Talk:Combination product set - Revision history

VectorGraphics: /* Rewrite in terms of music */ new section

2025-11-24T04:01:14Z

Rewrite in terms of music: new section

← Older revision		Revision as of 04:01, 24 November 2025
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			== Rewrite in terms of music ==

			What are k, n, etc, all that? And what are the results in terms of musical notes? Explain on the page. -- [[User:VectorGraphics\|VectorGraphics]] ([[User talk:VectorGraphics\|talk]]) 04:01, 24 November 2025 (UTC)

Fredg999: Fredg999 moved page Talk:Combination product sets to Talk:Combination product set: Singular title by convention

2021-08-07T17:01:19Z

Fredg999 moved page Talk:Combination product sets to Talk:Combination product set: Singular title by convention

← Older revision	Revision as of 17:01, 7 August 2021
(No difference)

Mike Battaglia: 1 revision imported: Moving archived Wikispaces discussion to subpage

2018-10-01T18:02:34Z

1 revision imported: Moving archived Wikispaces discussion to subpage

← Older revision	Revision as of 18:02, 1 October 2018
(No difference)

WikispacesArchive>Mike Battaglia: Text replacement - "'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''" to "'''All discussion below is archived from the Wikispaces export in its original unaltered form.''' ''...

2018-10-01T18:01:16Z

Text replacement - "'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''" to "'''All discussion below is archived from the Wikispaces export in its original unaltered form.''' <span style="color:#800000">''...

← Older revision		Revision as of 18:01, 1 October 2018
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	~~= ARCHIVED WIKISPACES DISCUSSION BELOW =~~		{{WSArchiveLink}}
	~~'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''~~

	~~<span style="color:#800000">'''PLEASE MAKE ANY NEW COMMENTS <u>ABOVE</u> THIS SECTION.'''</span> Anything below here is for archival purposes only.~~

	~~----~~

	~~== What does the variable "n" mean? ==~~
	~~Midway down the page:~~

	"This is sometimes called a k)n cps. There are special names for special cases: a 2)4 cps is called a hexany; both 2)5 and 3)5 cps are called dekanies; both 2)6 and 4)6 cps are called pentadekanies, and a 3)6 cps an eikosany. These are normally considered in connection with just intonation, so that the starting set is a set of positive rational numbers, but nothing prevents consideration of the more general case."

	k)n is related to the notation CPS(S,k) earlier in the page. I assume that n is some kind of shorthand for S. To turn k)n into CPS(S,k), we have to somehow turn n into S. I assume that S is the set of all primes and their reciprocals up to the nth prime, or something like that?

	~~- '''mbattaglia1''' October 29, 2011, 08:14:28 PM UTC-0700~~
	~~----~~

Mike Battaglia: Text replacement - "'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''" to "'''All discussion below is archived from the Wikispaces export in its original unaltered form.''' ''...

2018-09-20T07:00:45Z

← Older revision		Revision as of 07:00, 20 September 2018
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	= ARCHIVED WIKISPACES DISCUSSION BELOW =		= ARCHIVED WIKISPACES DISCUSSION BELOW =
	'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''		'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''

			<span style="color:#800000">'''PLEASE MAKE ANY NEW COMMENTS <u>ABOVE</u> THIS SECTION.'''</span> Anything below here is for archival purposes only.

	----		----

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.'''
----

== What does the variable "n" mean? ==
Midway down the page:

"This is sometimes called a k)n cps. There are special names for special cases: a 2)4 cps is called a hexany; both 2)5 and 3)5 cps are called dekanies; both 2)6 and 4)6 cps are called pentadekanies, and a 3)6 cps an eikosany. These are normally considered in connection with just intonation, so that the starting set is a set of positive rational numbers, but nothing prevents consideration of the more general case."

k)n is related to the notation CPS(S,k) earlier in the page. I assume that n is some kind of shorthand for S. To turn k)n into CPS(S,k), we have to somehow turn n into S. I assume that S is the set of all primes and their reciprocals up to the nth prime, or something like that?

- '''mbattaglia1''' October 29, 2011, 08:14:28 PM UTC-0700
----