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Scale 1413

Scale 1413, Ian Ring Music Theory

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,2,7,8,10}
Forte Number5-24
Rotational Symmetrynone
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 171
enantiomorph: 1077
Deep Scaleno
Interval Vector131221
Interval Spectrump2m2ns3dt
Distribution Spectra<1> = {1,2,5}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {7,10,11}
Spectra Variation3.2
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 1413 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1377
Scale 1377, Ian Ring Music Theory
3rd mode:
Scale 171
Scale 171, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2133
Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
5th mode:
Scale 1557
Scale 1557, Ian Ring Music Theory


The prime form of this scale is Scale 171

Scale 171Scale 171, Ian Ring Music Theory


The pentatonic modal family [1413, 1377, 171, 2133, 1557] is the negative of the heptatonic modal family [687, 1401, 1509, 1941, 2391, 3243, 3669]


The inverse of a scale is a reflection using the root as its axis. The inverse of 1413 is 1077

Scale 1077Scale 1077, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 1413 is chiral, and its enantiomorph is scale 1077

Scale 1077Scale 1077, Ian Ring Music Theory

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 1415Scale 1415, Ian Ring Music Theory
Scale 1409Scale 1409, Ian Ring Music Theory
Scale 1411Scale 1411, Ian Ring Music Theory
Scale 1417Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja
Scale 1421Scale 1421: Raga Trimurti, Ian Ring Music TheoryRaga Trimurti
Scale 1429Scale 1429, Ian Ring Music Theory
Scale 1445Scale 1445: Raga Navamanohari, Ian Ring Music TheoryRaga Navamanohari
Scale 1477Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam
Scale 1285Scale 1285, Ian Ring Music Theory
Scale 1349Scale 1349, Ian Ring Music Theory
Scale 1157Scale 1157, Ian Ring Music Theory
Scale 1669Scale 1669: Raga Matha Kokila, Ian Ring Music TheoryRaga Matha Kokila
Scale 1925Scale 1925, Ian Ring Music Theory
Scale 389Scale 389, Ian Ring Music Theory
Scale 901Scale 901, Ian Ring Music Theory
Scale 2437Scale 2437, Ian Ring Music Theory
Scale 3461Scale 3461, Ian Ring Music Theory

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