gizmo14-pote

Gizmo in Parapyth POTE, three ~4:6:7:9:11:13 hexads on 1/1, 9/8, 3/2

Properties

Notes14
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105298.html#105298
Thread3 scales
Tone (¢) Step (¢)
58 58
208 149
347 139
415 69
474 58
554 81
704 149
762 58
843 81
912 69
970 58
1051 81
1178 127
1200 22

Similar scales

FileNotesRotationMax diff (¢)
gizmo14 14 0 1.6
gizmo14-ji_transversal 14 0 4.9

Parent scales

FileNotesMax diff (¢)
peprmintA 24 1.5
secor29tolerant 29 1.0
Tolerant-Secor-29 29 1.3
htct29b 29 1.6
met24-ji3_A 24 4.9
neogeb24 24 6.1
septenarian29 29 4.1
reg705_24 24 7.4
Tolerant-Secor-41 41 1.3
lin76-34 24 9.6

Child scales

FileNotesMax diff (¢)
xen03-colvig-gamelan-7-11 5 3.8
xen18-secor-neutral-third-mos-2-just 7 4.3
xen12-wilson-09-4C2-hexany-03 6 5.1
xen18-secor-neutral-third-mos-2-tempered 7 6.7
xen09-wilson-marwa-07-02 7 7.6
xen15-gilson-generalized-pythagorean-3-2-5 5 7.6
CD14_08_Algeria 6 8.7
xen12-chalmers-tritriadic-dm-3-11-27 7 9.0
Gambia_Malinke_01 7 9.2
CD06_12_bayati_Egypt 7 10.7
Mailing list post
From: Margo Schulter (2012-11-05)
Subject: Gizmo 14 for 4:6:7:9:11:13 (Parapyth)

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
Full thread (1 messages)
From: Margo Schulter (2012-11-05)
Subject: Gizmo 14 for 4:6:7:9:11:13 (Parapyth)

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

Raw file

! 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
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105298.html#105298
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_90000-106393.json
! topic_id = 105298
! msg_id = 105298