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Scale 3837: "Minor Pentatonic With Leading Tones"

Scale 3837: Minor Pentatonic With Leading Tones, Ian Ring Music Theory

Common Names

Western Modern
Minor Pentatonic With Leading Tones
Zeitler
Garyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,2,3,4,5,6,7,9,10,11}
Forte Number10-5
Rotational Symmetrynone
Reflection Axes4.5
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections1
Modes9
Prime?no
prime: 1983
Deep Scaleno
Interval Vector888894
Interval Spectrump9m8n8s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5}
<5> = {5,6,7}
<6> = {7,8}
<7> = {8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[9]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3837 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 1983
Scale 1983: Soryllian, Ian Ring Music TheorySoryllianThis is the prime mode
3rd mode:
Scale 3039
Scale 3039: Godyllian, Ian Ring Music TheoryGodyllian
4th mode:
Scale 3567
Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian
5th mode:
Scale 3831
Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
6th mode:
Scale 3963
Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian
7th mode:
Scale 4029
Scale 4029: Major/Minor Mixed, Ian Ring Music TheoryMajor/Minor Mixed
8th mode:
Scale 2031
Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
9th mode:
Scale 3063
Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
10th mode:
Scale 3579
Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian

Prime

The prime form of this scale is Scale 1983

Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian

Complement

The decatonic modal family [3837, 1983, 3039, 3567, 3831, 3963, 4029, 2031, 3063, 3579] (Forte: 10-5) is the complement of the modal family [33, 129] (Forte: 2-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3837 is 2031

Scale 2031Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian

Transformations:

T0 3837  T0I 2031
T1 3579  T1I 4062
T2 3063  T2I 4029
T3 2031  T3I 3963
T4 4062  T4I 3831
T5 4029  T5I 3567
T6 3963  T6I 3039
T7 3831  T7I 1983
T8 3567  T8I 3966
T9 3039  T9I 3837
T10 1983  T10I 3579
T11 3966  T11I 3063

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 3839Scale 3839: Mixolatic, Ian Ring Music TheoryMixolatic
Scale 3833Scale 3833: Dycrygic, Ian Ring Music TheoryDycrygic
Scale 3835Scale 3835, Ian Ring Music Theory
Scale 3829Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho
Scale 3821Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic
Scale 3805Scale 3805: Moptygic, Ian Ring Music TheoryMoptygic
Scale 3773Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
Scale 3709Scale 3709: Katynygic, Ian Ring Music TheoryKatynygic
Scale 3965Scale 3965: Messiaen Mode 7 Inverse, Ian Ring Music TheoryMessiaen Mode 7 Inverse
Scale 4093Scale 4093: Aerycratic, Ian Ring Music TheoryAerycratic
Scale 3325Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic
Scale 3581Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian
Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
Scale 1789Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II

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