The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2717: "Epygian"

Scale 2717: Epygian, 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
Epygian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,7,9,11}
Forte Number7-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1835
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?no
prime: 695
Deep Scaleno
Interval Vector344451
Interval Spectrump5m4n4s4d3t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.549
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{0,4,7}331.43
G{7,11,2}142.14
Minor Triadscm{0,3,7}321.29
em{4,7,11}231.57
am{9,0,4}241.86
Augmented TriadsD♯+{3,7,11}331.43
Diminished Triads{9,0,3}231.71
Parsimonious Voice Leading Between Common Triads of Scale 2717. Created by Ian Ring ©2019 cm cm C C cm->C D#+ D#+ cm->D#+ cm->a° em em C->em am am C->am D#+->em Parsimonious Voice Leading Between Common Triads of Scale 2717. Created by Ian Ring ©2019 G D#+->G a°->am

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.

Diameter4
Radius2
Self-Centeredno
Central Verticescm
Peripheral VerticesG, am

Modes

Modes are the rotational transformation of this scale. Scale 2717 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1703
Scale 1703: Mela Vanaspati, Ian Ring Music TheoryMela Vanaspati
3rd mode:
Scale 2899
Scale 2899: Kagian, Ian Ring Music TheoryKagian
4th mode:
Scale 3497
Scale 3497: Phrolian, Ian Ring Music TheoryPhrolian
5th mode:
Scale 949
Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani
6th mode:
Scale 1261
Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues
7th mode:
Scale 1339
Scale 1339: Kycrian, Ian Ring Music TheoryKycrian

Prime

The prime form of this scale is Scale 695

Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian

Complement

The heptatonic modal family [2717, 1703, 2899, 3497, 949, 1261, 1339] (Forte: 7-27) is the complement of the pentatonic modal family [299, 689, 1417, 1573, 2197] (Forte: 5-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2717 is 1835

Scale 1835Scale 1835: Byptian, Ian Ring Music TheoryByptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2717 is chiral, and its enantiomorph is scale 1835

Scale 1835Scale 1835: Byptian, Ian Ring Music TheoryByptian

Transformations:

T0 2717  T0I 1835
T1 1339  T1I 3670
T2 2678  T2I 3245
T3 1261  T3I 2395
T4 2522  T4I 695
T5 949  T5I 1390
T6 1898  T6I 2780
T7 3796  T7I 1465
T8 3497  T8I 2930
T9 2899  T9I 1765
T10 1703  T10I 3530
T11 3406  T11I 2965

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 2719Scale 2719: Zocryllic, Ian Ring Music TheoryZocryllic
Scale 2713Scale 2713: Porimic, Ian Ring Music TheoryPorimic
Scale 2715Scale 2715: Kynian, Ian Ring Music TheoryKynian
Scale 2709Scale 2709: Raga Kumud, Ian Ring Music TheoryRaga Kumud
Scale 2701Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian
Scale 2733Scale 2733: Melodic Minor Ascending, Ian Ring Music TheoryMelodic Minor Ascending
Scale 2749Scale 2749: Katagyllic, Ian Ring Music TheoryKatagyllic
Scale 2781Scale 2781: Gycryllic, Ian Ring Music TheoryGycryllic
Scale 2589Scale 2589, Ian Ring Music Theory
Scale 2653Scale 2653: Sygian, Ian Ring Music TheorySygian
Scale 2845Scale 2845: Baptian, Ian Ring Music TheoryBaptian
Scale 2973Scale 2973: Panyllic, Ian Ring Music TheoryPanyllic
Scale 2205Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic
Scale 2461Scale 2461: Sagian, Ian Ring Music TheorySagian
Scale 3229Scale 3229: Aeolaptian, Ian Ring Music TheoryAeolaptian
Scale 3741Scale 3741: Zydyllic, Ian Ring Music TheoryZydyllic
Scale 669Scale 669: Gycrimic, Ian Ring Music TheoryGycrimic
Scale 1693Scale 1693: Dogian, Ian Ring Music TheoryDogian

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.