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Scale 2293: "Gorian"

Scale 2293: Gorian, 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
Gorian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,5,6,7,11}
Forte Number7-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1507
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 2293 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1597
Scale 1597: Aeolodian, Ian Ring Music TheoryAeolodian
3rd mode:
Scale 1423
Scale 1423: Doptian, Ian Ring Music TheoryDoptian
4th mode:
Scale 2759
Scale 2759: Mela Pavani, Ian Ring Music TheoryMela Pavani
5th mode:
Scale 3427
Scale 3427: Zacrian, Ian Ring Music TheoryZacrian
6th mode:
Scale 3761
Scale 3761: Raga Madhuri, Ian Ring Music TheoryRaga Madhuri
7th mode:
Scale 491
Scale 491: Aeolyrian, Ian Ring Music TheoryAeolyrian

Prime

The prime form of this scale is Scale 431

Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian

Complement

The heptatonic modal family [2293, 1597, 1423, 2759, 3427, 3761, 491] (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 2293 is 1507

Scale 1507Scale 1507: Zynian, Ian Ring Music TheoryZynian

Enantiomorph

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

Scale 1507Scale 1507: Zynian, Ian Ring Music TheoryZynian

Transformations:

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

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 2295Scale 2295: Kogyllic, Ian Ring Music TheoryKogyllic
Scale 2289Scale 2289: Mocrimic, Ian Ring Music TheoryMocrimic
Scale 2291Scale 2291: Zydian, Ian Ring Music TheoryZydian
Scale 2297Scale 2297: Thylian, Ian Ring Music TheoryThylian
Scale 2301Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
Scale 2277Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
Scale 2285Scale 2285: Aerogian, Ian Ring Music TheoryAerogian
Scale 2261Scale 2261: Raga Caturangini, Ian Ring Music TheoryRaga Caturangini
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2165Scale 2165, Ian Ring Music Theory
Scale 2421Scale 2421: Malian, Ian Ring Music TheoryMalian
Scale 2549Scale 2549: Rydyllic, Ian Ring Music TheoryRydyllic
Scale 2805Scale 2805: Ishikotsucho, Ian Ring Music TheoryIshikotsucho
Scale 3317Scale 3317: Katynyllic, Ian Ring Music TheoryKatynyllic
Scale 245Scale 245: Raga Dipak, Ian Ring Music TheoryRaga Dipak
Scale 1269Scale 1269: Katythian, Ian Ring Music TheoryKatythian

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.