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| [[File:RTT clean 3.png|800px|center|thumb|'''Figure 5d.''' Diagram of core RTT concepts.]] | | [[File:RTT clean 3.png|800px|center|thumb|'''Figure 5d.''' Diagram of core RTT concepts.]] |
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| == lattices (TBD) == | | == other topics (TBD) == |
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| * Fokker blocks, fundamental domain, relationship to MOS
| | === tuning === |
| * octave equivalence vs. tempering, dimension vs segmentation
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| * cylinders, helices, torii, that stuff
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| * pitch vs. pitch class
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| * (con)torsion
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| | === scales === |
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| == tuning (TBD) == | | === lattices === |
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| * Paul's graphical method for finding generators
| | === finding approximate JI generators === |
| * mapping -> generator (from Steve, and Herman) don’t forget to include this bit
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| * pretty much all the stuff down in my Asana workspace under “okay I guess I understand these things well enough now” including the graphical generator method and however that relates to wedgie formula and Steve Martin’s mention, etc. and whatever comes out of discussing with Dave over email
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| * this is a TUNING topic: don't forget to mention the blue dots on the lines on the PTS… I think those are like somehow optimal points for the temperament? but I don’t understand how yet (it might have been nice when talking about how rank-3 temperament of 5-limit JI is picking three points to describe the entire plane, to say something about how the best tuning of the plane in in the middle, but the best tuning of the lines is on the blue dots… but maybe that comes later…) I actually think this will come up when discussing the generator from pseudo-inverse stuff because I think it’s the optimal tuned generator
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| * is 1-ET theoretically at every edge? because if you followed any one of these lines to its extreme, it would be 1200 cents at one end and 0 cents at the other, which is the same thing and the same as 1-EDO. or maybe not... because actually i think the only things at infinity away from the center would be anything with a zero in any one of its coordinates. so maybe it's something more like asymptotic? anyway this might be good to bring up when you talk about the generator nice/valid/etc. ranges
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| * A way to think about this is we’re losing one generator so now one of the primes is expressed only in terms of the others; When we move by a 2, we lose 4 points for 5; And when we move by a 3 we gain them back
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| * This is probably the place to finally talk about non-octave periods? Unless that’s forced to come up back in the wedgie section
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| * notice how when you do Gaussian elimination by columns to find a basis for the null-space, the other columns could technically be generators (and perhaps link this to the gencom concept of just shifting where the semicolon is left and right to transform between ET and JI through intermediate ranks of a given dimensionality system)
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| | === (con)torsion === |
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| | === non-octave periods === |
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| == outro == | | == outro == |