Talk:Interval span

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These are all good points so I moved this to "Interval span" to clarify. Mike Battaglia (talk) 21:38, 23 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? 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,,, 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. 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. --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? --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?") --Dummy index (talk) 15:13, 24 December 2021 (UTC)