Back to all scales
The Exciting Universe Of Music Theory

presents more than you ever wanted to know about...

Scale 1587: "Raga Rudra Pancama"

Scale 1587: Raga Rudra Pancama, Ian Ring Music Theory

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,1,4,5,9,10}
Forte Number6-Z19
Rotational Symmetrynone
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
prime: 411
enantiomorph: 2445
Deep Scaleno
Interval Vector313431
Interval Spectrump3m4n3sd3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5}
<3> = {4,5,6,7,8}
<4> = {7,8,9}
<5> = {8,9,10,11}
Spectra Variation2.333
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 1587 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2841
Scale 2841, Ian Ring Music Theory
3rd mode:
Scale 867
Scale 867, Ian Ring Music Theory
4th mode:
Scale 2481
Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
5th mode:
Scale 411
Scale 411, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2253
Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya


The prime form of this scale is Scale 411

Scale 411Scale 411, Ian Ring Music Theory


The hexatonic modal family [1587, 2841, 867, 2481, 411, 2253] is the negative of the hexatonic modal family [615, 825, 915, 2355, 2505, 3225]


The inverse of a scale is a reflection using the root as its axis. The inverse of 1587 is 2445

Scale 2445Scale 2445, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 1587 is chiral, and its enantiomorph is scale 2445

Scale 2445Scale 2445, 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 1585Scale 1585: Raga Khamaji Durga, Ian Ring Music TheoryRaga Khamaji Durga
Scale 1589Scale 1589: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
Scale 1591Scale 1591, Ian Ring Music Theory
Scale 1595Scale 1595, Ian Ring Music Theory
Scale 1571Scale 1571, Ian Ring Music Theory
Scale 1579Scale 1579, Ian Ring Music Theory
Scale 1555Scale 1555, Ian Ring Music Theory
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1651Scale 1651: Asian, Ian Ring Music TheoryAsian
Scale 1715Scale 1715: Harmonic Minor inverse, Ian Ring Music TheoryHarmonic Minor inverse
Scale 1843Scale 1843, Ian Ring Music Theory
Scale 1075Scale 1075, Ian Ring Music Theory
Scale 1331Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
Scale 563Scale 563, Ian Ring Music Theory
Scale 2611Scale 2611: Raga Vasanta, Ian Ring Music TheoryRaga Vasanta
Scale 3635Scale 3635, 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