Pro Manko de Edzino
Overly repetitive or trance-like and evolving? You decide!
Five Minute Piano Piece (MIDI Realization)
Overly repetitive or trance-like and evolving? You decide!
Five Minute Piano Piece (MIDI Realization)
No more classes till Monday! I'm going to sleep in and do homework!
Email to Mitch is bouncing. Bad Mitch!
there's a percussionist giving a master class on saturday. If people who up with sheet music, he'll play it and comment on it. I should try to write a percussion pice by then. or should i?
Not only was it a Wednesday, a relatively happy day during the week, since I don't have too many stressful classes, but the weather was so nice that it felt like home. I could walk around with only a shirt and light swearer and feel nice.
I gave my presentation about tuning during class today. It was a bit of a disaster. Aaron said it was ok and that people were just scared of math, but I think maybe he was just being nice. Nobody knows what it means to be out of tune. I said, "out of tune notes beat. Beating is out of tune. the paino beats, so therefore it is out of tune." I didn't help that I was showing them a Pythagorean Tuning Lattice. That lattice has really nice fifths, fourths and octaves and horrible thirds, so it's very very similar to Equal Temperment. I was on the way to talking about 5 limit intonation (which has wonderful thirds), when I played an example of the 7th and said, "that's a terrible 7th." and then I said something about how it didn't matter that thirds were terrible because they weren't considered consonant. And then the ethno types wanted to argue with me about consonance and dissonance. The ancient greeks thought it was consonant!! No, only string players would have used this tuning because it's horribly out of tune. No, it's in tune according to what they thought. Tuning is culturally constructed!
tuning is based on the overtone series. It is not socially constructed because it is centered around a physical fact. some notes are out of tune. the piano is out of tune and you're wrong, because not everything is culturally constructed.
uh yeah
(cxjo is Mitch. It's pronounced like "chjo." It is an Esperanto suffix for a male nickname. The female equivalent is njo, pronounced like "nyo." normally these go at the end of names. For example, instead of being Micxelo (Mitchell), one would be Micxjo (pronounced Meechjo). Or instead of being Celeste one would be called Cenjo (pronounced Tsenjo).
In Esperantio, I keep my name with it's current spelling, which in Esperanto is then pronounced Tselesteh. (that 'h' is not a typo, it's to show that the last 'e' isn't silent). Female names can also end with an 'o' or an 'a', so I could be Celesto or Celesta. (some folks want to end all female names with 'a,' but it's not a standard at all. As far as esperantizing names goes, I don't think anyone would tack an 'a' on to the end of a male name. Mitchell would not become Micxela, unless there's a woman named Mitchell.) If I don't like the 'ts' sound and want to have my sibilant at the sart, I can respell my name to Seleste, Selesto, or Selesta. Or to have it sound just like it's english pronunciation, I could spell it Selest, but I feel so naked without a vowel at the end. Also, there's an advantage to not changing the spelling if the pronunciation is similar enough, so people could recognize it written down. and I'm used to people who speak Spanish and Italian and others pronouncing it in their own languages.
there you have it. now i must get back to work. I need to write a five minute piano piece. I wonder if i should just have the player plays keys or do something more silly inside the piano.)
the suspence is killing me
christi really likes her Paris apt (maybe she posted this in her own blog). she called my housemate today and said he should tell me that she loves me. awww. :) She's apparently fighting jetlag. and I'm not supossed to mail her brownies because they'll rot while sitting in customs.
My home away from home now has a futon, so if you want to <subliminal>come visit</subliminal>, there is now a place for you to sleep. Visitors are highly encouraged to first stop by my house in Berkeley and grab a set of queen size sheets before coming (flying out of Oakland is cheep). Don't worry. Although I don't have any queen size sheets here (although I have many sets in Berkley, including a flanel set that Tiffany gave me to use here that I thought I packed, but can't find), I do have a hostel-style sleep sack to put you in. You will have a warm and squishy (but not too squishy) place to sleep.
No, not Belles. For news on Christi, see the wife item. Church Bells in France.
Archeologists have dug up casting molds for medival church bells in France. from these casts, one can tell the height, shape and thickness of the bells. I learned this by chatting with the Monastic Utopia professor. He says that he knows of no reasearch determining the tuning of these bells, nor any sound modelling. (!!!!) I asked Ron about this and he got really excited and told me to go talk to bell makers about materials. It might be that the material is very important for the pitch and tambre (tambre is tone or "color") and that's why nobody has written a paper on it. Or it may be that nobody has thougt about writing a paper on it because the computer modelling is hard, not yet developed, or so new that nobody has yet applied it to this research. I'm strongly hoping that it's the later. I'm hoping that I can create a bell program in SuperCollider that takes archeological measurements and returns a synthesized bell tone. If I can't do that, I hope to be able to at least determine the tuning of the bells.
this is a fantastic research project because once the computer program is written, the project becomes really easy. Just dig through mountains of archeological records to find bell measurements, plug them into the prgram and get results out the other end. and if nobody's done it before, it qualifies as a possible thesis. I can't do it for my final project in supercollider, though, because I need to play my final project at SUNY.
Because of the disasterous Rhode Island nightclub fire last year, the SUNY firemarshall now requires that out-of-state acts submit the names of two contacts who are willing to certify that the act in question does not contain pyrotechnics.
I need to find two people to swear that I don't set things on fire as a part of my laptop music (which has never been peformed). So much for my idea of hooking up heat sensors to giant fireballs.
I'm hoping that I can get Jack Straw to be my one witness and Ron to be my other, since it's going to be a class project.
Celeste hutchins
Graduate Pedagogy
I attended ARHA 213: Monastic Utopias. The class topic is architecture of Christian monastic buildings before 1300. to talk about this, the teacher uses two slide projectors which show pictures of architectural drawings and photographs of extant buildings or ruins or woodcuts of what the buildings used to look like or art from said buildings. He uses a laser pointer to point out whatever features that he is discussing. This class takes place early in the morning in a dark classroom, but when I was there, all the students appeared to be awake.
The use of slides leads to students facing away from the professor, since he sits at the back of the classroom by the slide projectors and the slides are projected onto the front wall.
Periodically, the professor will stop lecturing and ask the class leading questions, either ones that they know the answer to or ones that the only know part of the answer to. He will use their answers to fill in gaps in discussed material or to go on to new topics. Sometimes he asks questions which they can only guess at and when someone makes an obvious answer, he will say something like, "I would completely agree, but other evidence says it's exactly the opposite." His initial agreement acts as praise to the student and his subsequent disagreement gets the other students attention and helps point out that answers are not obvious. He may then explicitly discuss pedagogy and talk to students about how to reason from evidence. I talked to him after class and he said that his highest hope was that students learn to ask the right sort of historically relevant questions.
When the professor makes an important point, he may highlight it by spelling out the vocabulary word that he just used, thus cueing students to write it down. He uses the history of architecture to explain trends in Christianity, for instance that pointing out that one church's crypt is an exact replica of another church's crypt, because the second church was gaining power and the first church wanted to ally themselves with the power and legitimacy of the first church. Thus, he talks about political developments through architecture and architectural copying. this is like a music history class, which also touches on politics and how it affects written music.
The teacher will break up the class a bit. He spends a while lecturing from the slides and then will pause to take or ask questions. He might then return to the slides or lecture without the aid of pictures. When he's taking questions, he may quietly advance the slide, thus cueing students that he's ready to move on when they are. when he's giving the lecture he may signal important points through spelling, or stress in his voice. He occasionally will make a joke about the material, lightening the mood and perhaps signaling a change in importance in the material. for instance, he mentioned something in passing about St Cruddedon and made a remark that the saint's parents must not have liked him very much, or they would have named him David or Bill. The students only laughed a little at this (it only deserves a little laugh), but it did relax them a bit.
didn't do any work all weekend and slept in today and now i'm behind behind behind. a mountain of stuff is about to fall on me.
I can't get supercollider to record my stupid sound samples. all the time spent on that is wasted
Just talked to a second year masters guy who talked about how his relationship of 8 years completely fell apart while he went to wesleyan last year because they were seperated and he was too busy to call frequently or write frequently and they became completely estranged. this was during gamelan. i'm blaming this conversation for why i cannot play any of the music. weeks of practcing and i have not gotten better. i still get lost all the time. i have no idea how to play the instrument i was on tonight. it's only the first piece of music that he gave us. i should have done intro gamelan instead.
i'm supossed to be sleeping right now so i get up on time to look at slides of medival ruins.
I'm scheduled to teach "anything" to my seminar on Wednesday. I though I should tackle tuning. This talk is just written and the sound samples and diagrams have not yet been generated.
Lou Harrison said that "Just Intonation is the best intonation." An intonation is a type of tuning. Just tuning is a tuning that uses fractions. In just intonation, pitches are set using whole number ratios. To understand this, let's look at the harmonic series.
The fundamental is the base frequency. (sound sample)
The first overtone is twice the base frequency. It's relationship to the base frequency is 2/1. In other words, the base frequency * 2 = the first overtone. this makes a perfect (or just) octave. (sound sample)
The second overtone is 3 times the base frequency. It makes an octave plus a fifth. this fifth is perfectly in tune with the base frequency and the first overtone. (sound sample) but is an octave too high to use in a scale between those two notes. We can divide it by 2 to make it an octave lower. this new pitch, the fifth between the base frequency and the octave, is related to the base frequency by a ratio of 3/2. (sound sample) The three comes from it's place in the harmonic series. The two comes from dividing it down to be in the first octave.
All notes in the first octave, will be between the ratios of the base frequency, which is 1/1 and the octave, which is 2/1. If something is too small, it is below 1/1, and if it's too large it's over 2/1. We can transpose it to the correct octave by multiplying or dividing by 2.
Therefore 2's are very important for transposition, but they don't change a pitch, except by octave. If the base frequency is C and we multiply it by 3, we get a G. If we multiply it by 3/2s, we also get a G, but in the first octave. so 2's are "for free" you can multiply and divide by them any time you need to change the octave and you will still have the same note as before, just an octave higher or lower.
the inversion of a fifth is a fourth. So we can invert the fifth fraction to get a fourth. the inversion of 3/2 is 2/3. But 2/3 is too small. It is not between 1/1 and 2/1. We can multiply it by 2, to get 4/3, a perfect just fourth. (sound sample)
You can do this with any tuning fraction. Invert it to find the inversion, then multiply or divide it by 2 to put it in the correct octave.
3/2, the perfect, just fifth is a ratio made up of small, whole numbers. Small numbers sound more in tune because they are lower in the harmonic series. 3/2 is the most in-tune sounding note that you can get aside from the perfect octave.
There's a story that pythagoras was walking by blacksmith shop and heard very harmonius sounds. After experimenting with the smiths, he discovered two excellent intervals, 3/2 and 9/8.
9/8 is a major second and since it still has small numbers, it sounds really good. (sound sample)
From this, he hypothesized that good rations were made up of powers of 3 over powers of 2 and their inversions. You know that the circle of fifths will eventually take you through all 11 notes in an octave. According to pythagoras, you can use this to tune all the notes. First, turn the first two strings as a perfect 3/2 fifth. Then tune from the 3/2 to the next fifth, a 9/8. then tune from the 9/8 to the next fifth, the 27/16. Notice that everyone of these ratios is a power of 3 over a power of 2.
You can create a chart of these (pass out handout) called a tuning lattice. a lattice of powers of 3 over powers of 2 is called a Pythagorean tuning lattice. The line on your handouts at the top is a pythagorean tuning lattice. Below that, is chart of them in oder of the notes in the scale. Notice that E, the third is not a small number ratio. It is 81/64. This was considered ok at the time because thirds weren't considered consonant. Notice also, that the octaves don't line up. The octave, instead of being 2/1 is 243/128.
this is a sound sample of the tuning lattice going around the circle of fifths. (sound sample). This is a sound sample of it climbing the scale diatonically and then chromatically (sound sample). And this sound sample shows the difference between 243/128 and a 2/1 octave.
That last example demonstrates why mixing in other numbers than just three is a good idea. People often use 5's, 7's and sometimes higher prime numbers like 11's. Your tuning system draws it's name from the largest prime number that you use. A tuning that used 2's and 3's is a 3-limit tuning. One that uses 2'3, 3's and 5's is a 5-limit tuning.
(Draw on blackboard) this is a tuning lattice of 5's. This note 5/4 is a just third. The ratio has much smaller numbers than the pythagorean third. This is the pythagorean third (sound sample). This is the 5-limit third (sound sample). there's almost a quarter-tone difference between them (sound sample).
When you are drawing lattices, every new prime number gets a new axis. so a tuning lattice could be thought of as an N-dimensional array, where N is the number of prime numbers. this one, with 5's and 3's is a two dimensional array. If we added 7's, we'd need a new axis and we'd have a three dimensional array.
We can add notes to our lattice that are multiples of 5's and 3's. (draw on blackboard) All of these notes are the note right below it multiplied by 3/2s. Remember before, that multiplying fractions was raising them. Like 3/2 * 3/2 makes a note a fifth above. So because all of these notes are multiplies by 3/2s, they are all a fifth higher than the notes below them.
this is useful for two reasons. One is that 6/5 is the smallest numbers ratio we've yet seen for d#, the minor third. (sound sample). So adding lines like this helps us find extra ratios. the other thing that it's good for is transposing. All of these notes are the same as the ones right below it, but raised by a fifth. So you might use this when you modulate to a new key.
composers use lattices like these to figure out what tunings they want to use in their piece and then manipulate them for key changes and transpositions. they then use this to give instructions to instrumentalists or to program them into synthesizers.
One composer that uses tuning lattices to figure out how to tune her instrument is Ellen Fullman. She uses larger prime numbers to tune the many strings of her Long String Instrument. This track is based on a sweep of the harmonics of a C chord. (sound sample)
I did a wordlcat search on the mystery play about Joan of Arc. worldcat is a nifty tool that lets you search university libraries all over the world. anyway, I found the text of the original play in old French and new French, a face to face translation from a language that I can't read to another language that I can't read. It's possible that I could make out old French like one could make out middle English. The play was written in 1429 and this was around the time that english and French were seperating into distinct languages. Before that, everyone spoke the Norman language. anyway, the book is in 43 libraries worldwide, but it turns out that one of them is one of the three library consortium that Wesleyan is part of. Trinity College actually has a very large number of books of 15th Century French Catholicism. And modern Catholic stuff too (I was doing a search of the music of Dom Remy, Joan of Arc's neighborhood cathedral). Their name is "Trinity." Frankly, I'm becoming suspicious of the secularism of that school.
Speaking of secularism or lack therof, the chapel rennovation here is now done enough to have concerts. the first concert in the Wesleyan chapel (the building with the most seats, in case one wants to give a concert) was a priemere of an organ piece written by Christian Wolff specifically for the new organ. the concert sold out weeks ahead of time and Alvin Lucier ordered his class to go, only to find out that the necessary 50 tickets for them to attend were not available. So he invited Wolff to speak to his class and then walk over to the chapel for a sneak preview.
Half of the music department crammed into the evil basement classroom to hear Wolff speak. He talked about a piano piece that he wrote in the 50's. for some reason, he prepared the piano in the classroom, maybe just to show how it was done, as he didn't play anythign once it was prepared. then he talked briefly about the organ piece and we walked over to the chapel.
I had never been in the chapel before, but Alvin had trold me that it was nondemonational and that the organist played student works. Lately, rumors had been flying about the mazing programmable organ. Each stop is separately addressable. (I now know what an organ stop is, but I'll skip it for now.) We got to the chapel and sat down. It's so non-demoninational that you can't even tell which northeastern protestant sect the chapel is dedicated to, but I'll hazard a guess and say Methodist. the windows are stained glass pictures of Jesus and the apostles (no stars of David, no blessed virgins, no buddhas...). there's no cross in front put the pews have hymninals ("cof Colleges and schools") and some prayer books (something that resembles a missal, but is protestant and thus has a different name) with pictures of jesus on the front. Clearly, "non denominational" is a word with different meanings to different people.
the Mills chapel, for example, could be called non-demoninational. The big stone altar is in the shape of a square cross, but it looks very pagan and it's right in the centre of the round building. There's a pipe organ. the glass is not stained. AFAIK, there are no pictures of Jesus. the pagan group used to have rituals there when it rained. (cuz who wants to stand around ina field in the rain?). anyway, I'm sensing that this is one of those east coast / west coast things.
So we sat down in the chapel and somebody went looking for the organist. the chapel inside wasn't finished and there were carpenters with saws, hammers, drills and hardhats busily assembling the alter region. the organist (who is so so so gay) talked about the organ for a few minutes and explained that not all the pipes had arrived. He then began to play Wolff's piece, sans some of the pipes, while the carpenters continued to work.
the piece had several quiet spots (or maybe just the pipes were missing) that got completely drowned out by the carpentry. It was 20 minutes long and hard to focus on in the din. Also, the audience's focus was difuse and distracted, further making it harder to concentrate on the peice. not that they were making noise (not that it would have made a difference is they did), but just that the energy wasn't right. It was a very odd organ concert. We clapped at the end.
It was reminding me of a John Cage story, published in Silence and recited in Indeterminancy. In it, Christian Wolff was playing a piano piece next to an open window. through the window came many loud sounds from passersby and automobiles and boat horns and airplanes that made it hard to hear the music and occasionally drowned it completely out. after he had finished playing, somebody asked him if he could play the peice again, but with the window closed. He replied that he would be happy to do so, but the outside sounds had no interfered with or obstructed the piano piece at all.
so we asked Wolff (the same Wolff as in JC's story) what he thought of the recital and he said that he thought it was great, didn't mind the carpentry at all. Maybe he should have a carpentry percussion part to go with it. Some of us (christi) giggled.