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Scale 2979: "Gyptian"

Scale 2979: Gyptian, 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
Gyptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,5,7,8,9,11}
Forte Number7-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2235
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 375
Deep Scaleno
Interval Vector443532
Interval Spectrump3m5n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Maximal Area Setno
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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♯{1,5,8}221.2
F{5,9,0}221.2
Minor Triadsfm{5,8,0}321
Augmented TriadsC♯+{1,5,9}231.4
Diminished Triads{5,8,11}131.6
Parsimonious Voice Leading Between Common Triads of Scale 2979. Created by Ian Ring ©2019 C# C# C#+ C#+ C#->C#+ fm fm C#->fm F F C#+->F f°->fm fm->F

view full size

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.

Diameter3
Radius2
Self-Centeredno
Central VerticesC♯, fm, F
Peripheral VerticesC♯+, f°

Modes

Modes are the rotational transformation of this scale. Scale 2979 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3537
Scale 3537: Katogian, Ian Ring Music TheoryKatogian
3rd mode:
Scale 477
Scale 477: Stacrian, Ian Ring Music TheoryStacrian
4th mode:
Scale 1143
Scale 1143: Styrian, Ian Ring Music TheoryStyrian
5th mode:
Scale 2619
Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian
6th mode:
Scale 3357
Scale 3357: Phrodian, Ian Ring Music TheoryPhrodian
7th mode:
Scale 1863
Scale 1863: Pycrian, Ian Ring Music TheoryPycrian

Prime

The prime form of this scale is Scale 375

Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian

Complement

The heptatonic modal family [2979, 3537, 477, 1143, 2619, 3357, 1863] (Forte: 7-13) is the complement of the pentatonic modal family [279, 369, 1809, 2187, 3141] (Forte: 5-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2979 is 2235

Scale 2235Scale 2235: Bathian, Ian Ring Music TheoryBathian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2979 is chiral, and its enantiomorph is scale 2235

Scale 2235Scale 2235: Bathian, Ian Ring Music TheoryBathian

Transformations:

T0 2979  T0I 2235
T1 1863  T1I 375
T2 3726  T2I 750
T3 3357  T3I 1500
T4 2619  T4I 3000
T5 1143  T5I 1905
T6 2286  T6I 3810
T7 477  T7I 3525
T8 954  T8I 2955
T9 1908  T9I 1815
T10 3816  T10I 3630
T11 3537  T11I 3165

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 2977Scale 2977, Ian Ring Music Theory
Scale 2981Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
Scale 2983Scale 2983: Zythyllic, Ian Ring Music TheoryZythyllic
Scale 2987Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
Scale 2995Scale 2995: Raga Saurashtra, Ian Ring Music TheoryRaga Saurashtra
Scale 2947Scale 2947, Ian Ring Music Theory
Scale 2963Scale 2963: Bygian, Ian Ring Music TheoryBygian
Scale 3011Scale 3011, Ian Ring Music Theory
Scale 3043Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic
Scale 2851Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
Scale 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
Scale 2467Scale 2467: Raga Padi, Ian Ring Music TheoryRaga Padi
Scale 3491Scale 3491: Tharian, Ian Ring Music TheoryTharian
Scale 4003Scale 4003: Sadyllic, Ian Ring Music TheorySadyllic
Scale 931Scale 931: Raga Kalakanthi, Ian Ring Music TheoryRaga Kalakanthi
Scale 1955Scale 1955: Sonian, Ian Ring Music TheorySonian

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.