Talk:Interval span: Difference between revisions

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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? ==

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)

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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)

::: (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)

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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? ==
 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)
@@ Line 9: / Line 12: @@
 :: 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)
+::: 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)