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Scale 3547: "Sadygic"

Scale 3547: Sadygic, 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

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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

Zeitler
Sadygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,4,6,7,8,10,11}
Forte Number9-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2935
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1775
Deep Scaleno
Interval Vector667773
Interval Spectrump7m7n7s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.111
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3547 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3821
Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic
3rd mode:
Scale 1979
Scale 1979: Aeradygic, Ian Ring Music TheoryAeradygic
4th mode:
Scale 3037
Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
5th mode:
Scale 1783
Scale 1783: Youlan Scale, Ian Ring Music TheoryYoulan Scale
6th mode:
Scale 2939
Scale 2939: Goptygic, Ian Ring Music TheoryGoptygic
7th mode:
Scale 3517
Scale 3517: Epocrygic, Ian Ring Music TheoryEpocrygic
8th mode:
Scale 1903
Scale 1903: Rocrygic, Ian Ring Music TheoryRocrygic
9th mode:
Scale 2999
Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed

Prime

The prime form of this scale is Scale 1775

Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic

Complement

The nonatonic modal family [3547, 3821, 1979, 3037, 1783, 2939, 3517, 1903, 2999] (Forte: 9-11) is the complement of the tritonic modal family [137, 289, 529] (Forte: 3-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3547 is 2935

Scale 2935Scale 2935: Modygic, Ian Ring Music TheoryModygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3547 is chiral, and its enantiomorph is scale 2935

Scale 2935Scale 2935: Modygic, Ian Ring Music TheoryModygic

Transformations:

T0 3547  T0I 2935
T1 2999  T1I 1775
T2 1903  T2I 3550
T3 3806  T3I 3005
T4 3517  T4I 1915
T5 2939  T5I 3830
T6 1783  T6I 3565
T7 3566  T7I 3035
T8 3037  T8I 1975
T9 1979  T9I 3950
T10 3958  T10I 3805
T11 3821  T11I 3515

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 3545Scale 3545: Thyptyllic, Ian Ring Music TheoryThyptyllic
Scale 3549Scale 3549: Messiaen Mode 3 Inverse, Ian Ring Music TheoryMessiaen Mode 3 Inverse
Scale 3551Scale 3551: Sagyllian, Ian Ring Music TheorySagyllian
Scale 3539Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 3543Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic
Scale 3531Scale 3531: Neveseri, Ian Ring Music TheoryNeveseri
Scale 3563Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
Scale 3579Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian
Scale 3483Scale 3483: Mixotharyllic, Ian Ring Music TheoryMixotharyllic
Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 3419Scale 3419: Magen Abot 1, Ian Ring Music TheoryMagen Abot 1
Scale 3291Scale 3291: Lygyllic, Ian Ring Music TheoryLygyllic
Scale 3803Scale 3803: Epidygic, Ian Ring Music TheoryEpidygic
Scale 4059Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
Scale 2523Scale 2523: Rygyllic, Ian Ring Music TheoryRygyllic
Scale 3035Scale 3035: Gocrygic, Ian Ring Music TheoryGocrygic
Scale 1499Scale 1499: Bebop Locrian, Ian Ring Music TheoryBebop Locrian

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.