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Scale 1507: "Zynian"

Scale 1507: Zynian, 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
Zynian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,5,6,7,8,10}
Forte Number7-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2293
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?no
prime: 431
Deep Scaleno
Interval Vector443352
Interval Spectrump5m3n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Maximal Area Setno
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1507 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2801
Scale 2801: Zogian, Ian Ring Music TheoryZogian
3rd mode:
Scale 431
Scale 431: Epyrian, Ian Ring Music TheoryEpyrianThis is the prime mode
4th mode:
Scale 2263
Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
5th mode:
Scale 3179
Scale 3179: Daptian, Ian Ring Music TheoryDaptian
6th mode:
Scale 3637
Scale 3637: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
7th mode:
Scale 1933
Scale 1933: Mocrian, Ian Ring Music TheoryMocrian

Prime

The prime form of this scale is Scale 431

Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian

Complement

The heptatonic modal family [1507, 2801, 431, 2263, 3179, 3637, 1933] (Forte: 7-14) is the complement of the pentatonic modal family [167, 901, 1249, 2131, 3113] (Forte: 5-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1507 is 2293

Scale 2293Scale 2293: Gorian, Ian Ring Music TheoryGorian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1507 is chiral, and its enantiomorph is scale 2293

Scale 2293Scale 2293: Gorian, Ian Ring Music TheoryGorian

Transformations:

T0 1507  T0I 2293
T1 3014  T1I 491
T2 1933  T2I 982
T3 3866  T3I 1964
T4 3637  T4I 3928
T5 3179  T5I 3761
T6 2263  T6I 3427
T7 431  T7I 2759
T8 862  T8I 1423
T9 1724  T9I 2846
T10 3448  T10I 1597
T11 2801  T11I 3194

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 1505Scale 1505, Ian Ring Music Theory
Scale 1509Scale 1509: Ragian, Ian Ring Music TheoryRagian
Scale 1511Scale 1511: Styptyllic, Ian Ring Music TheoryStyptyllic
Scale 1515Scale 1515: Phrygian/Locrian Mixed, Ian Ring Music TheoryPhrygian/Locrian Mixed
Scale 1523Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic
Scale 1475Scale 1475, Ian Ring Music Theory
Scale 1491Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani
Scale 1443Scale 1443: Raga Phenadyuti, Ian Ring Music TheoryRaga Phenadyuti
Scale 1379Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic
Scale 1251Scale 1251: Sylimic, Ian Ring Music TheorySylimic
Scale 1763Scale 1763: Katalian, Ian Ring Music TheoryKatalian
Scale 2019Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic
Scale 483Scale 483: Kygimic, Ian Ring Music TheoryKygimic
Scale 995Scale 995: Phrathian, Ian Ring Music TheoryPhrathian
Scale 2531Scale 2531: Danian, Ian Ring Music TheoryDanian
Scale 3555Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.