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Scale 727: "Phradian"

Scale 727: Phradian, 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.

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
Phradian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,6,7,9}
Forte Number7-29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3433
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?yes
Deep Scaleno
Interval Vector344352
Interval Spectrump5m3n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 727 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2411
Scale 2411: Aeolorian, Ian Ring Music TheoryAeolorian
3rd mode:
Scale 3253
Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini
4th mode:
Scale 1837
Scale 1837: Dalian, Ian Ring Music TheoryDalian
5th mode:
Scale 1483
Scale 1483: Mela Bhavapriya, Ian Ring Music TheoryMela Bhavapriya
6th mode:
Scale 2789
Scale 2789: Zolian, Ian Ring Music TheoryZolian
7th mode:
Scale 1721
Scale 1721: Mela Vagadhisvari, Ian Ring Music TheoryMela Vagadhisvari

Prime

This is the prime form of this scale.

Complement

The heptatonic modal family [727, 2411, 3253, 1837, 1483, 2789, 1721] (Forte: 7-29) is the complement of the pentatonic modal family [331, 709, 1201, 1577, 2213] (Forte: 5-29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 727 is 3433

Scale 3433Scale 3433: Thonian, Ian Ring Music TheoryThonian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 727 is chiral, and its enantiomorph is scale 3433

Scale 3433Scale 3433: Thonian, Ian Ring Music TheoryThonian

Transformations:

T0 727  T0I 3433
T1 1454  T1I 2771
T2 2908  T2I 1447
T3 1721  T3I 2894
T4 3442  T4I 1693
T5 2789  T5I 3386
T6 1483  T6I 2677
T7 2966  T7I 1259
T8 1837  T8I 2518
T9 3674  T9I 941
T10 3253  T10I 1882
T11 2411  T11I 3764

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 725Scale 725: Raga Yamuna Kalyani, Ian Ring Music TheoryRaga Yamuna Kalyani
Scale 723Scale 723: Ionadimic, Ian Ring Music TheoryIonadimic
Scale 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian
Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic
Scale 711Scale 711: Raga Chandrajyoti, Ian Ring Music TheoryRaga Chandrajyoti
Scale 719Scale 719: Kanian, Ian Ring Music TheoryKanian
Scale 743Scale 743: Chromatic Hypophrygian Inverse, Ian Ring Music TheoryChromatic Hypophrygian Inverse
Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic
Scale 663Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimic
Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian
Scale 599Scale 599: Thyrimic, Ian Ring Music TheoryThyrimic
Scale 855Scale 855: Porian, Ian Ring Music TheoryPorian
Scale 983Scale 983: Thocryllic, Ian Ring Music TheoryThocryllic
Scale 215Scale 215, Ian Ring Music Theory
Scale 471Scale 471: Dodian, Ian Ring Music TheoryDodian
Scale 1239Scale 1239: Epaptian, Ian Ring Music TheoryEpaptian
Scale 1751Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
Scale 2775Scale 2775: Godyllic, Ian Ring Music TheoryGodyllic

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