki/w/Hypopent, all referring to the span of an interval in this way. If you want to add additional meanings feel free. [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 12:41, 22 December 2021 (UTC)

FloraC: Created page with "== Huh? == I expected ''span'' to be mainly this Wikipedia: Linear span. Why does the logarithmic interval size needs to take such a term? Who uses the term this way? ~~~~"

2021-12-22T11:47:21Z

Created page with "== Huh? == I expected ''span'' to be mainly this Wikipedia: Linear span. Why does the logarithmic interval size needs to take such a term? Who uses the term this way? ~~~~"

New page

== Huh? ==
I expected ''span'' to be mainly this [[Wikipedia: Linear span]]. Why does the logarithmic interval size needs to take such a term? Who uses the term this way? [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 11:47, 22 December 2021 (UTC)