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Scale 1789: "Blues Enneatonic II"

Scale 1789: Blues Enneatonic II, 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 Enneatonic II
Zeitler
Katagygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,4,5,6,7,9,10}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2029
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1471
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1789 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1471
Scale 1471: Radygic, Ian Ring Music TheoryRadygicThis is the prime mode
3rd mode:
Scale 2783
Scale 2783: Gothygic, Ian Ring Music TheoryGothygic
4th mode:
Scale 3439
Scale 3439: Lythygic, Ian Ring Music TheoryLythygic
5th mode:
Scale 3767
Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
6th mode:
Scale 3931
Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
7th mode:
Scale 4013
Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
8th mode:
Scale 2027
Scale 2027: Boptygic, Ian Ring Music TheoryBoptygic
9th mode:
Scale 3061
Scale 3061: Apinygic, Ian Ring Music TheoryApinygic

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [1789, 1471, 2783, 3439, 3767, 3931, 4013, 2027, 3061] (Forte: 9-7) is the complement of the tritonic modal family [37, 641, 1033] (Forte: 3-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1789 is 2029

Scale 2029Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1789 is chiral, and its enantiomorph is scale 2029

Scale 2029Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi

Transformations:

T0 1789  T0I 2029
T1 3578  T1I 4058
T2 3061  T2I 4021
T3 2027  T3I 3947
T4 4054  T4I 3799
T5 4013  T5I 3503
T6 3931  T6I 2911
T7 3767  T7I 1727
T8 3439  T8I 3454
T9 2783  T9I 2813
T10 1471  T10I 1531
T11 2942  T11I 3062

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 1791Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllian
Scale 1785Scale 1785: Tharyllic, Ian Ring Music TheoryTharyllic
Scale 1787Scale 1787: Mycrygic, Ian Ring Music TheoryMycrygic
Scale 1781Scale 1781: Gocryllic, Ian Ring Music TheoryGocryllic
Scale 1773Scale 1773: Blues Scale II, Ian Ring Music TheoryBlues Scale II
Scale 1757Scale 1757, Ian Ring Music Theory
Scale 1725Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop
Scale 1661Scale 1661: Gonyllic, Ian Ring Music TheoryGonyllic
Scale 1917Scale 1917: Thydyllian, Ian Ring Music TheoryThydyllian
Scale 2045Scale 2045: Katogyllian, Ian Ring Music TheoryKatogyllian
Scale 1277Scale 1277: Zadyllic, Ian Ring Music TheoryZadyllic
Scale 1533Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic
Scale 765Scale 765, Ian Ring Music Theory
Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
Scale 3837Scale 3837: Minor Pentatonic With Leading Tones, Ian Ring Music TheoryMinor Pentatonic With Leading Tones

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.