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Scale 1335: "Elephant Scale"

Scale 1335: Elephant Scale, Ian Ring Music Theory
This scale was named "Elephant Scale" by the 12tone YouTube channel, in the video "Can Random Notes Make A Scale?". 12tone does an exhaustive analysis of this scale - Watch it here!

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

12Tone
Elephant Scale
Zeitler
Aeralian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,5,8,10}
Forte Number7-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3477
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 699
Deep Scaleno
Interval Vector344532
Interval Spectrump3m5n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<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 1335 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2715
Scale 2715: Kynian, Ian Ring Music TheoryKynian
3rd mode:
Scale 3405
Scale 3405: Stynian, Ian Ring Music TheoryStynian
4th mode:
Scale 1875
Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale
5th mode:
Scale 2985
Scale 2985: Epacrian, Ian Ring Music TheoryEpacrian
6th mode:
Scale 885
Scale 885: Sathian, Ian Ring Music TheorySathian
7th mode:
Scale 1245
Scale 1245: Lathian, Ian Ring Music TheoryLathian

Prime

The prime form of this scale is Scale 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Complement

The heptatonic modal family [1335, 2715, 3405, 1875, 2985, 885, 1245] (Forte: 7-26) is the complement of the pentatonic modal family [309, 849, 1101, 1299, 2697] (Forte: 5-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1335 is 3477

Scale 3477Scale 3477: Kyptian, Ian Ring Music TheoryKyptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1335 is chiral, and its enantiomorph is scale 3477

Scale 3477Scale 3477: Kyptian, Ian Ring Music TheoryKyptian

Transformations:

T0 1335  T0I 3477
T1 2670  T1I 2859
T2 1245  T2I 1623
T3 2490  T3I 3246
T4 885  T4I 2397
T5 1770  T5I 699
T6 3540  T6I 1398
T7 2985  T7I 2796
T8 1875  T8I 1497
T9 3750  T9I 2994
T10 3405  T10I 1893
T11 2715  T11I 3786

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 1333Scale 1333: Lyptimic, Ian Ring Music TheoryLyptimic
Scale 1331Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
Scale 1339Scale 1339: Kycrian, Ian Ring Music TheoryKycrian
Scale 1343Scale 1343: Zalyllic, Ian Ring Music TheoryZalyllic
Scale 1319Scale 1319: Phronimic, Ian Ring Music TheoryPhronimic
Scale 1327Scale 1327: Zalian, Ian Ring Music TheoryZalian
Scale 1303Scale 1303: Epolimic, Ian Ring Music TheoryEpolimic
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 1399Scale 1399: Syryllic, Ian Ring Music TheorySyryllic
Scale 1463Scale 1463, Ian Ring Music Theory
Scale 1079Scale 1079, Ian Ring Music Theory
Scale 1207Scale 1207: Aeoloptian, Ian Ring Music TheoryAeoloptian
Scale 1591Scale 1591: Rodian, Ian Ring Music TheoryRodian
Scale 1847Scale 1847: Thacryllic, Ian Ring Music TheoryThacryllic
Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic
Scale 823Scale 823: Stodian, Ian Ring Music TheoryStodian
Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian
Scale 3383Scale 3383: Zoptyllic, Ian Ring Music TheoryZoptyllic

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.