Computing with Chord Spaces
Donya Quick and Paul Hudak
The number of solutions involved in many algorithmic composition problems is too large to be tractable without simplification. Given this, it is critical that composition algorithms be able to move through different levels of abstraction while maintaining a well-organized solution space. In this paper we present the following contributions: (1) extended formalizations and proofs needed to implement the chord spaces defined by Tymoczko and Callender et al., (2) a generalized framework for moving between levels of abstraction using quotient spaces that can easily be integrated with existing algorithmic composition algorithms, and (3) an application of both to voice-leading assignment.
Pics taken with flash after lights out showing the hitchhiker NPS polyps I've been trying to grow and the recovering sun:
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/i.imgur.com/yRyjv.jpgBut it looks more like Phyllangia mouchezii then americana (maybe?).
/www.marinespecies.org/aphia.php?p=taxdetails&id=135164
/www.marinespecies.org/aphia.php?p=taxdetails&id=346430
It's a poorly enough defined type of division that it may as well be flavor most of the time lol. Anyway the mouchezii variety seems to be eastern Atlantic. So, if yours is from gulf rock then it would be the plane vanilla Phyllangia americana americana.
It dropped an arm that drifted over there and attached firmly within a span of about 4 hours. Pretty impressive. I've read about this limb-dropping behavior and that they can take over new areas really fast, but I've never seen it before except in response to some sort of physical damage (but there is none of that here).
That was indeed part of the reason for the 2nd canister having those rock bits; I wanted to avoid piles of stuff. Overall though, this tank is also lighter on net volume of rock than probably most 55gal tanks would be, so that will be contributing a bit to the sparse appearance. If I was going to do the same size tank with a thin sand bed and intending to go heavy on fish (there are only 2 small guys in there right now lol), I would probably have started with another 10 lbs in there, even with the extra canister holding spare bits. As it is, the sand bed has really done an impressive job as it has matured so even if I wanted to beef up the fish population I doubt I'd see a need for any more rock. This tank has been very low nutrient despite my crazy habits of throwing filter foods at it morning and evening.
. My chaeto wasn't growing at all till I dosed iron over 5 days, then it exploded. Not like it is going to take up the iron instead of the nitrates, but with the nitrates.
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