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Scale 3069: "Maqam Shawq Afza"

Scale 3069: Maqam Shawq Afza, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Arabic
Maqam Shawq Afza
Zeitler
Bacryllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,2,3,4,5,6,7,8,9,11}
Forte Number10-3
Rotational Symmetrynone
Reflection Axes5.5
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections2
Modes9
Prime?no
prime: 1791
Deep Scaleno
Interval Vector889884
Interval Spectrump8m8n9s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {5,6,7}
<6> = {6,7,8}
<7> = {7,8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1.4
Maximally Evenno
Maximal Area Setyes
Interior Area2.866
Myhill Propertyno
Balancedno
Ridge Tones[11]
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC{0,4,7}352.75
D{2,6,9}452.83
E{4,8,11}452.67
F{5,9,0}452.75
G{7,11,2}352.75
G♯{8,0,3}452.58
B{11,3,6}452.67
Minor Triadscm{0,3,7}452.67
dm{2,5,9}452.83
em{4,7,11}352.75
fm{5,8,0}452.67
g♯m{8,11,3}452.58
am{9,0,4}352.75
bm{11,2,6}452.75
Augmented TriadsC+{0,4,8}552.5
D♯+{3,7,11}552.5
Diminished Triads{0,3,6}253
{2,5,8}253
d♯°{3,6,9}253
{5,8,11}253
f♯°{6,9,0}253
g♯°{8,11,2}253
{9,0,3}253
{11,2,5}253
Parsimonious Voice Leading Between Common Triads of Scale 3069. Created by Ian Ring ©2019 cm cm c°->cm B B c°->B C C cm->C D#+ D#+ cm->D#+ G# G# cm->G# C+ C+ C->C+ em em C->em E E C+->E fm fm C+->fm C+->G# am am C+->am dm dm d°->dm d°->fm D D dm->D F F dm->F dm->b° d#° d#° D->d#° f#° f#° D->f#° bm bm D->bm d#°->B D#+->em Parsimonious Voice Leading Between Common Triads of Scale 3069. Created by Ian Ring ©2019 G D#+->G g#m g#m D#+->g#m D#+->B em->E E->f° E->g#m f°->fm fm->F F->f#° F->am g#° g#° G->g#° G->bm g#°->g#m g#m->G# G#->a° a°->am b°->bm bm->B

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Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter5
Radius5
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 3069 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 1791
Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllianThis is the prime mode
3rd mode:
Scale 2943
Scale 2943: Dathyllian, Ian Ring Music TheoryDathyllian
4th mode:
Scale 3519
Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi
5th mode:
Scale 3807
Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
6th mode:
Scale 3951
Scale 3951: Mathyllian, Ian Ring Music TheoryMathyllian
7th mode:
Scale 4023
Scale 4023: Styptyllian, Ian Ring Music TheoryStyptyllian
8th mode:
Scale 4059
Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
9th mode:
Scale 4077
Scale 4077: Gothyllian, Ian Ring Music TheoryGothyllian
10th mode:
Scale 2043
Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn

Prime

The prime form of this scale is Scale 1791

Scale 1791Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllian

Complement

The decatonic modal family [3069, 1791, 2943, 3519, 3807, 3951, 4023, 4059, 4077, 2043] (Forte: 10-3) is the complement of the modal family [9, 513] (Forte: 2-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3069 is 2043

Scale 2043Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn

Transformations:

T0 3069  T0I 2043
T1 2043  T1I 4086
T2 4086  T2I 4077
T3 4077  T3I 4059
T4 4059  T4I 4023
T5 4023  T5I 3951
T6 3951  T6I 3807
T7 3807  T7I 3519
T8 3519  T8I 2943
T9 2943  T9I 1791
T10 1791  T10I 3582
T11 3582  T11I 3069

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 3071Scale 3071: Solatic, Ian Ring Music TheorySolatic
Scale 3065Scale 3065: Zothygic, Ian Ring Music TheoryZothygic
Scale 3067Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
Scale 3061Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
Scale 3053Scale 3053: Zycrygic, Ian Ring Music TheoryZycrygic
Scale 3037Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
Scale 3005Scale 3005: Gycrygic, Ian Ring Music TheoryGycrygic
Scale 2941Scale 2941: Laptygic, Ian Ring Music TheoryLaptygic
Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
Scale 2557Scale 2557: Dothygic, Ian Ring Music TheoryDothygic
Scale 3581Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian
Scale 4093Scale 4093: Aerycratic, Ian Ring Music TheoryAerycratic
Scale 1021Scale 1021: Ladygic, Ian Ring Music TheoryLadygic
Scale 2045Scale 2045: Katogyllian, Ian Ring Music TheoryKatogyllian

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.