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Scale 2943: "Dathyllian"

Scale 2943: Dathyllian, Ian Ring Music Theory

Common Names

Zeitler
Dathyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,3,4,5,6,8,9,11}
Forte Number10-3
Rotational Symmetrynone
Reflection Axes2.5
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections2
Modes9
Prime?no
prime: 1791
Deep Scaleno
Interval Vector889884
Interval Spectrump8m8n9s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {5,6,7}
<6> = {6,7,8}
<7> = {7,8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[5]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2943 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3519
Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi
3rd mode:
Scale 3807
Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
4th mode:
Scale 3951
Scale 3951: Mathyllian, Ian Ring Music TheoryMathyllian
5th mode:
Scale 4023
Scale 4023: Styptyllian, Ian Ring Music TheoryStyptyllian
6th mode:
Scale 4059
Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
7th mode:
Scale 4077
Scale 4077: Gothyllian, Ian Ring Music TheoryGothyllian
8th mode:
Scale 2043
Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn
9th mode:
Scale 3069
Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
10th mode:
Scale 1791
Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllianThis is the prime mode

Prime

The prime form of this scale is Scale 1791

Scale 1791Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllian

Complement

The decatonic modal family [2943, 3519, 3807, 3951, 4023, 4059, 4077, 2043, 3069, 1791] (Forte: 10-3) is the complement of the modal family [9, 513] (Forte: 2-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2943 is 4059

Scale 4059Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian

Transformations:

T0 2943  T0I 4059
T1 1791  T1I 4023
T2 3582  T2I 3951
T3 3069  T3I 3807
T4 2043  T4I 3519
T5 4086  T5I 2943
T6 4077  T6I 1791
T7 4059  T7I 3582
T8 4023  T8I 3069
T9 3951  T9I 2043
T10 3807  T10I 4086
T11 3519  T11I 4077

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 2941Scale 2941: Laptygic, Ian Ring Music TheoryLaptygic
Scale 2939Scale 2939: Goptygic, Ian Ring Music TheoryGoptygic
Scale 2935Scale 2935: Modygic, Ian Ring Music TheoryModygic
Scale 2927Scale 2927: Rodygic, Ian Ring Music TheoryRodygic
Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic
Scale 2879Scale 2879: Stadygic, Ian Ring Music TheoryStadygic
Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
Scale 3071Scale 3071: Solatic, Ian Ring Music TheorySolatic
Scale 2687Scale 2687: Thacrygic, Ian Ring Music TheoryThacrygic
Scale 2815Scale 2815: Aeradyllian, Ian Ring Music TheoryAeradyllian
Scale 2431Scale 2431: Gythygic, Ian Ring Music TheoryGythygic
Scale 3455Scale 3455: Ryptyllian, Ian Ring Music TheoryRyptyllian
Scale 3967Scale 3967: Soratic, Ian Ring Music TheorySoratic
Scale 895Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygic
Scale 1919Scale 1919: Rocryllian, Ian Ring Music TheoryRocryllian

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