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Scale 1545

Scale 1545, Ian Ring Music Theory

i = imperfections

Tones4 (tetratonic)
Pitch Class Set{0,3,9,10}
Forte Number4-13
Rotational Symmetrynone
Palindromicno
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 75
Chiralityyes
enantiomorph: 525
Deep Scaleno
Interval Vector112011
Interval Spectrumpn2sdt
Distribution Spectra<1> = {1,2,3,6}
<2> = {3,5,7,9}
<3> = {6,9,10,11}
Spectra Variation4
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1545 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 705
Scale 705, Ian Ring Music Theory
3rd mode:
Scale 75
Scale 75, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2085
Scale 2085, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 75

Scale 75Scale 75, Ian Ring Music Theory

Negative

The tetratonic modal family [1545, 705, 75, 2085] is the negative of the octatonic modal family [735, 1785, 1995, 2415, 3045, 3255, 3675, 3885]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1545 is 525

Scale 525Scale 525, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1545 is chiral, and its enantiomorph is scale 525

Scale 525Scale 525, 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 1547Scale 1547, Ian Ring Music Theory
Scale 1549Scale 1549, Ian Ring Music Theory
Scale 1537Scale 1537, Ian Ring Music Theory
Scale 1541Scale 1541, Ian Ring Music Theory
Scale 1553Scale 1553, Ian Ring Music Theory
Scale 1561Scale 1561, Ian Ring Music Theory
Scale 1577Scale 1577: Raga Chandrakauns (Kafi), Ian Ring Music TheoryRaga Chandrakauns (Kafi)
Scale 1609Scale 1609, Ian Ring Music Theory
Scale 1673Scale 1673, Ian Ring Music Theory
Scale 1801Scale 1801, Ian Ring Music Theory
Scale 1033Scale 1033, Ian Ring Music Theory
Scale 1289Scale 1289, Ian Ring Music Theory
Scale 521Scale 521, Ian Ring Music Theory
Scale 2569Scale 2569, Ian Ring Music Theory
Scale 3593Scale 3593, 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