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Scale 1875: "Persichetti Scale"

Scale 1875: Persichetti Scale, Ian Ring Music Theory

Fig 2-23 (cropped) from Twentieth Century Harmony, p.46. ISBN #0-393-09539-8

This scale was named after the music threorist Vincent Persichetti, owing to its use as an example of synthetic scale in his 1961 masterwork, Twentieth Century Harmony. The name was nominated in 2019 by Uzay Bora, PhD., an expert in scale naming schemas working in the department of musicology at the Dokuz Eylül Üniversitesi in Turkey.


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

Named After Composers
Persichetti Scale
Zeitler
Epyphian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,6,8,9,10}
Forte Number7-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2397
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 699
Deep Scaleno
Interval Vector344532
Interval Spectrump3m5n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1875 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2985
Scale 2985: Epacrian, Ian Ring Music TheoryEpacrian
3rd mode:
Scale 885
Scale 885: Sathian, Ian Ring Music TheorySathian
4th mode:
Scale 1245
Scale 1245: Lathian, Ian Ring Music TheoryLathian
5th mode:
Scale 1335
Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
6th mode:
Scale 2715
Scale 2715: Kynian, Ian Ring Music TheoryKynian
7th mode:
Scale 3405
Scale 3405: Stynian, Ian Ring Music TheoryStynian

Prime

The prime form of this scale is Scale 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Complement

The heptatonic modal family [1875, 2985, 885, 1245, 1335, 2715, 3405] (Forte: 7-26) is the complement of the pentatonic modal family [309, 849, 1101, 1299, 2697] (Forte: 5-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1875 is 2397

Scale 2397Scale 2397: Stagian, Ian Ring Music TheoryStagian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1875 is chiral, and its enantiomorph is scale 2397

Scale 2397Scale 2397: Stagian, Ian Ring Music TheoryStagian

Transformations:

T0 1875  T0I 2397
T1 3750  T1I 699
T2 3405  T2I 1398
T3 2715  T3I 2796
T4 1335  T4I 1497
T5 2670  T5I 2994
T6 1245  T6I 1893
T7 2490  T7I 3786
T8 885  T8I 3477
T9 1770  T9I 2859
T10 3540  T10I 1623
T11 2985  T11I 3246

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 1873Scale 1873: Dathimic, Ian Ring Music TheoryDathimic
Scale 1877Scale 1877: Aeroptian, Ian Ring Music TheoryAeroptian
Scale 1879Scale 1879: Mixoryllic, Ian Ring Music TheoryMixoryllic
Scale 1883Scale 1883, Ian Ring Music Theory
Scale 1859Scale 1859, Ian Ring Music Theory
Scale 1867Scale 1867: Solian, Ian Ring Music TheorySolian
Scale 1891Scale 1891: Thalian, Ian Ring Music TheoryThalian
Scale 1907Scale 1907: Lynyllic, Ian Ring Music TheoryLynyllic
Scale 1811Scale 1811: Kyptimic, Ian Ring Music TheoryKyptimic
Scale 1843Scale 1843: Ionygian, Ian Ring Music TheoryIonygian
Scale 1939Scale 1939: Dathian, Ian Ring Music TheoryDathian
Scale 2003Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1747Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya
Scale 1363Scale 1363: Gygimic, Ian Ring Music TheoryGygimic
Scale 851Scale 851: Raga Hejjajji, Ian Ring Music TheoryRaga Hejjajji
Scale 2899Scale 2899: Kagian, Ian Ring Music TheoryKagian
Scale 3923Scale 3923: Stoptyllic, Ian Ring Music TheoryStoptyllic

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.