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Scale 1597: "Aeolodian"

Scale 1597: Aeolodian, 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
Aeolodian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,5,9,10}
Forte Number7-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1933
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 1597 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1423
Scale 1423: Doptian, Ian Ring Music TheoryDoptian
3rd mode:
Scale 2759
Scale 2759: Mela Pavani, Ian Ring Music TheoryMela Pavani
4th mode:
Scale 3427
Scale 3427: Zacrian, Ian Ring Music TheoryZacrian
5th mode:
Scale 3761
Scale 3761: Raga Madhuri, Ian Ring Music TheoryRaga Madhuri
6th mode:
Scale 491
Scale 491: Aeolyrian, Ian Ring Music TheoryAeolyrian
7th mode:
Scale 2293
Scale 2293: Gorian, Ian Ring Music TheoryGorian

Prime

The prime form of this scale is Scale 431

Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian

Complement

The heptatonic modal family [1597, 1423, 2759, 3427, 3761, 491, 2293] (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 1597 is 1933

Scale 1933Scale 1933: Mocrian, Ian Ring Music TheoryMocrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1597 is chiral, and its enantiomorph is scale 1933

Scale 1933Scale 1933: Mocrian, Ian Ring Music TheoryMocrian

Transformations:

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

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 1599Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
Scale 1593Scale 1593: Zogimic, Ian Ring Music TheoryZogimic
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 1589Scale 1589: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
Scale 1581Scale 1581: Raga Bagesri, Ian Ring Music TheoryRaga Bagesri
Scale 1565Scale 1565, Ian Ring Music Theory
Scale 1629Scale 1629: Synian, Ian Ring Music TheorySynian
Scale 1661Scale 1661: Gonyllic, Ian Ring Music TheoryGonyllic
Scale 1725Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop
Scale 1853Scale 1853: Maryllic, Ian Ring Music TheoryMaryllic
Scale 1085Scale 1085, Ian Ring Music Theory
Scale 1341Scale 1341: Madian, Ian Ring Music TheoryMadian
Scale 573Scale 573: Saptimic, Ian Ring Music TheorySaptimic
Scale 2621Scale 2621: Ionogian, Ian Ring Music TheoryIonogian
Scale 3645Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic

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.