The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1207: "Aeoloptian"

Scale 1207: Aeoloptian, 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
Aeoloptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,5,7,10}
Forte Number7-25
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3493
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 733
Deep Scaleno
Interval Vector345342
Interval Spectrump4m3n5s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1207 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2651
Scale 2651: Panian, Ian Ring Music TheoryPanian
3rd mode:
Scale 3373
Scale 3373: Lodian, Ian Ring Music TheoryLodian
4th mode:
Scale 1867
Scale 1867: Solian, Ian Ring Music TheorySolian
5th mode:
Scale 2981
Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
6th mode:
Scale 1769
Scale 1769: Blues Heptatonic II, Ian Ring Music TheoryBlues Heptatonic II
7th mode:
Scale 733
Scale 733: Donian, Ian Ring Music TheoryDonianThis is the prime mode

Prime

The prime form of this scale is Scale 733

Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian

Complement

The heptatonic modal family [1207, 2651, 3373, 1867, 2981, 1769, 733] (Forte: 7-25) is the complement of the pentatonic modal family [301, 721, 1099, 1673, 2597] (Forte: 5-25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1207 is 3493

Scale 3493Scale 3493: Rathian, Ian Ring Music TheoryRathian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1207 is chiral, and its enantiomorph is scale 3493

Scale 3493Scale 3493: Rathian, Ian Ring Music TheoryRathian

Transformations:

T0 1207  T0I 3493
T1 2414  T1I 2891
T2 733  T2I 1687
T3 1466  T3I 3374
T4 2932  T4I 2653
T5 1769  T5I 1211
T6 3538  T6I 2422
T7 2981  T7I 749
T8 1867  T8I 1498
T9 3734  T9I 2996
T10 3373  T10I 1897
T11 2651  T11I 3794

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 1205Scale 1205: Raga Siva Kambhoji, Ian Ring Music TheoryRaga Siva Kambhoji
Scale 1203Scale 1203: Pagimic, Ian Ring Music TheoryPagimic
Scale 1211Scale 1211: Zadian, Ian Ring Music TheoryZadian
Scale 1215Scale 1215, Ian Ring Music Theory
Scale 1191Scale 1191: Pyrimic, Ian Ring Music TheoryPyrimic
Scale 1199Scale 1199: Magian, Ian Ring Music TheoryMagian
Scale 1175Scale 1175: Epycrimic, Ian Ring Music TheoryEpycrimic
Scale 1239Scale 1239: Epaptian, Ian Ring Music TheoryEpaptian
Scale 1271Scale 1271: Kolyllic, Ian Ring Music TheoryKolyllic
Scale 1079Scale 1079, Ian Ring Music Theory
Scale 1143Scale 1143: Styrian, Ian Ring Music TheoryStyrian
Scale 1335Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
Scale 1463Scale 1463, Ian Ring Music Theory
Scale 1719Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic
Scale 183Scale 183, Ian Ring Music Theory
Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian
Scale 2231Scale 2231: Macrian, Ian Ring Music TheoryMacrian
Scale 3255Scale 3255: Daryllic, Ian Ring Music TheoryDaryllic

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.