Talk:Odd limit - Revision history

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

2018-10-01T18:02:41Z

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WikispacesArchive>Mike Battaglia: not sure

2018-10-01T18:01:16Z

not sure

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	What would be the counterpart of odd limit for tritave equivalence named?		What would be the counterpart of odd limit for tritave equivalence named?

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	: Good question. I don't think there's a name for it. What would you like to call it? Mod-3 limit? [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 21:10, 27 September 2018 (UTC)		: Good question. I don't think there's a name for it. What would you like to call it? Mod-3 limit? [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 21:10, 27 September 2018 (UTC)

	~~= ARCHIVED WIKISPACES DISCUSSION BELOW =~~
	~~'''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.~~

	~~----~~

	~~== Confused ==~~
	~~"but not 11/9 (11 is a prime greater than 9) nor 15/7 (since 15 is 3*5, both leas then 9, but with product greater than 9)"~~

	~~Ok, so what odd limit are these? 11/9 is 11 odd-limit? 15/7 is 15 odd-limit?~~

	~~Is 3/1 in 3 odd-limit?~~

	~~is 12/1 in 3 odd-limit?~~

	~~is 10/3 in 3 odd-limit or 5 odd-limit?~~

	~~- '''Omegatron''' September 02, 2014, 06:48:54 AM UTC-0700~~
	~~----~~
	~~and why does the primeness of 11 in 11/9 matter? the odd limit of 15/7 is 15 while the odd-limit of 11/7 is 11? so primeness is irrelevant?~~

	~~- '''Omegatron''' September 02, 2014, 06:57:49 AM UTC-0700~~
	~~----~~
	A distinction is made between prime limits (p-limits) and odd limits. As I understand it, odd limits define diamonds of intervals, whereas a prime limit defines the highest "dimension" of an interval space by dimensions (here is also a rank considered). I also think these definitions in this wiki could be improved.

	~~As for your actual questions, I think:~~

	~~3/1 is in 3 odd-limit and in the 3 p-limit~~

	~~12/1 is in the 13 odd-limit and in the 3 p-limit~~

	~~10/3 is in the 11 odd-limit and in the 5 p-limit~~

	~~- '''xenwolf''' September 02, 2014, 08:37:20 AM UTC-0700~~
	~~----~~
	~~I was wrong. As Wikipedia describes it, the factor 2 (and each of its powers) is irrelevant. So 12/1 should be in the 3 odd-limit and 10/3 in the 5 odd-limit.~~

	~~- '''xenwolf''' September 02, 2014, 08:41:38 AM UTC-0700~~
	~~----~~
	~~Ok so are these lists correct? They are generated from Calkin-Wilf sequence:~~

	~~1 prime-limit includes {1:1}~~

	~~2 prime-limit includes {1:1, 1:2, 2:1, 1:4, 4:1, 1:8, 8:1, 1:16, 16:1, ...}~~

	~~3 prime-limit includes {1:1, 1:2, 2:1, 1:3, 3:2, 2:3, 3:1, 1:4, 4:3, 3:4, 4:1, 3:8, 8:3, 1:6, 9:4, 9:2, 2:9, 4:9, 6:1, ...}~~

	~~5 prime-limit includes {1:1, 1:2, 2:1, 1:3, 3:2, 2:3, 3:1, 1:4, 4:3, 3:5, 5:2, 2:5, 5:3, 3:4, 4:1, 1:5, 5:4, 3:8, 8:5, ...}~~

	~~1 odd-limit includes {1:1, 1:2, 2:1, 1:4, 4:1, 1:8, 8:1, 1:16, 16:1, ...}~~

	~~3 odd-limit includes {1:1, 1:2, 2:1, 1:3, 3:2, 2:3, 3:1, 1:4, 4:3, 3:4, 4:1, 3:8, 8:3, 1:6, 6:1, 1:8, 16:3, 3:16, 8:1, ...}~~

	~~5 odd-limit includes {1:1, 1:2, 2:1, 1:3, 3:2, 2:3, 3:1, 1:4, 4:3, 3:5, 5:2, 2:5, 5:3, 3:4, 4:1, 1:5, 5:4, 3:8, 8:5, ...}~~

	~~- '''Omegatron''' September 11, 2014, 08:18:45 PM UTC-0700~~
	~~----~~
	~~Seems so, although 1 prim-limit looks a bit strange.~~

	~~...and "Calkin-Wilf sequence" means this? http://en.wikipedia.org/wiki/Calkin%E2%80%93Wilf_tree#Breadth_first_traversal~~

	~~- '''xenwolf''' September 12, 2014, 03:58:41 AM UTC-0700~~
	~~----~~
	~~Yeah, I read some page that said "1-limit is just the unison", but I can't find it now.~~

	~~Yes, that sequence.~~

	~~- '''Omegatron''' September 12, 2014, 08:07:35 AM UTC-0700~~
	~~----~~

Mike Battaglia: not sure

2018-09-27T21:10:03Z

not sure

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	but not 8/5, because it's tritave equivalence instead of octave. [[User:PiotrGrochowski\|PiotrGrochowski]] ([[User talk:PiotrGrochowski\|talk]]) 16:53, 27 September 2018 (UTC)		but not 8/5, because it's tritave equivalence instead of octave. [[User:PiotrGrochowski\|PiotrGrochowski]] ([[User talk:PiotrGrochowski\|talk]]) 16:53, 27 September 2018 (UTC)

			: Good question. I don't think there's a name for it. What would you like to call it? Mod-3 limit? [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 21:10, 27 September 2018 (UTC)

	= ARCHIVED WIKISPACES DISCUSSION BELOW =		= ARCHIVED WIKISPACES DISCUSSION BELOW =

PiotrGrochowski at 16:53, 27 September 2018

2018-09-27T16:53:48Z

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			What would be the counterpart of odd limit for tritave equivalence named?

			like, you know, this would be in 5 limit:

			* 1/1, 3/1
			* 6/5, 5/2
			* 5/4, 12/5
			* 4/3, 9/4
			* 3/2, 2/1
			* 5/3, 9/5

			but not 8/5, because it's tritave equivalence instead of octave. [[User:PiotrGrochowski\|PiotrGrochowski]] ([[User talk:PiotrGrochowski\|talk]]) 16:53, 27 September 2018 (UTC)

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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.''' ''...

2018-09-20T07:00:33Z

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">''...

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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.

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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.'''
----

== Confused ==
"but not 11/9 (11 is a prime greater than 9) nor 15/7 (since 15 is 3*5, both leas then 9, but with product greater than 9)"

Ok, so what odd limit are these? 11/9 is 11 odd-limit? 15/7 is 15 odd-limit?

Is 3/1 in 3 odd-limit?

is 12/1 in 3 odd-limit?

is 10/3 in 3 odd-limit or 5 odd-limit?

- '''Omegatron''' September 02, 2014, 06:48:54 AM UTC-0700
----
and why does the primeness of 11 in 11/9 matter? the odd limit of 15/7 is 15 while the odd-limit of 11/7 is 11? so primeness is irrelevant?

- '''Omegatron''' September 02, 2014, 06:57:49 AM UTC-0700
----
A distinction is made between prime limits (p-limits) and odd limits. As I understand it, odd limits define diamonds of intervals, whereas a prime limit defines the highest "dimension" of an interval space by dimensions (here is also a rank considered). I also think these definitions in this wiki could be improved.

As for your actual questions, I think:

3/1 is in 3 odd-limit and in the 3 p-limit

12/1 is in the 13 odd-limit and in the 3 p-limit

10/3 is in the 11 odd-limit and in the 5 p-limit

- '''xenwolf''' September 02, 2014, 08:37:20 AM UTC-0700
----
I was wrong. As Wikipedia describes it, the factor 2 (and each of its powers) is irrelevant. So 12/1 should be in the 3 odd-limit and 10/3 in the 5 odd-limit.

- '''xenwolf''' September 02, 2014, 08:41:38 AM UTC-0700
----
Ok so are these lists correct? They are generated from Calkin-Wilf sequence:

1 prime-limit includes {1:1}

2 prime-limit includes {1:1, 1:2, 2:1, 1:4, 4:1, 1:8, 8:1, 1:16, 16:1, ...}

3 prime-limit includes {1:1, 1:2, 2:1, 1:3, 3:2, 2:3, 3:1, 1:4, 4:3, 3:4, 4:1, 3:8, 8:3, 1:6, 9:4, 9:2, 2:9, 4:9, 6:1, ...}

5 prime-limit includes {1:1, 1:2, 2:1, 1:3, 3:2, 2:3, 3:1, 1:4, 4:3, 3:5, 5:2, 2:5, 5:3, 3:4, 4:1, 1:5, 5:4, 3:8, 8:5, ...}

1 odd-limit includes {1:1, 1:2, 2:1, 1:4, 4:1, 1:8, 8:1, 1:16, 16:1, ...}

3 odd-limit includes {1:1, 1:2, 2:1, 1:3, 3:2, 2:3, 3:1, 1:4, 4:3, 3:4, 4:1, 3:8, 8:3, 1:6, 6:1, 1:8, 16:3, 3:16, 8:1, ...}

5 odd-limit includes {1:1, 1:2, 2:1, 1:3, 3:2, 2:3, 3:1, 1:4, 4:3, 3:5, 5:2, 2:5, 5:3, 3:4, 4:1, 1:5, 5:4, 3:8, 8:5, ...}

- '''Omegatron''' September 11, 2014, 08:18:45 PM UTC-0700
----
Seems so, although 1 prim-limit looks a bit strange.

...and "Calkin-Wilf sequence" means this? http://en.wikipedia.org/wiki/Calkin%E2%80%93Wilf_tree#Breadth_first_traversal

- '''xenwolf''' September 12, 2014, 03:58:41 AM UTC-0700
----
Yeah, I read some page that said "1-limit is just the unison", but I can't find it now.

Yes, that sequence.

- '''Omegatron''' September 12, 2014, 08:07:35 AM UTC-0700
----