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Çeşni and ajnas — the building blocks

The central idea

Established Makams are not scales. They are assembled from smaller units — tetrachords and pentachords — joined at a shared pitch. The scale is what falls out of the assembly; it is a byproduct, not the definition.

Turkish theory calls these units çeşni (flavour). Arabic theory calls them jins (pl. ajnas, meaning genus/type). The concept is shared; the inventories and tunings differ.

This matters for the app: drill çeşni, not scales. A player who knows the Hicaz tetrachord in the hand can construct a dozen makams. A player who has memorised twelve scales has memorised twelve unrelated things.

Turkish çeşni

Named by size:

The interval sums are hard invariants. Use them as validation in the data layer.

Interval shorthand

SymbolNameCommas
Bbakiye4
Sküçük mücennep5
Kbüyük mücennep8
Ttanini9
Aartık ikili12

Tetrachords (dörtlü) — sum to 22

Established

ÇeşniPatternCommasOn DCharacter
ÇârgâhT T B9+9+4D E F♯ GMajor-like
BûselikT B T9+4+9D E F GMinor-like
KürdîB T T4+9+9D E♭ F GPhrygian
RastT K S9+8+5D E F♯↓ GNeutral third
UşşakS K T5+8+9D E↓ F GNeutral second
HicazS A S5+12+5D E♭ F♯ GAugmented second

Note that Rast and Uşşak contain no equal-tempered equivalent — the K interval (8 commas ≈ 181 ¢) sits between a minor and major second. These are the çeşni that require a fretless instrument.

Çârgâh, Bûselik, Kürdî and Hicaz are all playable in 12-TET, which is why those makams appear on keyboards and in Turkish pop.

Pentachords (beşli) — sum to 31

Established

ÇeşniPatternCommas
ÇârgâhT T B T9+9+4+9
BûselikT B T T9+4+9+9
KürdîB T T T4+9+9+9
RastT K S T9+8+5+9
HüseynîS K T T5+8+9+9
HicazS A S T5+12+5+9
NikrizT S A S9+5+12+5

Each is its tetrachord plus a tanini on top, except Nikriz and Hüseynî which have their own shapes.

Trichords (üçlü)

Attested Smaller units used where a makam's karar sits on a neutral pitch:

These generate the makams whose finalis is the segâh perde itself, which is one of the harder concepts for players coming from Western music: the tonic is a pitch that doesn't exist on a piano.

Arabic ajnas

Established The Arabic inventory overlaps but is named and grouped differently. The core ajnas:

JinsSizeRough intervals (¢)Turkish cousin
Ajamtetra200, 200, 100Çârgâh
Nahawandtetra200, 100, 200Bûselik
Kurdtetra100, 200, 200Kürdî
Rasttetra200, 150, 150Rast
Bayatitetra150, 150, 200Uşşak
Hijaztetra150, 250, 100Hicaz
Sabatetra+150, 150, 100(no close equivalent)
Sikahtri150, 200Segâh
Nikrizpenta200, 100, 300, 100Nikriz

Important caveat Practice: the cents figures above are the notational 24-TET values. Actual performance differs, and differs regionally. The Turkish and Arabic versions of "the same" jins are audibly distinct — Turkish Rast's third is around 385 ¢ (17 commas) while Arabic Rast's is notated at 350 ¢ and performed variously.

Saba is the interesting outlier. It doesn't span a clean fourth — its fourth degree is lowered, giving it a destabilised, plaintive quality with no Turkish one-to-one equivalent. Worth a dedicated study module.

How çeşni combine

Established A makam takes a lower çeşni on the karar and an upper çeşni starting on the pentachord's top note (if the lower is a beşli, the junction is the 5th degree; if a dörtlü, the 4th).

Examples:

Rast     = Rast beşli on G   + Rast dörtlü on D
Uşşak    = Uşşak dörtlü on A + Bûselik beşli on D
Hicaz    = Hicaz dörtlü on A + Rast beşli on D
Nihâvend = Bûselik beşli on G + Kürdî dörtlü on D
Nikriz   = Nikriz beşli on G + Rast dörtlü on D

Change the upper çeşni and you get a different makam over the same lower one. The Hicaz family is the clearest demonstration:

MakamLowerUpper
HicazHicaz dörtlü on ARast beşli on D
UzzâlHicaz beşli on AUşşak dörtlü on E
HümâyunHicaz beşli on ABûselik dörtlü on E
Zirgüleli HicazHicaz beşli on AHicaz dörtlü on E

Four makams, one shared lower çeşni, all commonly conflated by outsiders as "the Hicaz scale." A study app that teaches this distinction is doing something no scale dictionary does.

Suggested drill design

  1. Play the çeşni alone against a drone on its first degree
  2. Same çeşni transposed to three different karars
  3. Same lower çeşni with two different uppers — hear the makam change
  4. Identify a çeşni by ear from a short phrase
  5. Locate the çeşni on the neck in three different tunings

Sources

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