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Scale 121

Scale 121, 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

Cardinality5 (pentatonic)
Pitch Class Set{0,3,4,5,6}
Forte Number5-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 961
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes4
Prime?no
prime: 79
Deep Scaleno
Interval Vector322111
Interval Spectrumpmn2s2d3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7,9}
<3> = {3,5,8,10}
<4> = {6,9,11}
Spectra Variation4.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 121 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 527
Scale 527, Ian Ring Music Theory
3rd mode:
Scale 2311
Scale 2311: Raga Kumarapriya, Ian Ring Music TheoryRaga Kumarapriya
4th mode:
Scale 3203
Scale 3203, Ian Ring Music Theory
5th mode:
Scale 3649
Scale 3649, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 79

Scale 79Scale 79, Ian Ring Music Theory

Complement

The pentatonic modal family [121, 527, 2311, 3203, 3649] (Forte: 5-4) is the complement of the heptatonic modal family [223, 1987, 2159, 3041, 3127, 3611, 3853] (Forte: 7-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 121 is 961

Scale 961Scale 961, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 121 is chiral, and its enantiomorph is scale 961

Scale 961Scale 961, Ian Ring Music Theory

Transformations:

T0 121  T0I 961
T1 242  T1I 1922
T2 484  T2I 3844
T3 968  T3I 3593
T4 1936  T4I 3091
T5 3872  T5I 2087
T6 3649  T6I 79
T7 3203  T7I 158
T8 2311  T8I 316
T9 527  T9I 632
T10 1054  T10I 1264
T11 2108  T11I 2528

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 123Scale 123, Ian Ring Music Theory
Scale 125Scale 125, Ian Ring Music Theory
Scale 113Scale 113, Ian Ring Music Theory
Scale 117Scale 117, Ian Ring Music Theory
Scale 105Scale 105, Ian Ring Music Theory
Scale 89Scale 89, Ian Ring Music Theory
Scale 57Scale 57, Ian Ring Music Theory
Scale 185Scale 185, Ian Ring Music Theory
Scale 249Scale 249, Ian Ring Music Theory
Scale 377Scale 377: Kathimic, Ian Ring Music TheoryKathimic
Scale 633Scale 633: Kydimic, Ian Ring Music TheoryKydimic
Scale 1145Scale 1145: Zygimic, Ian Ring Music TheoryZygimic
Scale 2169Scale 2169, Ian Ring Music Theory

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.