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WikispacesArchive>Keenan Pepper |
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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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| <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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| == Splitting off the MOS catalog? ==
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| This article is pretty big, and sometimes I just want the MOS catalog. What about splitting it off? The same comment might be made about the EDO article.
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| - '''genewardsmith''' April 17, 2012, 09:05:22 AM UTC-0700
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| Good idea I think. Big articles have gone out of fashion as nobody has the time to read.
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| - '''xenwolf''' April 18, 2012, 03:22:51 AM UTC-0700
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| == MOS definition ==
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| Shifted a few things around because of the consensus on Multi-MOS and strict MOS and all that, which is I think the best we're going to get. I defined things so that the umbrella class of scales is called "MOS," with these being names for specific subtypes of MOS. I also left in the thing about how some people like to call the larger umbrella term of MOS scales "DE" scales.
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| Feel free to shift things around if you think anything is confusing.
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| - '''mbattaglia1''' March 25, 2012, 10:20:51 AM UTC-0700
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| == The 'WITNOTS' Scale ==
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| Hi, everybody (:
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| I put that name, because means:
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| What
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| Is
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| The
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| Name
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| Of
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| This
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| Scale?
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| So, I guess that somebody of you can found a name for this particular MOS: 11L 3s (for me, works well with the name 'Tetradecimal Triatonic').
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| Bye bye (:
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| - '''Osmiorisbendi''' April 17, 2011, 10:03:10 PM UTC-0700
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| == Error in propriety range ==
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| I believe the statement about the range of propriety being (2a+c)/(2b+d) < g < (a+2c)/(b+2d) is incorrect. As a counterexample, take Porcupine[8]. The statement in the article says that the 8-note MOS is only proper if the generator is between 2\17 and 2\15, but Porcupine[8] is proper in 22-equal as you can easily verify.
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| Perhaps the statement in the article only holds for even-numbered MOSs, or something like that.
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| - '''keenanpepper''' March 20, 2011, 02:44:44 PM UTC-0700
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| Of course I meant to say perhaps it only holds for odd-numbered MOSs, and not necessarily for even ones.
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| - '''keenanpepper''' March 20, 2011, 04:02:05 PM UTC-0700
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| I thought about it more and the odd/even thing is certainly wrong. I think the exception to the formula is when one of the numerators is zero, e.g. a = 0. Then when the MOS is of the form LLL...LLLs, the restriction that L < 2S isn't necessary, so the formula fails.
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| - '''keenanpepper''' March 20, 2011, 09:33:38 PM UTC-0700
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| I've corrected it.
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| - '''genewardsmith''' April 06, 2011, 11:45:49 AM UTC-0700
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| == Theory of MOS scales ==
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| My understanding of MOS scales is that they are Well-Formed scales and that these are a subset of Maximally-Even Scales. At least in Erv's original formulation, MOS did not divide the octave evenly. For example, the octatonic scale is Max Even, but not an MOS of 12-tet because it cannot be produced by a cycle of any interval relatively prime to 12. Also a cycle if 8 fifths in 12-tet creates a scale with only two interval sizes, but this scale is not an MOS either.
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| - '''jhchalmers''' June 11, 2010, 12:58:59 PM UTC-0700
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| I've heard contradictory things about what Erv meant, but my understanding now is that the octatonic scale would count. Eight fifths can be called pseudo-Myhill, which is what Scala does. Is there an easier way to define that than using semiconvergnts
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| - '''genewardsmith''' April 06, 2011, 11:53:15 AM UTC-0700
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| I've always done it empirically-- taking cycles of generating interval g modulo N (interval of equivalence, usually the octave). Each time a new pair of step intervals appears, there is a new MOS. For G=5 and N=12, we have the following
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| 5 7
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| 5 5 2
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| 3 2 3 2 2
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| 1 2 2 1 2 2 2
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| There is no way the octatonic would arise by this method.
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| - '''jhchalmers''' April 06, 2011, 01:06:45 PM UTC-0700
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