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Scale 713

Scale 713, Ian Ring Music Theory

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,3,6,7,9}
Forte Number5-31
Rotational Symmetrynone
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 587
enantiomorph: 617
Deep Scaleno
Interval Vector114112
Interval Spectrumpmn4sdt2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {9,10,11}
Spectra Variation2
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 713 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 601
Scale 601, Ian Ring Music Theory
3rd mode:
Scale 587
Scale 587, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2341
Scale 2341: Raga Priyadharshini, Ian Ring Music TheoryRaga Priyadharshini
5th mode:
Scale 1609
Scale 1609, Ian Ring Music Theory


The prime form of this scale is Scale 587

Scale 587Scale 587, Ian Ring Music Theory


The pentatonic modal family [713, 601, 587, 2341, 1609] is the negative of the heptatonic modal family [731, 1627, 1739, 1753, 2413, 2861, 2917]


The inverse of a scale is a reflection using the root as its axis. The inverse of 713 is 617

Scale 617Scale 617, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 713 is chiral, and its enantiomorph is scale 617

Scale 617Scale 617, 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 715Scale 715: Messiaen truncated mode 2, Ian Ring Music TheoryMessiaen truncated mode 2
Scale 717Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga Vijayanagari
Scale 705Scale 705, Ian Ring Music Theory
Scale 709Scale 709: Raga Shri Kalyan, Ian Ring Music TheoryRaga Shri Kalyan
Scale 721Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
Scale 729Scale 729, Ian Ring Music Theory
Scale 745Scale 745, Ian Ring Music Theory
Scale 649Scale 649, Ian Ring Music Theory
Scale 681Scale 681: Kyemyonjo, Ian Ring Music TheoryKyemyonjo
Scale 585Scale 585: Diminished Seventh, Ian Ring Music TheoryDiminished Seventh
Scale 841Scale 841, Ian Ring Music Theory
Scale 969Scale 969, Ian Ring Music Theory
Scale 201Scale 201, Ian Ring Music Theory
Scale 457Scale 457, Ian Ring Music Theory
Scale 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
Scale 1737Scale 1737: Raga Madhukauns, Ian Ring Music TheoryRaga Madhukauns
Scale 2761Scale 2761, 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