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| = ARCHIVED WIKISPACES DISCUSSION BELOW =
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| '''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
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| == Can't follow this ==
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| At first look, I can't follow this. Maybe some further explanation would help. For instance, showing the relationship between the 12-note 7-limit scale and crossbone. Also, it's simply asserted that two primes separated by 12 have a special relationship.
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| - '''genewardsmith''' July 15, 2014, 08:22:41 PM UTC-0700
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| Thanks for the feedback and suggestions Gene. I can see where explicitly bridging tosee gaps would clear up a lot, especially since I included all three implementations in rapid succession; I'll get to work on it tonight.
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| - '''joeydinardo2''' July 16, 2014, 06:24:28 AM UTC-0700
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| Bridging those gaps*
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| - '''joeydinardo2''' July 16, 2014, 06:27:12 AM UTC-0700
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| I think it's important to mention that if A = 7^(1/19) abd B = 5^(1/17), then 2 is approximately A^4 * B^3. If we assume this equivalence, then we are in a tuning of a rank two 2.5.7 temperament tempering out |-323 0 57 68>. We might want to also use 3 as approximately B^19/A^5. Assuming both, we are in this temperament, in the 5 and 7 eigenmonzo tuning:
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| http://x31eq.com/cgi-bin/rt.cgi?ets=88p_183d&limit=7
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| Alternatively, there's this:
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| http://x31eq.com/cgi-bin/rt.cgi?ets=88p_176c&limit=7
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| At any rate, an 88 note scale would seem natural for crossbone.
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| - '''genewardsmith''' July 16, 2014, 09:35:42 AM UTC-0700
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| That's a great interpretation, though I'd like to somehow make clear that my intentions with Crossbone are not to be in reference to or approximate an octave equivalency, but instead to use the septave and pentave together in keyspace (physical space on the keyboard, not pitch space) repeating the 'sepent' -a combination in keyspace of the pentave (in 17steps) and the septave (in 19 steps)- every 36 keys.
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| I'd like to stay away from classifying the EDT temperament in relation to an octave approximation, but that's absolutely reasonable for the octave-based just scale approximation.
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| - '''joeydinardo2''' July 16, 2014, 10:14:33 AM UTC-0700
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| Oops, I was under the impression EDT meant "Equally-Divided Temperament" meaning "any temperament not octave-repeating." In this case, I actually mean EDP (equally divided pentave) and EDS (equally divided septave)
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| - '''joeydinardo2''' July 17, 2014, 09:38:13 AM UTC-0700
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| I'm still not finding an actual specification of which notes belong to Crossbone.
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| - '''genewardsmith''' July 17, 2014, 05:58:05 PM UTC-0700
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| Working on it; adding sections detailing the sepent, a pitch table, detailing the prime assertion you mention, and reworking the just scale documentation.
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| - '''joeydinardo2''' July 17, 2014, 07:58:59 PM UTC-0700
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| Are the notes:
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| (1) A^n plus B^n for various integers n
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| (2) A^n * B^m for integers n and m
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| or
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| (3) Something else?
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| - '''genewardsmith''' July 18, 2014, 05:58:07 PM UTC-0700
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| In reference to the just approximates? The key assignment/layout? Or are you asking if each order is something composite/polymicrotonal?
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| - '''joeydinardo2''' July 18, 2014, 09:28:35 PM UTC-0700
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