Talk:Chords of miracle/WikispacesArchive

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Slendric pentad and hash

2 questions:

1) "Hash" is fascinating. How did you come up with it? Why the log 2? Also, does this satisfy your goal for coming up with a unique descriptor for chords?

2) One of my favorite chords in miracle and ever is the slendric pentad, which is 5 slendric 8/7's on top of one another. This is one of those near-dyadic chords I mentioned earlier, in which almost every dyad is consonant, but with one or two dissonances (in this case 21/16). For whatever reason I find it to be a beautiful chord, and very bright, which serves as a useful counterpoint to many of the chords listed here which can be much darker and more tense. Can I list it, or do these have to only be essentially tempered chords?

- mbattaglia1 December 22, 2011, 10:05:42 AM UTC-0800

It seems like an obvious hashing function. In order to relate it to Graham complexity and avoid potential problems with big integers, I took the log base 2.

- genewardsmith December 22, 2011, 10:51:51 AM UTC-0800

Mike -- for what it's worth, whenever I'm using 3's and 7's, I consider ratios of 21 potential consonances, even if it doesn't fit the theoretical model.

The slendric pentad is yummy.

- Andrew_Heathwaite December 22, 2011, 02:35:21 PM UTC-0800

I think so too. But does Gene want it on this page?

- mbattaglia1 December 23, 2011, 06:58:26 AM UTC-0800

I already put the slendric pentad on the dyadic chords page, under the name "gamilismic pentad". Is "slendric" in common use?

- genewardsmith December 23, 2011, 10:18:18 AM UTC-0800

The term "slendric" for the 2.3.7 1029/1024 temperament is in very common use, mostly because Keenan's been talking about it for ages. As far as I know this chord doesn't have any specific name. I think it would be better if called the "slendric pentad" because

a) it's the first five generators of slendric temperament and is right there as a prime feature of it. It's only in gamelismic temperament because gamelismic temperament is slendric with an extra generator which isn't involved in this chord

b) more people are talking about slendric these days than gamelismic, so it'll probably make more sense

I don't know if the term "gamelismic pentad" has any common use though.

- mbattaglia1 December 24, 2011, 12:50:41 AM UTC-0800

Just want to note for clarity that I didn't name "slendric", and if I had, I wouldn't have chosen the name "slendric", because it's really nothing like slendro.

- keenanpepper December 24, 2011, 09:30:19 AM UTC-0800