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Scale 2501: "Ralimic"

Scale 2501: Ralimic, 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

Zeitler
Ralimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,6,7,8,11}
Forte Number6-Z43
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1139
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 359
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {5,6,7}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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 TriadsG{7,11,2}210.67
Minor Triadsbm{11,2,6}121
Diminished Triadsg♯°{8,11,2}121
Parsimonious Voice Leading Between Common Triads of Scale 2501. Created by Ian Ring ©2019 Parsimonious Voice Leading Between Common Triads of Scale 2501. Created by Ian Ring ©2019 G g#° g#° G->g#° bm bm G->bm

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
Radius1
Self-Centeredno
Central VerticesG
Peripheral Verticesg♯°, bm

Modes

Modes are the rotational transformation of this scale. Scale 2501 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1649
Scale 1649: Bolimic, Ian Ring Music TheoryBolimic
3rd mode:
Scale 359
Scale 359: Bothimic, Ian Ring Music TheoryBothimicThis is the prime mode
4th mode:
Scale 2227
Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula
5th mode:
Scale 3161
Scale 3161: Kodimic, Ian Ring Music TheoryKodimic
6th mode:
Scale 907
Scale 907: Tholimic, Ian Ring Music TheoryTholimic

Prime

The prime form of this scale is Scale 359

Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic

Complement

The hexatonic modal family [2501, 1649, 359, 2227, 3161, 907] (Forte: 6-Z43) is the complement of the hexatonic modal family [407, 739, 1817, 2251, 2417, 3173] (Forte: 6-Z17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2501 is 1139

Scale 1139Scale 1139: Aerygimic, Ian Ring Music TheoryAerygimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2501 is chiral, and its enantiomorph is scale 1139

Scale 1139Scale 1139: Aerygimic, Ian Ring Music TheoryAerygimic

Transformations:

T0 2501  T0I 1139
T1 907  T1I 2278
T2 1814  T2I 461
T3 3628  T3I 922
T4 3161  T4I 1844
T5 2227  T5I 3688
T6 359  T6I 3281
T7 718  T7I 2467
T8 1436  T8I 839
T9 2872  T9I 1678
T10 1649  T10I 3356
T11 3298  T11I 2617

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 2503Scale 2503: Mela Jhalavarali, Ian Ring Music TheoryMela Jhalavarali
Scale 2497Scale 2497, Ian Ring Music Theory
Scale 2499Scale 2499, Ian Ring Music Theory
Scale 2505Scale 2505: Mydimic, Ian Ring Music TheoryMydimic
Scale 2509Scale 2509: Double Harmonic Minor, Ian Ring Music TheoryDouble Harmonic Minor
Scale 2517Scale 2517: Harmonic Lydian, Ian Ring Music TheoryHarmonic Lydian
Scale 2533Scale 2533: Podian, Ian Ring Music TheoryPodian
Scale 2437Scale 2437, Ian Ring Music Theory
Scale 2469Scale 2469: Raga Bhinna Pancama, Ian Ring Music TheoryRaga Bhinna Pancama
Scale 2373Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic
Scale 2245Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 3013Scale 3013: Thynian, Ian Ring Music TheoryThynian
Scale 3525Scale 3525: Zocrian, Ian Ring Music TheoryZocrian
Scale 453Scale 453: Raditonic, Ian Ring Music TheoryRaditonic
Scale 1477Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam

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.