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Scale 3357: "Phrodian"

Scale 3357: Phrodian, Ian Ring Music Theory

Common Names

Zeitler
Phrodian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,8,10,11}
Forte Number7-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1815
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 375
Deep Scaleno
Interval Vector443532
Interval Spectrump3m5n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3357 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1863
Scale 1863: Pycrian, Ian Ring Music TheoryPycrian
3rd mode:
Scale 2979
Scale 2979: Gyptian, Ian Ring Music TheoryGyptian
4th mode:
Scale 3537
Scale 3537: Katogian, Ian Ring Music TheoryKatogian
5th mode:
Scale 477
Scale 477: Stacrian, Ian Ring Music TheoryStacrian
6th mode:
Scale 1143
Scale 1143: Styrian, Ian Ring Music TheoryStyrian
7th mode:
Scale 2619
Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian

Prime

The prime form of this scale is Scale 375

Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian

Complement

The heptatonic modal family [3357, 1863, 2979, 3537, 477, 1143, 2619] (Forte: 7-13) is the complement of the pentatonic modal family [279, 369, 1809, 2187, 3141] (Forte: 5-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3357 is 1815

Scale 1815Scale 1815: Godian, Ian Ring Music TheoryGodian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3357 is chiral, and its enantiomorph is scale 1815

Scale 1815Scale 1815: Godian, Ian Ring Music TheoryGodian

Transformations:

T0 3357  T0I 1815
T1 2619  T1I 3630
T2 1143  T2I 3165
T3 2286  T3I 2235
T4 477  T4I 375
T5 954  T5I 750
T6 1908  T6I 1500
T7 3816  T7I 3000
T8 3537  T8I 1905
T9 2979  T9I 3810
T10 1863  T10I 3525
T11 3726  T11I 2955

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 3359Scale 3359: Bonyllic, Ian Ring Music TheoryBonyllic
Scale 3353Scale 3353: Phraptimic, Ian Ring Music TheoryPhraptimic
Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian
Scale 3349Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic
Scale 3341Scale 3341, Ian Ring Music Theory
Scale 3373Scale 3373: Lodian, Ian Ring Music TheoryLodian
Scale 3389Scale 3389: Socryllic, Ian Ring Music TheorySocryllic
Scale 3421Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic
Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach
Scale 3101Scale 3101, Ian Ring Music Theory
Scale 3229Scale 3229: Aeolaptian, Ian Ring Music TheoryAeolaptian
Scale 3613Scale 3613, Ian Ring Music Theory
Scale 3869Scale 3869: Bygyllic, Ian Ring Music TheoryBygyllic
Scale 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 2845Scale 2845: Baptian, Ian Ring Music TheoryBaptian
Scale 1309Scale 1309: Pogimic, Ian Ring Music TheoryPogimic

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. Bibliography