Talk:Phi as a generator - Revision history

FloraC: FloraC moved page Talk:Phi as a Generator to Talk:Phi as a generator: WP:NCCAPS

2024-03-03T07:45:56Z

FloraC moved page Talk:Phi as a Generator to Talk:Phi as a generator: WP:NCCAPS

← Older revision	Revision as of 07:45, 3 March 2024
(No difference)

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

2018-10-01T18:02:41Z

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
Line 1:		Line 1:
	~~= 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.~~

	~~----~~

	~~== Put to good use? ==~~
	I took out something which wasn't explained enough to really make sense. It would be a good idea to put it back, telling how, exactly, the Lucas numbers can be put to good use. It seems logical, since ratios between them appear. Is that what you meant?

	~~- '''genewardsmith''' December 31, 2011, 10:03:09 AM UTC-0800~~
	~~----~~
	The exponents of phi are Lucas numbers? I don't know what to make of that yet. I know what I was trying to say though, and I was simply off the mark. It isn't the simple Fibonacci number harmonics that phi^n approximates...

	~~phi^1 ~ 13/8~~

	~~phi^2 ~ 21/8~~

	~~phi^3 ~ 34/8~~

	~~phi^4 ~ 55/8~~

	~~etc.~~

	All because phi~13/8 which is actually the definition of sephiroth temperament! But there are other Fibonacci sequences that still approximate phi, and while I don't know if they do it more or less quickly than the traditional 1+1, they are probably too!

	And because, I assume - maybe it's not that easy, any number can be defined as the limit of the ratio between successive terms of some sequence, perhaps this can be developed as an atomic definition of any rank-2 (or maybe any) temperament?

	~~- '''Kosmorsky''' December 31, 2011, 01:03:11 PM UTC-0800~~
	~~----~~
	*probably relevant too, to the characteristics of the temperament.

	~~Furthermore, the nucleation point of any of the temperaments, where that the ratio is something like 13/8 that they all build off, can be any of those equivalences; the closer the more accurate.~~

	~~13/8 is good because octaves make short work of the 8 in the denominator, but like I said, next come tritaves, and so on.~~

	~~- '''Kosmorsky''' December 31, 2011, 01:08:26 PM UTC-0800~~
	~~----~~
	*NOT equivalences, I meant ratios which approximate the number. I have a way with words.

	~~- '''Kosmorsky''' December 31, 2011, 01:09:38 PM UTC-0800~~
	~~----~~

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.''' ''...

2018-09-20T07:00:51Z

← Older revision		Revision as of 07:00, 20 September 2018
Line 1:		Line 1:
	= 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.'''
----

== Put to good use? ==
I took out something which wasn't explained enough to really make sense. It would be a good idea to put it back, telling how, exactly, the Lucas numbers can be put to good use. It seems logical, since ratios between them appear. Is that what you meant?

- '''genewardsmith''' December 31, 2011, 10:03:09 AM UTC-0800
----
The exponents of phi are Lucas numbers? I don't know what to make of that yet. I know what I was trying to say though, and I was simply off the mark. It isn't the simple Fibonacci number harmonics that phi^n approximates...

phi^1 ~ 13/8

phi^2 ~ 21/8

phi^3 ~ 34/8

phi^4 ~ 55/8

etc.

All because phi~13/8 which is actually the definition of sephiroth temperament! But there are other Fibonacci sequences that still approximate phi, and while I don't know if they do it more or less quickly than the traditional 1+1, they are probably too!

And because, I assume - maybe it's not that easy, any number can be defined as the limit of the ratio between successive terms of some sequence, perhaps this can be developed as an atomic definition of any rank-2 (or maybe any) temperament?

- '''Kosmorsky''' December 31, 2011, 01:03:11 PM UTC-0800
----
*probably relevant too, to the characteristics of the temperament.

Furthermore, the nucleation point of any of the temperaments, where that the ratio is something like 13/8 that they all build off, can be any of those equivalences; the closer the more accurate.

13/8 is good because octaves make short work of the 8 in the denominator, but like I said, next come tritaves, and so on.

- '''Kosmorsky''' December 31, 2011, 01:08:26 PM UTC-0800
----
*NOT equivalences, I meant ratios which approximate the number. I have a way with words.

- '''Kosmorsky''' December 31, 2011, 01:09:38 PM UTC-0800
----