{ "cells": [ { "cell_type": "markdown", "id": "90cc1a97-a057-47a9-88d8-3c317286b98a", "metadata": {}, "source": [ "# Complex Rhythms\n", "\n", "\n", "Within **maelzel.core** notes/chords have a duration in\n", "quarternotes. There is no concept of tuplet. The notational aspect\n", "of rhythm (how a note is represented as notation) is determined by a\n", "**quantization** step, which, even if highly configurable, is, by design,\n", "not directly controlled by the user\n", "\n", "Nevertheless, it is possible to input complex rhythms and the\n", "quantizer will try to render an accurate transcription of\n", "it. For example complex tuplets are quantized as expected:\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "63b6935a-42ef-44b5-89df-33ced1ea11d6", "metadata": {}, "outputs": [], "source": [ "from maelzel.core import *\n", "config = getConfig()\n", "config['quant.complexity'] = 'highest'\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "bc76c1b0-2c18-4ff1-95a6-44741d64278b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": { "image/png": { "width": 286 } }, "output_type": "display_data" } ], "source": [ "v = Chain([\n", " Note(\"4C+!\", dur=F(1, 3)),\n", "\n", " Note(\"4E\", dur=F(1, 3)*F(1, 5)),\n", " Note(\"4E-\", dur=F(1, 3)*F(1, 5)),\n", " Note(\"4Eb\", dur=F(1, 3)*F(1, 5)),\n", " Rest(dur=F(1, 3)*F(1, 5)),\n", " Note(\"4D\", dur=F(1, 3)*F(1, 5)),\n", " Note(\"4F-\", dur=F(1, 3)),\n", "])\n", "v.show()\n" ] }, { "cell_type": "markdown", "id": "0f276e8d-5755-4f27-9cc1-b0b010e4e083", "metadata": {}, "source": [ "### Ferneyhough's Third String Quartet, violin 1\n", "\n", "To test the quantizer, we can enter the beginning of the violin I part of Brian Ferneyhough's Third String Quartet\n", "\n", "![](assets/ferney1-orig.jpg)\n", "\n", "If not explicitely commanded to do so the quantizer is not able to find irregular tuplets (tuplets where the denominator is not a power of two) as the best rhythmical representation for most passages. In this case the `5:3` tuplet in measure 1 is represented as a *64th* `5:4` tuplet, which is mathematically accurate. The rest of the rhythms are recognized correctly, even when dealing with unusual time signatures like *11/6*" ] }, { "cell_type": "code", "execution_count": 9, "id": "f10efe8f-28e6-4dbf-b2e4-8be402e2d54b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": { "image/png": { "width": 683 } }, "output_type": "display_data" } ], "source": [ "resetImageCache()\n", "\n", "struct = ScoreStruct(\n", " title=\"Third String Quartet\",\n", " score=r'''\n", " 5/8, 36\n", " .\n", " 3/8\n", " 11/16\n", " 5/8\n", " 4/8\n", " .\n", "''')\n", "\n", "conf = getConfig()\n", "conf['quant.debug'] = False\n", "conf['quant.complexity'] = 'high'\n", "conf['quant.debugShowNumRows'] = 20\n", "\n", "setScoreStruct(struct)\n", "\n", "\n", "v1 = [\n", " Rest(F(3,8)),\n", " Rest(F(3,5)/4),\n", " # The ! sign after the notename anchors the enharmonic representation to the notename given\n", " Chord(\"5G 5E+!\", dur=F(3,8)*3/5, tied=True, dynamic='ppp').addSymbol('articulation', 'upbow'), \n", " Chord(\"5G 5E+\", dur=F(1, 4)*3/5+F(1,4)*2/3, gliss=\"6F 6Gb\"),\n", " Rest(1, dynamic='ffff'),\n", " Rest(1/2, label='sul pont', offset=struct.beat(1, 0)),\n", " Note(\"4C#:pp\", dur=1/8*F(2, 3)),\n", " Note(\"4E\", dur=F(2,3)/8),\n", " Note(\"4C\", dur=F(2,3)/8),\n", " Note(\"4D\", dur=F(2,3)/8, dynamic='ppp'),\n", " Chord(\"4Eb 4D+\", offset=struct.beat(1, 1.25), dur=1.25+F(2,3)/4, tied=True,\n", " dynamic='pppp', label='c.l.t'),\n", " Chord(\"4Eb 4D+\", dur=F(1,3)+F(2,3)/4, gliss=True),\n", " Chord('4E 4G-', 0),\n", " # Simple attributes, like duration, dynamic and simple articulations, can be added\n", " # to the note as shorthand\n", " Note(\"5G~:1/6+1/2:pp:accent\", offset=struct.beat(2, F(5,6)), \n", " ).addSymbol('harmonic', 'sounding'),\n", " Note(\"5G\", 1.5 + F(1,16)*F(2,3), dynamic='p').addSpanner(\">\"), \n", " Note(\"7C#\", F(2,3)/8+F(3,8)+F(7,16), dynamic='ppp').addSymbol('harmonic', 'sounding') \n", "]\n", "V1 = Voice(v1, 'Violin 1')\n", "\n", "# Symbols and other notational elements can also be added later\n", "V1[2].addSpanner('<', v1[4]).addSpanner('slur', V1[4])\n", "V1[6].addSpanner('>', v1[9])\n", "V1[11].addSpanner(symbols.Hairpin('>', niente=True), v1[12])\n", "V1[-3].addSpanner('<', V1[-2])\n", "\n", "# Within a jupyter notebook any object evaluated as last within a cell\n", "# will show html including rendered notation\n", "V1.show()\n", "\n" ] }, { "cell_type": "markdown", "id": "75c1d6ef-af25-4e9e-b474-603a2c0716dd", "metadata": {}, "source": [ "## Quantization Complexity\n", "\n", "It is possible to quantize the part with a lower rhythmic complexity. In this case only the first measure is quantized somewhat differently." ] }, { "cell_type": "code", "execution_count": 10, "id": "23a10334-8ea8-44cf-ab29-15a5efb7ebe7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": { "image/png": { "width": 683 } }, "output_type": "display_data" } ], "source": [ "lowres = CoreConfig()\n", "lowres['quant.complexity'] = 'low'\n", "lowres['show.staffSize'] = 13\n", "with lowres:\n", " V1.show()" ] }, { "cell_type": "markdown", "id": "2c35a0e3-b501-48ea-b709-01b13bdcbcb7", "metadata": {}, "source": [ "## Rhythmic transformations\n", "\n", "Any ``MObj`` (a Note, Chord, Chain, Voice, etc) can be subjected to multiple operations. For example, this returns a copy of the original voice time stretched by a factor of 4/3. Notice that the score structure is not modified" ] }, { "cell_type": "code", "execution_count": 11, "id": "b233bff2-1fa3-495f-933e-da9672309a7e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": { "image/png": { "width": 683 } }, "output_type": "display_data" } ], "source": [ "V1.timeScale(F(4,3)).show()" ] }, { "cell_type": "markdown", "id": "60c3aee4-dd70-4b50-a8e2-ea119324ec68", "metadata": {}, "source": [ "Pitch transformations are also possible. " ] }, { "cell_type": "code", "execution_count": 12, "id": "a724fdd2-dc31-4450-a5b4-af76e5eb040b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": { "image/png": { "width": 685 } }, "output_type": "display_data" } ], "source": [ "V1.invertPitch(\"5F-\").timeScale(11/7).show()" ] }, { "cell_type": "code", "execution_count": 13, "id": "c89af6dc-78c0-412c-9cb3-40eb20ed6fb6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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