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Scale 1257: "Blues Scale"

Scale 1257: Blues Scale, 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 Scale
Blues
Carnatic Raga
Raga Nileshwari
Zeitler
Aeolyphimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,5,6,7,10}
Forte Number6-Z47
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 741
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes5
Prime?no
prime: 663
Deep Scaleno
Interval Vector233241
Interval Spectrump4m2n3s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7,8}
<4> = {7,8,9,10}
<5> = {9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsD♯{3,7,10}221
Minor Triadscm{0,3,7}221
d♯m{3,6,10}221
Diminished Triads{0,3,6}221
Parsimonious Voice Leading Between Common Triads of Scale 1257. Created by Ian Ring ©2019 cm cm c°->cm d#m d#m c°->d#m D# D# cm->D# d#m->D#

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter2
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1257 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 669
Scale 669: Gycrimic, Ian Ring Music TheoryGycrimic
3rd mode:
Scale 1191
Scale 1191: Pyrimic, Ian Ring Music TheoryPyrimic
4th mode:
Scale 2643
Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
5th mode:
Scale 3369
Scale 3369: Mixolimic, Ian Ring Music TheoryMixolimic
6th mode:
Scale 933
Scale 933: Dadimic, Ian Ring Music TheoryDadimic

Prime

The prime form of this scale is Scale 663

Scale 663Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimic

Complement

The hexatonic modal family [1257, 669, 1191, 2643, 3369, 933] (Forte: 6-Z47) is the complement of the hexatonic modal family [363, 1419, 1581, 1713, 2229, 2757] (Forte: 6-Z25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1257 is 741

Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1257 is chiral, and its enantiomorph is scale 741

Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic

Transformations:

T0 1257  T0I 741
T1 2514  T1I 1482
T2 933  T2I 2964
T3 1866  T3I 1833
T4 3732  T4I 3666
T5 3369  T5I 3237
T6 2643  T6I 2379
T7 1191  T7I 663
T8 2382  T8I 1326
T9 669  T9I 2652
T10 1338  T10I 1209
T11 2676  T11I 2418

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 1259Scale 1259: Stadian, Ian Ring Music TheoryStadian
Scale 1261Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues
Scale 1249Scale 1249, Ian Ring Music Theory
Scale 1253Scale 1253: Zolimic, Ian Ring Music TheoryZolimic
Scale 1265Scale 1265: Pynimic, Ian Ring Music TheoryPynimic
Scale 1273Scale 1273: Ronian, Ian Ring Music TheoryRonian
Scale 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
Scale 1241Scale 1241: Pygimic, Ian Ring Music TheoryPygimic
Scale 1193Scale 1193: Minor Pentatonic, Ian Ring Music TheoryMinor Pentatonic
Scale 1129Scale 1129: Raga Jayakauns, Ian Ring Music TheoryRaga Jayakauns
Scale 1385Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic
Scale 1513Scale 1513: Stathian, Ian Ring Music TheoryStathian
Scale 1769Scale 1769: Blues Heptatonic II, Ian Ring Music TheoryBlues Heptatonic II
Scale 233Scale 233, Ian Ring Music Theory
Scale 745Scale 745: Kolimic, Ian Ring Music TheoryKolimic
Scale 2281Scale 2281: Rathimic, Ian Ring Music TheoryRathimic
Scale 3305Scale 3305: Chromatic Hypophrygian, Ian Ring Music TheoryChromatic Hypophrygian

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.