Turkish Makams

Some of the following might be real Turkish makams with the correct names:

	[K S T S A12 S T]: Karcığar
	[K S T T B T T]: Acem or Uşşak or Beyâti
	[K S T T K S T]: Nevâ or Hüseynî
	[S A12 S T B T T]: Hümâyun
	[S A12 S T K S T]: Hicaz or Uzzâl. Might also be called Hicaz Ailesi?
	[S A12 S T S A12 S]: I think this one ascending it's called Zirgüleli Hicaz and descending it's called Hicazkâr. It happens to be a palindrome.
	[S T K S T T K]: Irak
	[S T K T S A13 B]: Segâh
	[T B T T B T T]: Bûselik or Nihavend
	[T K S T T K S]: Râst
	[T K S T S A12 S] : Basit Sûzinâk
	[T S A12 S T K S]: Nikriz
	[T T B T T T B]: Çârgâh
	[T S A12 S S A12 S]: Nev'eser

Those letters in the brackets indicate numbers of steps in 53-EDO, according to the following mapping:

	"F": 1,
	"E": 3,
	"B": 4,
	"S": 5,
	"K": 8,
	"T": 9,
	"A12": 12,
	"A13": 13,
.

Usually the "A" sized scale step is 12 steps of 53-EDO but sometimes it's 13, so I've indicated "A12" and "A13" throughout the makams. My sources mostly didn't notate this, and I just picked the version that made the octave complete and the whole set of scale intervals normal (i.e. natural or once modified). Also, F and E don't really show up. If pretended that E showed up sometimes, then we can call it BASKET notation. I'll just stick with BSKTA in ascending order of size.

Some makams have a different form when descending:

	[-T -B -T -T -S -K -T]: Râst descending
	[-T -S -A12 -S -T -B -T]: Bûselik descending

There's a Saba makam, but it's a little more than an octave and I'm confused where the tonic is. It's sometimes written like this: [K S S A B T S A S]. If we lop off the first letters under the interpretation that they are an ornament below the tonic, then we get [S A13 B T S A12 S], which adds up to 53 steps and produces the normal intervals of [P1, A1, M3, P4, P5, A5, d8, P8]. That might sound kind of arbitrary, especially with how I snuck in both an A13 and an A12, but I tried a ton of things and that's the only one that works. It at least has an interpretation in terms of tetrachords? I think a Turkish music theorist would recognize [S A13 B] and [S A12 S] as two versions of the Hicaz tetrachord / dörtlüsü.

I think Küçek is also more than an octave. Haven't figured it out yet. I also don't understand the Ferahnâk makam and I'm done trying. I've seen it presented as two runs of notes, each less than an octave, and the notes aren't sorted, and there are differing accidentals if a note shows up more than once.

I think you normally go down Çârgâh the way you come up, but there's still a special name for the descending scale? It's Acemasiran or Acem Aşirân: [-B -T -T -T -B -T -T]. The name kind of looks like "the Assyrian form of the Acem makam", right? I don't know. I don't speak Turkish. Also, I think "Mâhûr" might be a synonym for Çârgâh. And I think Kürdî might also be descending Çârgâh? People love to say that although Çârgâh sounds like the western major scale it's not important to Turkish musicians. But they sure seem to have a lot of names for it. Or I'm analyzing things incorrectly.

If you go down Râst the way you came up, it's called Gerdâniye, [-S -K -T -T -S -K -T]. And I think Rast and Gerdaniye are both names for specific pitches in Turkish music, and Gerdaniye is an octave above Rast, so it's kind of a fitting name.

I've seen "Eviç" notated as [S T K S T T K], which is Irak, and as [S T T K S T K]. I've also read the claim that Eviç is the descending form of Irak. I wonder if Irak might refer to Iraq. Stranger things have happened.

Isfahân is a name for descending Beyâti. Which I think is also Acem and Uşşak. Maybe those three aren't all the same and I've made some mistakes. But I still pretty sure that Isfahân is [-T -T -B -T -T -S -K] instead of [K S T T B T T].[0, 5, 14, 19, 31, 36, 49, 53]

I've seen this as a variation on Râst: [T K S T T B T]. It might be called Acem'li or Pençgâh? I've also seen the reverse of that called Acem'li rast descending, [T B T T S K T].  And I've also seen [T S K T S K T] called Acem'li descending. I'm pretty lost.

Ali C. Gedik posted some turkish makams in terms of 53-EDO steps in their PhD thesis, "Automatic Transcription Of Traditional Turkish Art Music Recordings".

These ones match what I have above:
    rast = [0, 9, 17, 22, 31, 40, 48, 53]
    ussak = [0, 8, 13, 22, 31, 35, 44, 53]
    nihavend = [0, 9, 13, 22, 31, 35, 44, 53]
    huzzam = [0, 5, 14, 19, 31, 36, 49, 53]
    huseyni = [0, 8, 13, 22, 31, 39, 44, 53]

And these ones do not:
    hicaz = [0, 5, 17, 22, 31, 35, 39, 44, 53]
    segah = [0, 5, 14, 22, 31, 36, 45, 49, 53]
    kurdili_hicazkar = [0, 4, 13, 22, 31, 35, 44, 53]
    saba = [0, 8, 13, 18, 31, 35, 44, 49]
.
Hicaz and Segah have one more note here than I expected. Also, Saba doesn't have the octave. I hadn't heard of kurdili hicazkar. The Turkish wikipedia article on it makes it sound like a real banger: popular, uplifting, some kind of super group mecha makam made of three smaller ones but still having the regular number of scale degrees.

I think it's

    Kürdi’li Hicazkâr Makamı: [-T -T -B -T -T -T -B]

And sometimes there's an extra [-T -B -T] on top at the start as an ornament.