Talk:Würschmidt family/WikispacesArchive

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ARCHIVED WIKISPACES DISCUSSION BELOW

All discussion below is archived from the Wikispaces export in its original unaltered form.
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Umlauts

I'm bringing the Xenwiki into line with Graham's site

- genewardsmith December 21, 2011, 12:40:27 PM UTC-0800


Doppelwuerschmidt?

I think Doppelwuerschmidt should be removed unless it can be provided with a definition and an explanation for why it is interesting.

- genewardsmith November 13, 2011, 08:35:17 PM UTC-0800


I don't see the problem - yes maybe it could renamed Double Wuerschmidt, and consonanzen reads sligtly denglish, but why not?

I discovered, for instance, that 5th harmonic is skipped and 128/125 is avoided...

What is the difference between the definition of Doppelwuerschmidt and - say - the definition of Wurschmidt?

- xenwolf November 13, 2011, 11:49:48 PM UTC-0800


It seems to me that "Doppelwuerschmidt" is practically identical to skwares.

http://x31eq.com/cgi-bin/rt.cgi?ets=31+17&limit=2.3.25.7.11

If you think you like Doppelwuerschmidt, what you like is probably skwares. The 25th harmonic has very little to do with it.

- keenanpepper November 14, 2011, 12:28:23 AM UTC-0800


Is doppelwuerschmidt just 2-wuerschmidt?

- mbattaglia1 November 14, 2011, 04:53:51 AM UTC-0800


It's 2-wuerschmidt yes. It seemed a notable scale construction to me (I put it in there after all) but if y'all want to take it out, at least be sure to include some mention of how skwares relates to wuerschmidt.

But if a double wuerschmidt is not notable, neither should be a half //, which is there too. If you go down that path you might end up with infinitessimal generators.

In my opinion, if we're talking a difference the magnitude of ten cents in the generator it has a good shot at being a different temperament. For that matter I find 14/9 and 25/16 distinct intervals.

- Kosmorsky November 14, 2011, 07:36:00 AM UTC-0800


Whoa whoa whoa, what is this difference of ten cents?? Optimal doppelwuerschmidt and optimal skwares are extremely similar. Twice the TE wuerschmidt generator is 774.87 cents, and the TE skwares generator is 775.00 cents. That's a difference of 0.13 cents, not 10 cents.

- keenanpepper November 14, 2011, 11:26:44 AM UTC-0800


Between 25/16 and 14/9 just, not necessarily the optimal generator. Is double the optimal TE wuerschmidt generator still optimal for "doppelwuerschmidt"/skwares?

I'm not opposed to just linking them, just trying to be sure.

- Kosmorsky November 14, 2011, 11:45:42 AM UTC-0800


Actually, yeah, you're probably right.

- Kosmorsky November 14, 2011, 11:50:04 AM UTC-0800


Here are 1200-2*POTE for various temperaments in the family:

5-limit Wuerschmidt: 424.402

7-limit Wurschmidt: 425.234

7-limit Worschmidt: 425.216

7-limit Whirrschmidt: 424.238

We can compare this to:

7-limit Squares: 425.942

11-limit Squares: 425.957

13-limit Squares: 425.550

Skwares: 425.244

- genewardsmith November 14, 2011, 11:54:00 AM UTC-0800


Beautiful, thank you all.

- Kosmorsky November 14, 2011, 08:37:12 PM UTC-0800