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Scale 2603: "Gadimic"

Scale 2603: Gadimic, 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

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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
Gadimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,5,9,11}
Forte Number6-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2699
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections5
Modes5
Prime?no
prime: 349
Deep Scaleno
Interval Vector242412
Interval Spectrumpm4n2s4d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,6}
<3> = {4,5,7,8}
<4> = {6,8,9,10}
<5> = {8,10,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area2.232
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 TriadsF{5,9,0}210.67
Augmented TriadsC♯+{1,5,9}121
Diminished Triads{9,0,3}121
Parsimonious Voice Leading Between Common Triads of Scale 2603. Created by Ian Ring ©2019 C#+ C#+ F F C#+->F F->a°

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 VerticesF
Peripheral VerticesC♯+, a°

Modes

Modes are the rotational transformation of this scale. Scale 2603 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3349
Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic
3rd mode:
Scale 1861
Scale 1861: Phrygimic, Ian Ring Music TheoryPhrygimic
4th mode:
Scale 1489
Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti
5th mode:
Scale 349
Scale 349: Borimic, Ian Ring Music TheoryBorimicThis is the prime mode
6th mode:
Scale 1111
Scale 1111: Sycrimic, Ian Ring Music TheorySycrimic

Prime

The prime form of this scale is Scale 349

Scale 349Scale 349: Borimic, Ian Ring Music TheoryBorimic

Complement

The hexatonic modal family [2603, 3349, 1861, 1489, 349, 1111] (Forte: 6-21) is the complement of the hexatonic modal family [349, 1111, 1489, 1861, 2603, 3349] (Forte: 6-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2603 is 2699

Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2603 is chiral, and its enantiomorph is scale 2699

Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic

Transformations:

T0 2603  T0I 2699
T1 1111  T1I 1303
T2 2222  T2I 2606
T3 349  T3I 1117
T4 698  T4I 2234
T5 1396  T5I 373
T6 2792  T6I 746
T7 1489  T7I 1492
T8 2978  T8I 2984
T9 1861  T9I 1873
T10 3722  T10I 3746
T11 3349  T11I 3397

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 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
Scale 2607Scale 2607: Aerolian, Ian Ring Music TheoryAerolian
Scale 2595Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic
Scale 2599Scale 2599: Malimic, Ian Ring Music TheoryMalimic
Scale 2611Scale 2611: Raga Vasanta, Ian Ring Music TheoryRaga Vasanta
Scale 2619Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian
Scale 2571Scale 2571, Ian Ring Music Theory
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic
Scale 2667Scale 2667: Byrian, Ian Ring Music TheoryByrian
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 2859Scale 2859: Phrycrian, Ian Ring Music TheoryPhrycrian
Scale 2091Scale 2091, Ian Ring Music Theory
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 3115Scale 3115, Ian Ring Music Theory
Scale 3627Scale 3627: Kalian, Ian Ring Music TheoryKalian
Scale 555Scale 555: Aeolycritonic, Ian Ring Music TheoryAeolycritonic
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic

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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.