Talk:EDF - Revision history

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

2018-10-01T18:02:35Z

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">''...

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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.~~

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	~~== Can't understand this temperament ==~~
	~~Okay, I've been trying to figure this out because it sounds weird and interesting, but it's not making sense.~~

	~~I'm going off of this:~~

	~~"...the 8:9:10:(12) chord as exactly analogous to the 4:5:6:(8) chord in meantone..."~~

	~~Now, in meantone, the "third" 5/4 and the "fifth" 3/2 are related in this way: (3/2)^4/((5/4)*(2/1)^2) = 81/80 -> 1/1.~~

	If you're telling me that 8:9:10 chords should do the "exactly analogous" thing, that makes me think that (5/4)^4/((9/8)*(3/2)^2) should be the comma that is tempered out. That's 625/648, the same comma as diminished.

	~~This is all well and good and makes sense as a 5-limit temperament with 3/2 as the period (and either 6/5 or 5/4 as a generator). However, the MOS series of this temperament goes:~~

	~~2edf, 3edf, 5edf, 7edf, 12edf, 19edf, 26edf, 33edf...~~

	~~So your 9+11=20 scale doesn't pop out of the temperament I found at all. There must be some mistake somewhere?~~

	~~What is the comma tempered out of your scale?~~

	~~- '''keenanpepper''' December 26, 2011, 09:10:33 PM UTC-0800~~
	~~----~~
	Just going by the MOS numbers (9,11,20) it seems like you might be talking about the temperament with the comma 15625/15552 (period 3/2, generator 6/5 or 5/4), but I have no idea how to interpret the "exactly analogous" statement.

	~~- '''keenanpepper''' December 26, 2011, 10:35:42 PM UTC-0800~~
	~~----~~
	~~Ha! My fault, it isn't "exactly". I wasn't thinking of how many 5/4 tempered flat end up with 9/8 just that they do. Sorry!~~

	~~Good stuff with the edf/edo correspondences.~~

	~~- '''Kosmorsky''' December 27, 2011, 01:14:37 AM UTC-0800~~
	~~----~~
	~~Oh, ok. So you meant that 5/4 is the generator and a bunch of them (not necessarily 4), reduced by 3/2, gives you 9/8.~~

	~~So this is equivalent to the 15625/15552 temperament then, right?~~

	~~(And the 648/625 temperament is something different I just accidentally discovered...)~~

	~~- '''keenanpepper''' December 27, 2011, 06:58:19 AM UTC-0800~~
	~~----~~
	~~15625/15552 it is, indeed. Should be 6 of them instead of 4.~~

	~~- '''Kosmorsky''' December 27, 2011, 11:49:02 AM UTC-0800~~
	~~----~~
	~~That's cool man. Totally different musical perspective on what's mathematically "the same" as hanson temperament.~~

	~~- '''keenanpepper''' December 27, 2011, 09:14:44 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.''' ''...

2018-09-20T07:00:37Z

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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.'''
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== Can't understand this temperament ==
Okay, I've been trying to figure this out because it sounds weird and interesting, but it's not making sense.

I'm going off of this:

"...the 8:9:10:(12) chord as exactly analogous to the 4:5:6:(8) chord in meantone..."

Now, in meantone, the "third" 5/4 and the "fifth" 3/2 are related in this way: (3/2)^4/((5/4)*(2/1)^2) = 81/80 -> 1/1.

If you're telling me that 8:9:10 chords should do the "exactly analogous" thing, that makes me think that (5/4)^4/((9/8)*(3/2)^2) should be the comma that is tempered out. That's 625/648, the same comma as diminished.

This is all well and good and makes sense as a 5-limit temperament with 3/2 as the period (and either 6/5 or 5/4 as a generator). However, the MOS series of this temperament goes:

2edf, 3edf, 5edf, 7edf, 12edf, 19edf, 26edf, 33edf...

So your 9+11=20 scale doesn't pop out of the temperament I found at all. There must be some mistake somewhere?

What is the comma tempered out of your scale?

- '''keenanpepper''' December 26, 2011, 09:10:33 PM UTC-0800
----
Just going by the MOS numbers (9,11,20) it seems like you might be talking about the temperament with the comma 15625/15552 (period 3/2, generator 6/5 or 5/4), but I have no idea how to interpret the "exactly analogous" statement.

- '''keenanpepper''' December 26, 2011, 10:35:42 PM UTC-0800
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Ha! My fault, it isn't "exactly". I wasn't thinking of how many 5/4 tempered flat end up with 9/8 just that they do. Sorry!

Good stuff with the edf/edo correspondences.

- '''Kosmorsky''' December 27, 2011, 01:14:37 AM UTC-0800
----
Oh, ok. So you meant that 5/4 is the generator and a bunch of them (not necessarily 4), reduced by 3/2, gives you 9/8.

So this is equivalent to the 15625/15552 temperament then, right?

(And the 648/625 temperament is something different I just accidentally discovered...)

- '''keenanpepper''' December 27, 2011, 06:58:19 AM UTC-0800
----
15625/15552 it is, indeed. Should be 6 of them instead of 4.

- '''Kosmorsky''' December 27, 2011, 11:49:02 AM UTC-0800
----
That's cool man. Totally different musical perspective on what's mathematically "the same" as hanson temperament.

- '''keenanpepper''' December 27, 2011, 09:14:44 PM UTC-0800
----