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Scale 1481: "Zagimic"

Scale 1481: Zagimic, 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
Zagimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,6,7,8,10}
Forte Number6-Z46
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 629
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 599
Deep Scaleno
Interval Vector233331
Interval Spectrump3m3n3s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {9,10,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.366
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 TriadsD♯{3,7,10}221.2
G♯{8,0,3}131.6
Minor Triadscm{0,3,7}321
d♯m{3,6,10}231.4
Diminished Triads{0,3,6}221.2
Parsimonious Voice Leading Between Common Triads of Scale 1481. Created by Ian Ring ©2019 cm cm c°->cm d#m d#m c°->d#m D# D# cm->D# G# G# cm->G# d#m->D#

view full size

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.

Diameter3
Radius2
Self-Centeredno
Central Verticesc°, cm, D♯
Peripheral Verticesd♯m, G♯

Modes

Modes are the rotational transformation of this scale. Scale 1481 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 697
Scale 697: Lagimic, Ian Ring Music TheoryLagimic
3rd mode:
Scale 599
Scale 599: Thyrimic, Ian Ring Music TheoryThyrimicThis is the prime mode
4th mode:
Scale 2347
Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
5th mode:
Scale 3221
Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
6th mode:
Scale 1829
Scale 1829: Pathimic, Ian Ring Music TheoryPathimic

Prime

The prime form of this scale is Scale 599

Scale 599Scale 599: Thyrimic, Ian Ring Music TheoryThyrimic

Complement

The hexatonic modal family [1481, 697, 599, 2347, 3221, 1829] (Forte: 6-Z46) is the complement of the hexatonic modal family [347, 1457, 1579, 1733, 2221, 2837] (Forte: 6-Z24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1481 is 629

Scale 629Scale 629: Aeronimic, Ian Ring Music TheoryAeronimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1481 is chiral, and its enantiomorph is scale 629

Scale 629Scale 629: Aeronimic, Ian Ring Music TheoryAeronimic

Transformations:

T0 1481  T0I 629
T1 2962  T1I 1258
T2 1829  T2I 2516
T3 3658  T3I 937
T4 3221  T4I 1874
T5 2347  T5I 3748
T6 599  T6I 3401
T7 1198  T7I 2707
T8 2396  T8I 1319
T9 697  T9I 2638
T10 1394  T10I 1181
T11 2788  T11I 2362

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 1483Scale 1483: Mela Bhavapriya, Ian Ring Music TheoryMela Bhavapriya
Scale 1485Scale 1485: Minor Romani, Ian Ring Music TheoryMinor Romani
Scale 1473Scale 1473, Ian Ring Music Theory
Scale 1477Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam
Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti
Scale 1497Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
Scale 1513Scale 1513: Stathian, Ian Ring Music TheoryStathian
Scale 1417Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja
Scale 1449Scale 1449: Raga Gopikavasantam, Ian Ring Music TheoryRaga Gopikavasantam
Scale 1353Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns
Scale 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
Scale 1737Scale 1737: Raga Madhukauns, Ian Ring Music TheoryRaga Madhukauns
Scale 1993Scale 1993: Katoptian, Ian Ring Music TheoryKatoptian
Scale 457Scale 457: Staptitonic, Ian Ring Music TheoryStaptitonic
Scale 969Scale 969: Ionogimic, Ian Ring Music TheoryIonogimic
Scale 2505Scale 2505: Mydimic, Ian Ring Music TheoryMydimic
Scale 3529Scale 3529: Stalian, Ian Ring Music TheoryStalian

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.