The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1837: "Dalian"

Scale 1837: Dalian, Ian Ring Music Theory

Common Names

Zeitler
Dalian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,5,8,9,10}
Forte Number7-29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1693
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?no
prime: 727
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 1837 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1483
Scale 1483: Mela Bhavapriya, Ian Ring Music TheoryMela Bhavapriya
3rd mode:
Scale 2789
Scale 2789: Zolian, Ian Ring Music TheoryZolian
4th mode:
Scale 1721
Scale 1721: Mela Vagadhisvari, Ian Ring Music TheoryMela Vagadhisvari
5th mode:
Scale 727
Scale 727: Phradian, Ian Ring Music TheoryPhradianThis is the prime mode
6th mode:
Scale 2411
Scale 2411: Aeolorian, Ian Ring Music TheoryAeolorian
7th mode:
Scale 3253
Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini

Prime

The prime form of this scale is Scale 727

Scale 727Scale 727: Phradian, Ian Ring Music TheoryPhradian

Complement

The heptatonic modal family [1837, 1483, 2789, 1721, 727, 2411, 3253] (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 1837 is 1693

Scale 1693Scale 1693: Dogian, Ian Ring Music TheoryDogian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1837 is chiral, and its enantiomorph is scale 1693

Scale 1693Scale 1693: Dogian, Ian Ring Music TheoryDogian

Transformations:

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

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 1839Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic
Scale 1833Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic
Scale 1835Scale 1835: Byptian, Ian Ring Music TheoryByptian
Scale 1829Scale 1829: Pathimic, Ian Ring Music TheoryPathimic
Scale 1845Scale 1845: Lagian, Ian Ring Music TheoryLagian
Scale 1853Scale 1853: Maryllic, Ian Ring Music TheoryMaryllic
Scale 1805Scale 1805, Ian Ring Music Theory
Scale 1821Scale 1821: Aeradian, Ian Ring Music TheoryAeradian
Scale 1869Scale 1869: Katyrian, Ian Ring Music TheoryKatyrian
Scale 1901Scale 1901: Ionidyllic, Ian Ring Music TheoryIonidyllic
Scale 1965Scale 1965: Raga Mukhari, Ian Ring Music TheoryRaga Mukhari
Scale 1581Scale 1581: Raga Bagesri, Ian Ring Music TheoryRaga Bagesri
Scale 1709Scale 1709: Dorian, Ian Ring Music TheoryDorian
Scale 1325Scale 1325: Phradimic, Ian Ring Music TheoryPhradimic
Scale 813Scale 813: Larimic, Ian Ring Music TheoryLarimic
Scale 2861Scale 2861: Katothian, Ian Ring Music TheoryKatothian
Scale 3885Scale 3885: Styryllic, Ian Ring Music TheoryStyryllic

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