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Scale 2973: "Panyllic"

Scale 2973: Panyllic, 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

Zeitler
Panyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,7,8,9,11}
Forte Number8-20
Rotational Symmetrynone
Reflection Axes5.5
Palindromicno
Chiralityno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes7
Prime?no
prime: 951
Deep Scaleno
Interval Vector545662
Interval Spectrump6m6n5s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5}
<4> = {5,6,7}
<5> = {7,8}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation1.5
Maximally Evenno
Maximal Area Setno
Interior Area2.616
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}342
E{4,8,11}331.83
G{7,11,2}252.5
G♯{8,0,3}431.67
Minor Triadscm{0,3,7}331.83
em{4,7,11}342
g♯m{8,11,3}431.67
am{9,0,4}252.5
Augmented TriadsC+{0,4,8}441.83
D♯+{3,7,11}441.83
Diminished Triadsg♯°{8,11,2}242.33
{9,0,3}242.33
Parsimonious Voice Leading Between Common Triads of Scale 2973. Created by Ian Ring ©2019 cm cm C C cm->C D#+ D#+ cm->D#+ G# G# cm->G# C+ C+ C->C+ em em C->em E E C+->E C+->G# am am C+->am D#+->em Parsimonious Voice Leading Between Common Triads of Scale 2973. Created by Ian Ring ©2019 G D#+->G g#m g#m D#+->g#m em->E E->g#m g#° g#° G->g#° g#°->g#m g#m->G# G#->a° a°->am

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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
Radius3
Self-Centeredno
Central Verticescm, E, g♯m, G♯
Peripheral VerticesG, am

Modes

Modes are the rotational transformation of this scale. Scale 2973 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1767
Scale 1767: Dyryllic, Ian Ring Music TheoryDyryllic
3rd mode:
Scale 2931
Scale 2931: Zathyllic, Ian Ring Music TheoryZathyllic
4th mode:
Scale 3513
Scale 3513: Dydyllic, Ian Ring Music TheoryDydyllic
5th mode:
Scale 951
Scale 951: Thogyllic, Ian Ring Music TheoryThogyllicThis is the prime mode
6th mode:
Scale 2523
Scale 2523: Mirage Scale, Ian Ring Music TheoryMirage Scale
7th mode:
Scale 3309
Scale 3309: Bycryllic, Ian Ring Music TheoryBycryllic
8th mode:
Scale 1851
Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic

Prime

The prime form of this scale is Scale 951

Scale 951Scale 951: Thogyllic, Ian Ring Music TheoryThogyllic

Complement

The octatonic modal family [2973, 1767, 2931, 3513, 951, 2523, 3309, 1851] (Forte: 8-20) is the complement of the tetratonic modal family [291, 393, 561, 2193] (Forte: 4-20)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2973 is 1851

Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic

Transformations:

T0 2973  T0I 1851
T1 1851  T1I 3702
T2 3702  T2I 3309
T3 3309  T3I 2523
T4 2523  T4I 951
T5 951  T5I 1902
T6 1902  T6I 3804
T7 3804  T7I 3513
T8 3513  T8I 2931
T9 2931  T9I 1767
T10 1767  T10I 3534
T11 3534  T11I 2973

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 2975Scale 2975: Aeroptygic, Ian Ring Music TheoryAeroptygic
Scale 2969Scale 2969: Tholian, Ian Ring Music TheoryTholian
Scale 2971Scale 2971: Aeolynyllic, Ian Ring Music TheoryAeolynyllic
Scale 2965Scale 2965: Darian, Ian Ring Music TheoryDarian
Scale 2957Scale 2957: Thygian, Ian Ring Music TheoryThygian
Scale 2989Scale 2989: Bebop Minor, Ian Ring Music TheoryBebop Minor
Scale 3005Scale 3005: Gycrygic, Ian Ring Music TheoryGycrygic
Scale 3037Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
Scale 2845Scale 2845: Baptian, Ian Ring Music TheoryBaptian
Scale 2909Scale 2909: Mocryllic, Ian Ring Music TheoryMocryllic
Scale 2717Scale 2717: Epygian, Ian Ring Music TheoryEpygian
Scale 2461Scale 2461: Sagian, Ian Ring Music TheorySagian
Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach
Scale 3997Scale 3997: Dogygic, Ian Ring Music TheoryDogygic
Scale 925Scale 925: Chromatic Hypodorian, Ian Ring Music TheoryChromatic Hypodorian
Scale 1949Scale 1949: Mathyllic, Ian Ring Music TheoryMathyllic

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.