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Scale 1351: "Aeraptimic"

Scale 1351: Aeraptimic, 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

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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
Aeraptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,6,8,10}
Forte Number6-22
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3157
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 343
Deep Scaleno
Interval Vector241422
Interval Spectrump2m4ns4d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9,10}
<5> = {8,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1351 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2723
Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
3rd mode:
Scale 3409
Scale 3409: Katanimic, Ian Ring Music TheoryKatanimic
4th mode:
Scale 469
Scale 469: Katyrimic, Ian Ring Music TheoryKatyrimic
5th mode:
Scale 1141
Scale 1141: Rynimic, Ian Ring Music TheoryRynimic
6th mode:
Scale 1309
Scale 1309: Pogimic, Ian Ring Music TheoryPogimic

Prime

The prime form of this scale is Scale 343

Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic

Complement

The hexatonic modal family [1351, 2723, 3409, 469, 1141, 1309] (Forte: 6-22) is the complement of the hexatonic modal family [343, 1393, 1477, 1813, 2219, 3157] (Forte: 6-22)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1351 is 3157

Scale 3157Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1351 is chiral, and its enantiomorph is scale 3157

Scale 3157Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic

Transformations:

T0 1351  T0I 3157
T1 2702  T1I 2219
T2 1309  T2I 343
T3 2618  T3I 686
T4 1141  T4I 1372
T5 2282  T5I 2744
T6 469  T6I 1393
T7 938  T7I 2786
T8 1876  T8I 1477
T9 3752  T9I 2954
T10 3409  T10I 1813
T11 2723  T11I 3626

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 1349Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
Scale 1347Scale 1347, Ian Ring Music Theory
Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 1359Scale 1359: Aerygian, Ian Ring Music TheoryAerygian
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 1383Scale 1383: Pynian, Ian Ring Music TheoryPynian
Scale 1287Scale 1287, Ian Ring Music Theory
Scale 1319Scale 1319: Phronimic, Ian Ring Music TheoryPhronimic
Scale 1415Scale 1415, Ian Ring Music Theory
Scale 1479Scale 1479: Mela Jalarnava, Ian Ring Music TheoryMela Jalarnava
Scale 1095Scale 1095: Phrythitonic, Ian Ring Music TheoryPhrythitonic
Scale 1223Scale 1223: Phryptimic, Ian Ring Music TheoryPhryptimic
Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
Scale 1863Scale 1863: Pycrian, Ian Ring Music TheoryPycrian
Scale 327Scale 327: Syptitonic, Ian Ring Music TheorySyptitonic
Scale 839Scale 839: Ionathimic, Ian Ring Music TheoryIonathimic
Scale 2375Scale 2375: Aeolaptimic, Ian Ring Music TheoryAeolaptimic
Scale 3399Scale 3399: Zonian, Ian Ring Music TheoryZonian

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.