How to filter by date range in quarter using elasticsearch

I have an index /testdate/daterange with the following mapping

PUT /testdate/daterange/_mapping
{
  "daterange": {
    "properties": {
      "text":{
        "type": "string"
      },
      "date": {
        "type": "date",
        "format": "dateOptionalTime"
      }
    }
  }
}

And there are some documents e.g

PUT /testdate/daterange/1
{
  "text": "This Quater",
  "date": "2015-01-20T07:22:15+00:00"
}
PUT /testdate/daterange/2
{
  "text": "Last Quater",
  "date": "2015-11-20T07:22:15+00:00"
}

I want to search using a filter on the date field for documents from this
the last quarter. Something like the following

GET /testdate/daterange/_search
{
  "filter":{
    "range": {
      "date": {
        "gt": "now-1Q/Q",
        "lt": "now/Q"
      }
    }
  }
}

Elasticsearch only supports Joda date formats
(http://joda-time.sourceforge.net/apidocs/org/joda/time/format/DateTimeFormat.html)
which does not have any support for quarter.

Also if I try something like

GET /testdate/daterange/_search
{
  "filter":{
    "range": {
      "date": {
        "gt": "now-3M/3M",
        "lt": "now/3M"
      }
    }
  }
}

I get an error

ElasticsearchParseException[rounding `/` can only be used on single 

unit types

So how can I achieve this?

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Support for quarter (or q) is not present yet in ElasticSearch. An open issue is available for this: https://github.com/elastic/elasticsearch/issues/15612.
Also we cannot specify multiple of a date unit to round down to nearest one, so now-3M/M will work, but not now-3M/3M.