The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2907: "Magen Abot 2"

Scale 2907: Magen Abot 2, 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 2
Zeitler
Mogyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,4,6,8,9,11}
Forte Number8-26
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes7
Prime?no
prime: 1467
Deep Scaleno
Interval Vector456562
Interval Spectrump6m5n6s5d4t2
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5}
<4> = {5,6,7}
<5> = {7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.25
Maximally Evenno
Maximal Area Setyes
Interior Area2.732
Myhill Propertyno
Balancedno
Ridge Tones[0]
ProprietyProper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsE{4,8,11}242.23
G♯{8,0,3}441.92
A{9,1,4}342.15
B{11,3,6}342.23
Minor Triadsc♯m{1,4,8}242.23
f♯m{6,9,1}342.23
g♯m{8,11,3}342.15
am{9,0,4}441.92
Augmented TriadsC+{0,4,8}441.85
Diminished Triads{0,3,6}242.31
d♯°{3,6,9}242.31
f♯°{6,9,0}242.31
{9,0,3}242.15
Parsimonious Voice Leading Between Common Triads of Scale 2907. Created by Ian Ring ©2019 G# G# c°->G# B B c°->B C+ C+ c#m c#m C+->c#m E E C+->E C+->G# am am C+->am A A c#m->A d#° d#° f#m f#m d#°->f#m d#°->B g#m g#m E->g#m f#° f#° f#°->f#m f#°->am f#m->A g#m->G# g#m->B G#->a° a°->am am->A

view full size

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2907 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3501
Scale 3501: Maqam Nahawand, Ian Ring Music TheoryMaqam Nahawand
3rd mode:
Scale 1899
Scale 1899: Moptyllic, Ian Ring Music TheoryMoptyllic
4th mode:
Scale 2997
Scale 2997: Major Bebop, Ian Ring Music TheoryMajor Bebop
5th mode:
Scale 1773
Scale 1773: Blues Scale II, Ian Ring Music TheoryBlues Scale II
6th mode:
Scale 1467
Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish PhrygianThis is the prime mode
7th mode:
Scale 2781
Scale 2781: Gycryllic, Ian Ring Music TheoryGycryllic
8th mode:
Scale 1719
Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic

Prime

The prime form of this scale is Scale 1467

Scale 1467Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish Phrygian

Complement

The octatonic modal family [2907, 3501, 1899, 2997, 1773, 1467, 2781, 1719] (Forte: 8-26) is the complement of the tetratonic modal family [297, 549, 657, 1161] (Forte: 4-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2907 is itself, because it is a palindromic scale!

Scale 2907Scale 2907: Magen Abot 2, Ian Ring Music TheoryMagen Abot 2

Transformations:

T0 2907  T0I 2907
T1 1719  T1I 1719
T2 3438  T2I 3438
T3 2781  T3I 2781
T4 1467  T4I 1467
T5 2934  T5I 2934
T6 1773  T6I 1773
T7 3546  T7I 3546
T8 2997  T8I 2997
T9 1899  T9I 1899
T10 3798  T10I 3798
T11 3501  T11I 3501

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 2905Scale 2905: Aeolian Flat 1, Ian Ring Music TheoryAeolian Flat 1
Scale 2909Scale 2909: Mocryllic, Ian Ring Music TheoryMocryllic
Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic
Scale 2899Scale 2899: Kagian, Ian Ring Music TheoryKagian
Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic
Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian
Scale 2923Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
Scale 2939Scale 2939: Goptygic, Ian Ring Music TheoryGoptygic
Scale 2843Scale 2843: Sorian, Ian Ring Music TheorySorian
Scale 2875Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
Scale 2971Scale 2971: Aeolynyllic, Ian Ring Music TheoryAeolynyllic
Scale 3035Scale 3035: Gocrygic, Ian Ring Music TheoryGocrygic
Scale 2651Scale 2651: Panian, Ian Ring Music TheoryPanian
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 2395Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
Scale 3419Scale 3419: Magen Abot 1, Ian Ring Music TheoryMagen Abot 1
Scale 3931Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
Scale 859Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrian
Scale 1883Scale 1883, Ian Ring Music Theory

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.