The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2147

Scale 2147, Ian Ring Music Theory

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,5,6,11}
Forte Number5-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2243
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes4
Prime?no
prime: 199
Deep Scaleno
Interval Vector310132
Interval Spectrump3msd3t2
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6}
<3> = {6,7,10}
<4> = {7,8,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2147 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3121
Scale 3121, Ian Ring Music Theory
3rd mode:
Scale 451
Scale 451: Raga Saugandhini, Ian Ring Music TheoryRaga Saugandhini
4th mode:
Scale 2273
Scale 2273, Ian Ring Music Theory
5th mode:
Scale 199
Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga NabhomaniThis is the prime mode

Prime

The prime form of this scale is Scale 199

Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani

Complement

The pentatonic modal family [2147, 3121, 451, 2273, 199] (Forte: 5-7) is the complement of the heptatonic modal family [463, 967, 2279, 2531, 3187, 3313, 3641] (Forte: 7-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2147 is 2243

Scale 2243Scale 2243, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2147 is chiral, and its enantiomorph is scale 2243

Scale 2243Scale 2243, Ian Ring Music Theory

Transformations:

T0 2147  T0I 2243
T1 199  T1I 391
T2 398  T2I 782
T3 796  T3I 1564
T4 1592  T4I 3128
T5 3184  T5I 2161
T6 2273  T6I 227
T7 451  T7I 454
T8 902  T8I 908
T9 1804  T9I 1816
T10 3608  T10I 3632
T11 3121  T11I 3169

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 2145Scale 2145: Messiaen Truncated Mode 5 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 5 Inverse
Scale 2149Scale 2149, Ian Ring Music Theory
Scale 2151Scale 2151, Ian Ring Music Theory
Scale 2155Scale 2155, Ian Ring Music Theory
Scale 2163Scale 2163, Ian Ring Music Theory
Scale 2115Scale 2115, Ian Ring Music Theory
Scale 2131Scale 2131, Ian Ring Music Theory
Scale 2083Scale 2083, Ian Ring Music Theory
Scale 2211Scale 2211: Raga Gauri, Ian Ring Music TheoryRaga Gauri
Scale 2275Scale 2275: Messiaen Mode 5, Ian Ring Music TheoryMessiaen Mode 5
Scale 2403Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic
Scale 2659Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
Scale 3171Scale 3171: Zythimic, Ian Ring Music TheoryZythimic
Scale 99Scale 99, Ian Ring Music Theory
Scale 1123Scale 1123: Iwato, Ian Ring Music TheoryIwato

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