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Scale 1377

Scale 1377, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,5,6,8,10}
Forte Number5-24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 213
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 171
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
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1377 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 171
Scale 171, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2133
Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
4th mode:
Scale 1557
Scale 1557, Ian Ring Music Theory
5th mode:
Scale 1413
Scale 1413, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 171

Scale 171Scale 171, Ian Ring Music Theory

Complement

The pentatonic modal family [1377, 171, 2133, 1557, 1413] (Forte: 5-24) is the complement of the heptatonic modal family [687, 1401, 1509, 1941, 2391, 3243, 3669] (Forte: 7-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1377 is 213

Scale 213Scale 213, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1377 is chiral, and its enantiomorph is scale 213

Scale 213Scale 213, Ian Ring Music Theory

Transformations:

T0 1377  T0I 213
T1 2754  T1I 426
T2 1413  T2I 852
T3 2826  T3I 1704
T4 1557  T4I 3408
T5 3114  T5I 2721
T6 2133  T6I 1347
T7 171  T7I 2694
T8 342  T8I 1293
T9 684  T9I 2586
T10 1368  T10I 1077
T11 2736  T11I 2154

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 1379Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic
Scale 1381Scale 1381: Padimic, Ian Ring Music TheoryPadimic
Scale 1385Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic
Scale 1393Scale 1393: Mycrimic, Ian Ring Music TheoryMycrimic
Scale 1345Scale 1345, Ian Ring Music Theory
Scale 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 1313Scale 1313, Ian Ring Music Theory
Scale 1441Scale 1441, Ian Ring Music Theory
Scale 1505Scale 1505, Ian Ring Music Theory
Scale 1121Scale 1121, Ian Ring Music Theory
Scale 1249Scale 1249, Ian Ring Music Theory
Scale 1633Scale 1633, Ian Ring Music Theory
Scale 1889Scale 1889, Ian Ring Music Theory
Scale 353Scale 353, Ian Ring Music Theory
Scale 865Scale 865, Ian Ring Music Theory
Scale 2401Scale 2401, Ian Ring Music Theory
Scale 3425Scale 3425, 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. Bibliography