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Scale 1321: "Blues Minor"

Scale 1321: Blues Minor, 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. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
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).

Common Names

Jazz and Blues
Blues Minor
Western Modern
Phrygian Pentatonic
Carnatic Raga
Raga Malkauns
Raga Malakosh
Raga Hindola
Chinese
Jue
Juédiào
Unknown / Unsorted
Man Gong
Quan Ming
Yi Ze
Jiao
Ethiopian
Shegaye
Zeitler
Epathitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,5,8,10}
Forte Number5-35
Rotational Symmetrynone
Reflection Axes4
Palindromicno
Chiralityno
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections1
Modes4
Prime?no
prime: 661
Deep Scaleno
Interval Vector032140
Interval Spectrump4mn2s3
Distribution Spectra<1> = {2,3}
<2> = {4,5}
<3> = {7,8}
<4> = {9,10}
Spectra Variation0.8
Maximally Evenyes
Myhill Propertyyes
Balancedno
Ridge Tones[8]
ProprietyStrictly Proper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1321 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 677
Scale 677: Scottish Pentatonic, Ian Ring Music TheoryScottish Pentatonic
3rd mode:
Scale 1193
Scale 1193: Minor Pentatonic, Ian Ring Music TheoryMinor Pentatonic
4th mode:
Scale 661
Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor PentatonicThis is the prime mode
5th mode:
Scale 1189
Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic

Prime

The prime form of this scale is Scale 661

Scale 661Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor Pentatonic

Complement

The pentatonic modal family [1321, 677, 1193, 661, 1189] (Forte: 5-35) is the complement of the heptatonic modal family [1387, 1451, 1453, 1709, 1717, 2741, 2773] (Forte: 7-35)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1321 is 661

Scale 661Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor Pentatonic

Transformations:

T0 1321  T0I 661
T1 2642  T1I 1322
T2 1189  T2I 2644
T3 2378  T3I 1193
T4 661  T4I 2386
T5 1322  T5I 677
T6 2644  T6I 1354
T7 1193  T7I 2708
T8 2386  T8I 1321
T9 677  T9I 2642
T10 1354  T10I 1189
T11 2708  T11I 2378

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 1323Scale 1323: Ritsu, Ian Ring Music TheoryRitsu
Scale 1325Scale 1325: Phradimic, Ian Ring Music TheoryPhradimic
Scale 1313Scale 1313, Ian Ring Music Theory
Scale 1317Scale 1317: Chaio, Ian Ring Music TheoryChaio
Scale 1329Scale 1329: Epygitonic, Ian Ring Music TheoryEpygitonic
Scale 1337Scale 1337: Epogimic, Ian Ring Music TheoryEpogimic
Scale 1289Scale 1289, Ian Ring Music Theory
Scale 1305Scale 1305: Dynitonic, Ian Ring Music TheoryDynitonic
Scale 1353Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns
Scale 1385Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic
Scale 1449Scale 1449: Raga Gopikavasantam, Ian Ring Music TheoryRaga Gopikavasantam
Scale 1065Scale 1065, Ian Ring Music Theory
Scale 1193Scale 1193: Minor Pentatonic, Ian Ring Music TheoryMinor Pentatonic
Scale 1577Scale 1577: Raga Chandrakauns (Kafi), Ian Ring Music TheoryRaga Chandrakauns (Kafi)
Scale 1833Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic
Scale 297Scale 297: Mynic, Ian Ring Music TheoryMynic
Scale 809Scale 809: Dogitonic, Ian Ring Music TheoryDogitonic
Scale 2345Scale 2345: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 3369Scale 3369: Mixolimic, Ian Ring Music TheoryMixolimic

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.