back to list

Gizmo 14 for 4:6:7:9:11:13 (Parapyth)

🔗Margo Schulter <mschulter@...>

11/4/2012 10:52:09 PM

Hello, all.

Here's a curious kind of 14-note tuning set found within Parapyth
(POTE, MET-24, or whatever) called Gizmo -- with that name
subject to revision if it duplicates something I haven't yet
found in a quick search of tuning and tuning-math.

The definition of Gizmo is that it's the smallest Parapyth set
including three 4:6:7:9:11:13 hexads, on the 1/1, 9/8. and 3/2.
Here's a JI transversal, and versions of Gizmo in MET-24 and POTE
Parapyth.

! gizmo14-ji_transversal.scl
!
Possible JI transversal of gizmo14.scl or gizmo14-pote.scl
14
!
91/88
9/8
11/9
14/11
21/16
11/8
3/2
14/9
13/8
22/13
7/4
11/6
63/32
2/1

! gizmo14-pote.scl
!
Gizmo in Parapyth POTE, three ~4:6:7:9:11:13 hexads on 1/1, 9/8, 3/2
14
!
58.33900
207.71200
346.77100
415.42400
473.76300
554.48300
703.85600
762.19500
842.91500
911.56800
969.90700
1050.62700
1177.61900
2/1

! gizmo14.scl
!
Parapyth set, three ~4:6:7:9:11:13 hexads on 1/1, 9/8, 3/2 (MET-24 version)
14
!
57.42187
207.42187
346.28906
414.84375
472.26562
553.71094
703.71094
761.13281
842.57812
911.13281
968.55469
1050.00000
1175.97656
2/1

While the 4:6:7:9:11:13 hexads give Gizmo 14 a mostly harmonic
definition, it abounds in varied step sizes, and is a lot of fun
for maqam or dastgah.

Peace and love,

Margo