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Scale 1403: "Espla's scale"

Also known as: Eight-tone Spanish

Scale 1403: Espla's scale, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,3,4,5,6,8,10}
Forte Number8-22
Rotational Symmetrynone
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 1391
enantiomorph: 3029
Deep Scaleno
Interval Vector465562
Interval Spectrump6m5n5s6d4t2
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.75
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 1403 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2749
Scale 2749, Ian Ring Music Theory
3rd mode:
Scale 1711
Scale 1711: Adonai Malakh, Ian Ring Music TheoryAdonai Malakh
4th mode:
Scale 2903
Scale 2903, Ian Ring Music Theory
5th mode:
Scale 3499
Scale 3499: Hamel, Ian Ring Music TheoryHamel
6th mode:
Scale 3797
Scale 3797, Ian Ring Music Theory
7th mode:
Scale 1973
Scale 1973, Ian Ring Music Theory
8th mode:
Scale 1517
Scale 1517, Ian Ring Music Theory


The prime form of this scale is Scale 1391

Scale 1391Scale 1391, Ian Ring Music Theory


The octatonic modal family [1403, 2749, 1711, 2903, 3499, 3797, 1973, 1517] is the negative of the tetratonic modal family [149, 673, 1061, 1289]


The inverse of a scale is a reflection using the root as its axis. The inverse of 1403 is 3029

Scale 3029Scale 3029, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 1403 is chiral, and its enantiomorph is scale 3029

Scale 3029Scale 3029, 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 1401Scale 1401, Ian Ring Music Theory
Scale 1405Scale 1405, Ian Ring Music Theory
Scale 1407Scale 1407, Ian Ring Music Theory
Scale 1395Scale 1395: Asian (a), Ian Ring Music TheoryAsian (a)
Scale 1399Scale 1399, Ian Ring Music Theory
Scale 1387Scale 1387: Locrian, Ian Ring Music TheoryLocrian
Scale 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian
Scale 1339Scale 1339, Ian Ring Music Theory
Scale 1467Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish Phrygian
Scale 1531Scale 1531, Ian Ring Music Theory
Scale 1147Scale 1147, Ian Ring Music Theory
Scale 1275Scale 1275, Ian Ring Music Theory
Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
Scale 1915Scale 1915, Ian Ring Music Theory
Scale 379Scale 379, Ian Ring Music Theory
Scale 891Scale 891, Ian Ring Music Theory
Scale 2427Scale 2427, Ian Ring Music Theory
Scale 3451Scale 3451, 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