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Scale 1453: "Aeolian"

Scale 1453: Aeolian, 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

Western
Aeolian
Minor
Natural Minor
Melodic Minor Descending
Ancient Greek
Greek Medieval Hypodorian
Greek Hypodorian
Greek Medieval Aeolian
Greek Hyperphrygian
Unknown / Unsorted
Pure Minor
Se
Chiao
Geez/Ezel
Kiourdi Descending
Cushak
Hindustani
Asavari That
Asavari Theta
Carnatic Mela
Mela Natabhairavi
Carnatic Raga
Raga Jaunpuri
Adana
Darbari
Dhanyasi
Jingla
Gregorian Numbered
Gregorian Number 2
Turkish
Makam Buselik
Arabic
Nihavend
Exoticisms
Peruvian Minor
Zeitler
Aeolian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,5,7,8,10}
Forte Number7-35
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections1
Modes6
Prime?no
prime: 1387
Deep Scaleyes
Interval Vector254361
Interval Spectrump6m3n4s5d2t
Distribution Spectra<1> = {1,2}
<2> = {3,4}
<3> = {5,6}
<4> = {6,7}
<5> = {8,9}
<6> = {10,11}
Spectra Variation0.857
Maximally Evenyes
Myhill Propertyyes
Balancedno
Ridge Tones[10]
ProprietyProper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1453 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1387
Scale 1387: Locrian, Ian Ring Music TheoryLocrianThis is the prime mode
3rd mode:
Scale 2741
Scale 2741: Major, Ian Ring Music TheoryMajor
4th mode:
Scale 1709
Scale 1709: Dorian, Ian Ring Music TheoryDorian
5th mode:
Scale 1451
Scale 1451: Phrygian, Ian Ring Music TheoryPhrygian
6th mode:
Scale 2773
Scale 2773: Lydian, Ian Ring Music TheoryLydian
7th mode:
Scale 1717
Scale 1717: Mixolydian, Ian Ring Music TheoryMixolydian

Prime

The prime form of this scale is Scale 1387

Scale 1387Scale 1387: Locrian, Ian Ring Music TheoryLocrian

Complement

The heptatonic modal family [1453, 1387, 2741, 1709, 1451, 2773, 1717] (Forte: 7-35) is the complement of the pentatonic modal family [661, 677, 1189, 1193, 1321] (Forte: 5-35)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1453 is 1717

Scale 1717Scale 1717: Mixolydian, Ian Ring Music TheoryMixolydian

Transformations:

T0 1453  T0I 1717
T1 2906  T1I 3434
T2 1717  T2I 2773
T3 3434  T3I 1451
T4 2773  T4I 2902
T5 1451  T5I 1709
T6 2902  T6I 3418
T7 1709  T7I 2741
T8 3418  T8I 1387
T9 2741  T9I 2774
T10 1387  T10I 1453
T11 2774  T11I 2906

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 1455Scale 1455: Phrygiolian, Ian Ring Music TheoryPhrygiolian
Scale 1449Scale 1449: Raga Gopikavasantam, Ian Ring Music TheoryRaga Gopikavasantam
Scale 1451Scale 1451: Phrygian, Ian Ring Music TheoryPhrygian
Scale 1445Scale 1445: Raga Navamanohari, Ian Ring Music TheoryRaga Navamanohari
Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
Scale 1469Scale 1469: Epiryllic, Ian Ring Music TheoryEpiryllic
Scale 1421Scale 1421: Raga Trimurti, Ian Ring Music TheoryRaga Trimurti
Scale 1437Scale 1437: Sabach ascending, Ian Ring Music TheorySabach ascending
Scale 1485Scale 1485: Minor Romani, Ian Ring Music TheoryMinor Romani
Scale 1517Scale 1517: Sagyllic, Ian Ring Music TheorySagyllic
Scale 1325Scale 1325: Phradimic, Ian Ring Music TheoryPhradimic
Scale 1389Scale 1389: Minor Locrian, Ian Ring Music TheoryMinor Locrian
Scale 1197Scale 1197: Minor Hexatonic, Ian Ring Music TheoryMinor Hexatonic
Scale 1709Scale 1709: Dorian, Ian Ring Music TheoryDorian
Scale 1965Scale 1965: Raga Mukhari, Ian Ring Music TheoryRaga Mukhari
Scale 429Scale 429: Koptimic, Ian Ring Music TheoryKoptimic
Scale 941Scale 941: Mela Jhankaradhvani, Ian Ring Music TheoryMela Jhankaradhvani
Scale 2477Scale 2477: Harmonic Minor, Ian Ring Music TheoryHarmonic Minor
Scale 3501Scale 3501: Maqam Nahawand, Ian Ring Music TheoryMaqam Nahawand

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.