Zhea Erose - Novemdeca [in Just Intonation]

Hi everyone! After a few pieces in 31edo, I'm really excited to share some of my work in just intonation. This was a mostly improvised piece for 12 notes tuned to frequency ratios: 38:40:43:46:48:51:54:57:61:64:68:72:76.

I call this my novemdecimal 12-chromatic tuning. It uses all ratios with a common numerary nexus of 19 or 19*2 to generate the pitch content. A prime is only factorable by one and itself meaning that within the space between the 1:2:3:4 factors of a prime number, you essentially generate a digital harmonic series with a different resolution between the harmonic factors. I call this a lineal segment. 19:38:57:76 is then perceived as 1:2:3:4 and the gaps between generate the harmonic content. This is a reduction of the lineal segment between 38:76 (2:4) which provides a perfect 2:3 in addition to tons of intervals unique to /19 (novemdecimal).

Here is the tuning used in the piece:
note: ratio: cents:
0: 1/1 0.0
1: 20/19 88
2: 43/38 214
3: 23/19 330
4: 24/19 404
5: 51/38 509
6: 27/19 608
7: 3/2 701.9
8: 61/38 819.3
9: 32/19 902.4
10: 34/19 1007.4
11: 36/19 1106.3
12: 2/1 1200.0

This system of just intonation works opposite to many traditional and longstanding views on just intonation. Namely, invertible symmetry (the idea the 16:19 is equivalent to 19:32) and prime limits. In this primodal system, prime limit is never considered.