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Scale 3419: "Magen Abot 1"

Scale 3419: Magen Abot 1, 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. 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

Jewish
Magen Abot 1
Zeitler
Danyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,4,6,8,10,11}
Forte Number8-22
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2903
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes7
Prime?no
prime: 1391
Deep Scaleno
Interval Vector465562
Interval Spectrump6m5n5s6d4t2
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.75
Maximally Evenno
Maximal Area Setyes
Interior Area2.732
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3419 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3757
Scale 3757: Raga Mian Ki Malhar, Ian Ring Music TheoryRaga Mian Ki Malhar
3rd mode:
Scale 1963
Scale 1963: Epocryllic, Ian Ring Music TheoryEpocryllic
4th mode:
Scale 3029
Scale 3029: Ionocryllic, Ian Ring Music TheoryIonocryllic
5th mode:
Scale 1781
Scale 1781: Gocryllic, Ian Ring Music TheoryGocryllic
6th mode:
Scale 1469
Scale 1469: Epiryllic, Ian Ring Music TheoryEpiryllic
7th mode:
Scale 1391
Scale 1391: Aeradyllic, Ian Ring Music TheoryAeradyllicThis is the prime mode
8th mode:
Scale 2743
Scale 2743: Staptyllic, Ian Ring Music TheoryStaptyllic

Prime

The prime form of this scale is Scale 1391

Scale 1391Scale 1391: Aeradyllic, Ian Ring Music TheoryAeradyllic

Complement

The octatonic modal family [3419, 3757, 1963, 3029, 1781, 1469, 1391, 2743] (Forte: 8-22) is the complement of the tetratonic modal family [149, 673, 1061, 1289] (Forte: 4-22)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3419 is 2903

Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3419 is chiral, and its enantiomorph is scale 2903

Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic

Transformations:

T0 3419  T0I 2903
T1 2743  T1I 1711
T2 1391  T2I 3422
T3 2782  T3I 2749
T4 1469  T4I 1403
T5 2938  T5I 2806
T6 1781  T6I 1517
T7 3562  T7I 3034
T8 3029  T8I 1973
T9 1963  T9I 3946
T10 3926  T10I 3797
T11 3757  T11I 3499

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 3417Scale 3417: Golian, Ian Ring Music TheoryGolian
Scale 3421Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic
Scale 3423Scale 3423: Lothygic, Ian Ring Music TheoryLothygic
Scale 3411Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
Scale 3415Scale 3415: Ionaptyllic, Ian Ring Music TheoryIonaptyllic
Scale 3403Scale 3403: Bylian, Ian Ring Music TheoryBylian
Scale 3435Scale 3435: Prokofiev, Ian Ring Music TheoryProkofiev
Scale 3451Scale 3451: Garygic, Ian Ring Music TheoryGarygic
Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian
Scale 3387Scale 3387: Aeryptyllic, Ian Ring Music TheoryAeryptyllic
Scale 3483Scale 3483: Mixotharyllic, Ian Ring Music TheoryMixotharyllic
Scale 3547Scale 3547: Sadygic, Ian Ring Music TheorySadygic
Scale 3163Scale 3163: Rogian, Ian Ring Music TheoryRogian
Scale 3291Scale 3291: Lygyllic, Ian Ring Music TheoryLygyllic
Scale 3675Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic
Scale 3931Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
Scale 2395Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
Scale 2907Scale 2907: Magen Abot 2, Ian Ring Music TheoryMagen Abot 2
Scale 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian

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.