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Scale 1471: "Radygic"

Scale 1471: Radygic, 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
Radygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,7,8,10}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 4021
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes8
Prime?yes
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1471 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2783
Scale 2783: Gothygic, Ian Ring Music TheoryGothygic
3rd mode:
Scale 3439
Scale 3439: Lythygic, Ian Ring Music TheoryLythygic
4th mode:
Scale 3767
Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
5th mode:
Scale 3931
Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
6th mode:
Scale 4013
Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
7th mode:
Scale 2027
Scale 2027: Boptygic, Ian Ring Music TheoryBoptygic
8th mode:
Scale 3061
Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
9th mode:
Scale 1789
Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II

Prime

This is the prime form of this scale.

Complement

The nonatonic modal family [1471, 2783, 3439, 3767, 3931, 4013, 2027, 3061, 1789] (Forte: 9-7) is the complement of the tritonic modal family [37, 641, 1033] (Forte: 3-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1471 is 4021

Scale 4021Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1471 is chiral, and its enantiomorph is scale 4021

Scale 4021Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi

Transformations:

T0 1471  T0I 4021
T1 2942  T1I 3947
T2 1789  T2I 3799
T3 3578  T3I 3503
T4 3061  T4I 2911
T5 2027  T5I 1727
T6 4054  T6I 3454
T7 4013  T7I 2813
T8 3931  T8I 1531
T9 3767  T9I 3062
T10 3439  T10I 2029
T11 2783  T11I 4058

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 1469Scale 1469: Epiryllic, Ian Ring Music TheoryEpiryllic
Scale 1467Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish Phrygian
Scale 1463Scale 1463, Ian Ring Music Theory
Scale 1455Scale 1455: Phrygiolian, Ian Ring Music TheoryPhrygiolian
Scale 1439Scale 1439: Rolyllic, Ian Ring Music TheoryRolyllic
Scale 1503Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllian
Scale 1535Scale 1535: Mixodyllian, Ian Ring Music TheoryMixodyllian
Scale 1343Scale 1343: Zalyllic, Ian Ring Music TheoryZalyllic
Scale 1407Scale 1407: Tharygic, Ian Ring Music TheoryTharygic
Scale 1215Scale 1215, Ian Ring Music Theory
Scale 1727Scale 1727: Sydygic, Ian Ring Music TheorySydygic
Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian
Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic
Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic
Scale 2495Scale 2495: Aeolocrygic, Ian Ring Music TheoryAeolocrygic
Scale 3519Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi

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.