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Scale 191

Scale 191, 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).

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,4,5,7}
Forte Number7-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 4001
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections4
Modes6
Prime?yes
Deep Scaleno
Interval Vector554331
Interval Spectrump3m3n4s5d5t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {3,4,7,8}
<4> = {4,5,8,9}
<5> = {5,6,9,10}
<6> = {7,10,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 191 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2143
Scale 2143, Ian Ring Music Theory
3rd mode:
Scale 3119
Scale 3119, Ian Ring Music Theory
4th mode:
Scale 3607
Scale 3607, Ian Ring Music Theory
5th mode:
Scale 3851
Scale 3851, Ian Ring Music Theory
6th mode:
Scale 3973
Scale 3973, Ian Ring Music Theory
7th mode:
Scale 2017
Scale 2017, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The heptatonic modal family [191, 2143, 3119, 3607, 3851, 3973, 2017] (Forte: 7-2) is the complement of the pentatonic modal family [47, 1921, 2071, 3083, 3589] (Forte: 5-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 191 is 4001

Scale 4001Scale 4001, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 191 is chiral, and its enantiomorph is scale 4001

Scale 4001Scale 4001, Ian Ring Music Theory

Transformations:

T0 191  T0I 4001
T1 382  T1I 3907
T2 764  T2I 3719
T3 1528  T3I 3343
T4 3056  T4I 2591
T5 2017  T5I 1087
T6 4034  T6I 2174
T7 3973  T7I 253
T8 3851  T8I 506
T9 3607  T9I 1012
T10 3119  T10I 2024
T11 2143  T11I 4048

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 189Scale 189, Ian Ring Music Theory
Scale 187Scale 187, Ian Ring Music Theory
Scale 183Scale 183, Ian Ring Music Theory
Scale 175Scale 175, Ian Ring Music Theory
Scale 159Scale 159, Ian Ring Music Theory
Scale 223Scale 223, Ian Ring Music Theory
Scale 255Scale 255, Ian Ring Music Theory
Scale 63Scale 63, Ian Ring Music Theory
Scale 127Scale 127, Ian Ring Music Theory
Scale 319Scale 319: Epodian, Ian Ring Music TheoryEpodian
Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic
Scale 703Scale 703: Aerocryllic, Ian Ring Music TheoryAerocryllic
Scale 1215Scale 1215, Ian Ring Music Theory
Scale 2239Scale 2239: Dacryllic, Ian Ring Music TheoryDacryllic

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.