No bootable device after changing partitions

Hi all. I've lost the ability to boot into my Windows partition via bootcamp. When I use OSX's startup disk system prefs, it can see Bootcamp, but restarting produces a "No bootable device" error message. If I hold down alt while rebooting, I only see Macintosh HD, no bootcamp (or Recovery, for that matter). I can see the Bootcamp disk on the desktop, and I can use Parallels to run Windows based on that disk, so I know the disk itself is ok.

I have done a fair bit of mucking about with partitions 🙂. I shrunk my Macintosh HD partition and inserted a new one between Macintosh HD and Bootcamp. Then, things got funky, and I created a CoreStorage volume on top of Macintosh HD, and joined it with a partition on an SD card (created a DIY fusion drive with a TarDisk). This all worked nicely, and I've now got a huge Macintosh HD, and the Mac boots fine, Parallels works fine, but I can't boot natively into Bootcamp.

Can anyone help, please?

Here's the output to "distil list":

/dev/disk0 (internal, physical):
   #:                       TYPE NAME                    SIZE       IDENTIFIER
   0:      GUID_partition_scheme                        *500.3 GB   disk0
   1:                        EFI EFI                     209.7 MB   disk0s1
   2:          Apple_CoreStorage Macintosh HD            279.8 GB   disk0s2
   3:                 Apple_Boot Boot OS X               134.2 MB   disk0s3
   4:                  Apple_HFS Untitled                20.5 GB    disk0s4
   5:       Microsoft Basic Data BOOTCAMP                199.4 GB   disk0s5
/dev/disk1 (internal, physical):
   #:                       TYPE NAME                    SIZE       IDENTIFIER
   0:      GUID_partition_scheme                        *255.9 GB   disk1
   1:                        EFI EFI                     209.7 MB   disk1s1
   2:                  Apple_HFS TarDiskFirst            309.0 MB   disk1s2
   3:          Apple_CoreStorage Macintosh HD            199.8 GB   disk1s3
   4:                 Apple_Boot Boot OS X               134.2 MB   disk1s4
   5:                  Apple_HFS WinData                 55.2 GB    disk1s5
/dev/disk2 (internal, virtual):
   #:                       TYPE NAME                    SIZE       IDENTIFIER
   0:                  Apple_HFS Macintosh HD           +479.0 GB   disk2
                                 Logical Volume on disk0s2, disk1s3
                                 663FCC6B-F913-4137-B61C-9A318FF32328
                                 Unencrypted

And here's "diskutil cs list":

CoreStorage logical volume groups (1 found)
|
+-- Logical Volume Group F83F0A91-AD34-4597-8D9A-81BE3FB9C484
    =========================================================
    Name:         Macintosh HD
    Status:       Online
    Size:         479685611520 B (479.7 GB)
    Free Space:   8220672 B (8.2 MB)
    |
    +-< Physical Volume F2FC702D-DEB2-4B54-A860-29306EE9F21A
    |   ----------------------------------------------------
    |   Index:    0
    |   Disk:     disk0s2
    |   Status:   Online
    |   Size:     279841767424 B (279.8 GB)
    |
    +-< Physical Volume 22546E66-3980-4B8E-82C8-9E9A10212D54
    |   ----------------------------------------------------
    |   Index:    1
    |   Disk:     disk1s3
    |   Status:   Online
    |   Size:     199843844096 B (199.8 GB)
    |
    +-> Logical Volume Family B4737E61-C85E-4BB4-BECC-0F8468902391
        ----------------------------------------------------------
        Encryption Type:         None
        |
        +-> Logical Volume 663FCC6B-F913-4137-B61C-9A318FF32328
            ---------------------------------------------------
            Disk:                  disk2
            Status:                Online
            Size (Total):          479039848448 B (479.0 GB)
            Revertible:            No
            LV Name:               Macintosh HD
            Volume Name:           Macintosh HD
            Content Hint:          Apple_HFS

Here's "sudo disk /dev/disk0" (all the zeroes here make me nervous):

Disk: /dev/disk0
geometry: 60821/255/63 [977105060 sectors]



Signature: 0xAA55
         Starting       Ending
#: id  cyl  hd sec -  cyl  hd sec [     start -       size]
------------------------------------------------------------------------
1: EE 1023 254  63 - 1023 254  63 [         1 -  977105059] <Unknown ID>
2: 00    0   0   0 -    0   0   0 [         0 -          0] unused
3: 00    0   0   0 -    0   0   0 [         0 -          0] unused
4: 00    0   0   0 -    0   0   0 [         0 -          0] unused

And finally, here's "sudo gpt -vv -r show /dev/disk0":

gpt show: /dev/disk0: mediasize=500277790720; sectorsize=512; blocks=977105060
gpt show: /dev/disk0: PMBR at sector 0
gpt show: /dev/disk0: Pri GPT at sector 1
gpt show: /dev/disk0: Sec GPT at sector 977105059
      start       size  index  contents
          0          1         PMBR
          1          1         Pri GPT header
          2         32         Pri GPT table
         34          6
         40     409600      1  GPT part - C12A7328-F81F-11D2-BA4B-00A0C93EC93B
     409640  546565952      2  GPT part - 53746F72-6167-11AA-AA11-00306543ECAC
  546975592     262144      3  GPT part - 426F6F74-0000-11AA-AA11-00306543ECAC
  547237736   40118424      4  GPT part - 48465300-0000-11AA-AA11-00306543ECAC
  587356160     262144
  587618304  389486585      5  GPT part - EBD0A0A2-B9E5-4433-87C0-68B6B72699C7
  977104889        138
  977105027         32         Sec GPT table
  977105059          1         Sec GPT header

My guess is that adding the extra partition confused where Bootcamp thinks the partition is (it moved from 4 to 5!) so it can't find it to load. Can anyone offer steps to fix this, please?

Thanks!
Matt